Author: Chuanlin Zhang
Publisher: CRC Press
ISBN: 1000892476
Category : Technology & Engineering
Languages : en
Pages : 344
Book Description
Based on the authors’ recent advances, this book focuses on a class of nonlinear systems with mismatched uncertainties/disturbances and discusses their typical control problems. It aims to provide a comprehensive view of the nonrecursive control theory and application guidelines. Various applications on the nonrecursive synthesis of complex nonlinear systems not only greatly simplify the control design process, weaken the system assumptions, and reduce the conservatism of gain selection, but also realize the essential detachment of control law design and Lyapunov function-based stability analysis. Therefore, different from the classical recursive control design methods, it is of significance to study the synthesis of nonlinear systems from the perspective of a new nonrecursive control framework. This book discusses the following typical control problems: theoretical background, homogeneous systems theory review, nonrecursive robust control design, nonrecursive adaptive control design, nonrecursive general dynamic predictive control, disturbance estimation and attenuation, nonrecursive stability analysis, implementation theory and real-life applications to series elastic actuators, DC microgrids, and permanent magnet synchronous motor (PMSM) systems under the proposed nonrecursive synthesis framework. This book will be a great reference for scholars and students in the field of automation and control. It will also be a useful source for control engineers and those working on anti-disturbance control, nonlinear output regulation, nonsmooth control, and other related topics.
Nonrecursive Control Design for Nonlinear Systems
Author: Chuanlin Zhang
Publisher: CRC Press
ISBN: 1000892476
Category : Technology & Engineering
Languages : en
Pages : 344
Book Description
Based on the authors’ recent advances, this book focuses on a class of nonlinear systems with mismatched uncertainties/disturbances and discusses their typical control problems. It aims to provide a comprehensive view of the nonrecursive control theory and application guidelines. Various applications on the nonrecursive synthesis of complex nonlinear systems not only greatly simplify the control design process, weaken the system assumptions, and reduce the conservatism of gain selection, but also realize the essential detachment of control law design and Lyapunov function-based stability analysis. Therefore, different from the classical recursive control design methods, it is of significance to study the synthesis of nonlinear systems from the perspective of a new nonrecursive control framework. This book discusses the following typical control problems: theoretical background, homogeneous systems theory review, nonrecursive robust control design, nonrecursive adaptive control design, nonrecursive general dynamic predictive control, disturbance estimation and attenuation, nonrecursive stability analysis, implementation theory and real-life applications to series elastic actuators, DC microgrids, and permanent magnet synchronous motor (PMSM) systems under the proposed nonrecursive synthesis framework. This book will be a great reference for scholars and students in the field of automation and control. It will also be a useful source for control engineers and those working on anti-disturbance control, nonlinear output regulation, nonsmooth control, and other related topics.
Publisher: CRC Press
ISBN: 1000892476
Category : Technology & Engineering
Languages : en
Pages : 344
Book Description
Based on the authors’ recent advances, this book focuses on a class of nonlinear systems with mismatched uncertainties/disturbances and discusses their typical control problems. It aims to provide a comprehensive view of the nonrecursive control theory and application guidelines. Various applications on the nonrecursive synthesis of complex nonlinear systems not only greatly simplify the control design process, weaken the system assumptions, and reduce the conservatism of gain selection, but also realize the essential detachment of control law design and Lyapunov function-based stability analysis. Therefore, different from the classical recursive control design methods, it is of significance to study the synthesis of nonlinear systems from the perspective of a new nonrecursive control framework. This book discusses the following typical control problems: theoretical background, homogeneous systems theory review, nonrecursive robust control design, nonrecursive adaptive control design, nonrecursive general dynamic predictive control, disturbance estimation and attenuation, nonrecursive stability analysis, implementation theory and real-life applications to series elastic actuators, DC microgrids, and permanent magnet synchronous motor (PMSM) systems under the proposed nonrecursive synthesis framework. This book will be a great reference for scholars and students in the field of automation and control. It will also be a useful source for control engineers and those working on anti-disturbance control, nonlinear output regulation, nonsmooth control, and other related topics.
Nonrecursive Control Design for Nonlinear Systems
Author: Chuanlin Zhang
Publisher: CRC Press
ISBN: 1000892468
Category : Technology & Engineering
Languages : en
Pages : 282
Book Description
Based on the authors’ recent advances, this book focuses on a class of nonlinear systems with mismatched uncertainties/disturbances and discusses their typical control problems. It aims to provide a comprehensive view of the nonrecursive control theory and application guidelines. Various applications on the nonrecursive synthesis of complex nonlinear systems not only greatly simplify the control design process, weaken the system assumptions, and reduce the conservatism of gain selection, but also realize the essential detachment of control law design and Lyapunov function-based stability analysis. Therefore, different from the classical recursive control design methods, it is of significance to study the synthesis of nonlinear systems from the perspective of a new nonrecursive control framework. This book discusses the following typical control problems: theoretical background, homogeneous systems theory review, nonrecursive robust control design, nonrecursive adaptive control design, nonrecursive general dynamic predictive control, disturbance estimation and attenuation, nonrecursive stability analysis, implementation theory and real-life applications to series elastic actuators, DC microgrids, and permanent magnet synchronous motor (PMSM) systems under the proposed nonrecursive synthesis framework. This book will be a great reference for scholars and students in the field of automation and control. It will also be a useful source for control engineers and those working on anti-disturbance control, nonlinear output regulation, nonsmooth control, and other related topics.
Publisher: CRC Press
ISBN: 1000892468
Category : Technology & Engineering
Languages : en
Pages : 282
Book Description
Based on the authors’ recent advances, this book focuses on a class of nonlinear systems with mismatched uncertainties/disturbances and discusses their typical control problems. It aims to provide a comprehensive view of the nonrecursive control theory and application guidelines. Various applications on the nonrecursive synthesis of complex nonlinear systems not only greatly simplify the control design process, weaken the system assumptions, and reduce the conservatism of gain selection, but also realize the essential detachment of control law design and Lyapunov function-based stability analysis. Therefore, different from the classical recursive control design methods, it is of significance to study the synthesis of nonlinear systems from the perspective of a new nonrecursive control framework. This book discusses the following typical control problems: theoretical background, homogeneous systems theory review, nonrecursive robust control design, nonrecursive adaptive control design, nonrecursive general dynamic predictive control, disturbance estimation and attenuation, nonrecursive stability analysis, implementation theory and real-life applications to series elastic actuators, DC microgrids, and permanent magnet synchronous motor (PMSM) systems under the proposed nonrecursive synthesis framework. This book will be a great reference for scholars and students in the field of automation and control. It will also be a useful source for control engineers and those working on anti-disturbance control, nonlinear output regulation, nonsmooth control, and other related topics.
Non-Recursive Behavioural Models in Control Analysis and Design
Author: Mihail Voicu
Publisher: Cambridge Scholars Publishing
ISBN: 152754303X
Category : Language Arts & Disciplines
Languages : en
Pages : 185
Book Description
This book develops a nonstandard approach to control systems analysis and design, exploring the properties of a new type of model called non-recursive behavioural models, unlike the recursive behavioural models of classical state space representation. For a real plant exhibiting a linear behaviour in the vicinity of any operating point, a non-recursive behavioural model (associated with an operating point) is defined as a coherent collection of appropriately selected input-state transfers, where, for a given timeline, the plant is actuated by piecewise constant input vectors. This work successively presents: mathematical preliminaries, definitions of linear non-recursive behavioural models, techniques for state controllability analysis, procedures for feedback control and optimal control design. All theoretical results are illustrated by laboratory experiments. This monograph is useful for postgraduate students, research workers and practitioners interested in systems theory and its applications.
Publisher: Cambridge Scholars Publishing
ISBN: 152754303X
Category : Language Arts & Disciplines
Languages : en
Pages : 185
Book Description
This book develops a nonstandard approach to control systems analysis and design, exploring the properties of a new type of model called non-recursive behavioural models, unlike the recursive behavioural models of classical state space representation. For a real plant exhibiting a linear behaviour in the vicinity of any operating point, a non-recursive behavioural model (associated with an operating point) is defined as a coherent collection of appropriately selected input-state transfers, where, for a given timeline, the plant is actuated by piecewise constant input vectors. This work successively presents: mathematical preliminaries, definitions of linear non-recursive behavioural models, techniques for state controllability analysis, procedures for feedback control and optimal control design. All theoretical results are illustrated by laboratory experiments. This monograph is useful for postgraduate students, research workers and practitioners interested in systems theory and its applications.
Road and Off-Road Vehicle System Dynamics Handbook
Author: Gianpiero Mastinu
Publisher: CRC Press
ISBN: 0849333229
Category : Science
Languages : en
Pages : 1710
Book Description
Featuring contributions from leading experts, the Road and Off-Road Vehicle System Dynamics Handbook provides comprehensive, authoritative coverage of all the major issues involved in road vehicle dynamic behavior. While the focus is on automobiles, this book also highlights motorcycles, heavy commercial vehicles, and off-road vehicles. The authors of the individual chapters, both from automotive industry and universities, address basic issues, but also include references to significant papers for further reading. Thus the handbook is devoted both to the beginner, wishing to acquire basic knowledge on a specific topic, and to the experienced engineer or scientist, wishing to have up-to-date information on a particular subject. It can also be used as a textbook for master courses at universities. The handbook begins with a short history of road and off-road vehicle dynamics followed by detailed, state-of-the-art chapters on modeling, analysis and optimization in vehicle system dynamics, vehicle concepts and aerodynamics, pneumatic tires and contact wheel-road/off-road, modeling vehicle subsystems, vehicle dynamics and active safety, man-vehicle interaction, intelligent vehicle systems, and road accident reconstruction and passive safety. Provides extensive coverage of modeling, simulation, and analysis techniques Surveys all vehicle subsystems from a vehicle dynamics point of view Focuses on pneumatic tires and contact wheel-road/off-road Discusses intelligent vehicle systems technologies and active safety Considers safety factors and accident reconstruction procedures Includes chapters written by leading experts from all over the world This text provides an applicable source of information for all people interested in a deeper understanding of road vehicle dynamics and related problems.
Publisher: CRC Press
ISBN: 0849333229
Category : Science
Languages : en
Pages : 1710
Book Description
Featuring contributions from leading experts, the Road and Off-Road Vehicle System Dynamics Handbook provides comprehensive, authoritative coverage of all the major issues involved in road vehicle dynamic behavior. While the focus is on automobiles, this book also highlights motorcycles, heavy commercial vehicles, and off-road vehicles. The authors of the individual chapters, both from automotive industry and universities, address basic issues, but also include references to significant papers for further reading. Thus the handbook is devoted both to the beginner, wishing to acquire basic knowledge on a specific topic, and to the experienced engineer or scientist, wishing to have up-to-date information on a particular subject. It can also be used as a textbook for master courses at universities. The handbook begins with a short history of road and off-road vehicle dynamics followed by detailed, state-of-the-art chapters on modeling, analysis and optimization in vehicle system dynamics, vehicle concepts and aerodynamics, pneumatic tires and contact wheel-road/off-road, modeling vehicle subsystems, vehicle dynamics and active safety, man-vehicle interaction, intelligent vehicle systems, and road accident reconstruction and passive safety. Provides extensive coverage of modeling, simulation, and analysis techniques Surveys all vehicle subsystems from a vehicle dynamics point of view Focuses on pneumatic tires and contact wheel-road/off-road Discusses intelligent vehicle systems technologies and active safety Considers safety factors and accident reconstruction procedures Includes chapters written by leading experts from all over the world This text provides an applicable source of information for all people interested in a deeper understanding of road vehicle dynamics and related problems.
Ground Vehicle Dynamics
Author: Karl Popp
Publisher: Springer Science & Business Media
ISBN: 3540685537
Category : Technology & Engineering
Languages : en
Pages : 357
Book Description
Ground Vehicle Dynamics is devoted to the mathematical modelling and dynamical analysis of ground vehicle systems composed of the vehicle body, the guidance and suspension devices and the corresponding guideway. Automobiles on uneven roads and railways on flexible tracks are prominent representatives of ground vehicle systems. All these different kinds of systems are treated in a common way by means of analytical dynamics and control theory. In addition to a detailed modelling of vehicles as multibody systems, the contact theory for rolling wheels and the modelling of guideways by finite element systems as well as stochastic processes are presented. As a particular result of this integrated approach the state equations of the global systems are obtained including the complete interactions between the subsystems considered as independent modules. The fundamentals of vehicle dynamics for longitudinal, lateral and vertical motions and vibrations of automobiles and railways are discussed in detail.
Publisher: Springer Science & Business Media
ISBN: 3540685537
Category : Technology & Engineering
Languages : en
Pages : 357
Book Description
Ground Vehicle Dynamics is devoted to the mathematical modelling and dynamical analysis of ground vehicle systems composed of the vehicle body, the guidance and suspension devices and the corresponding guideway. Automobiles on uneven roads and railways on flexible tracks are prominent representatives of ground vehicle systems. All these different kinds of systems are treated in a common way by means of analytical dynamics and control theory. In addition to a detailed modelling of vehicles as multibody systems, the contact theory for rolling wheels and the modelling of guideways by finite element systems as well as stochastic processes are presented. As a particular result of this integrated approach the state equations of the global systems are obtained including the complete interactions between the subsystems considered as independent modules. The fundamentals of vehicle dynamics for longitudinal, lateral and vertical motions and vibrations of automobiles and railways are discussed in detail.
Optimal Control
Author: Frank L. Lewis
Publisher: John Wiley & Sons
ISBN: 1118122720
Category : Technology & Engineering
Languages : en
Pages : 552
Book Description
A NEW EDITION OF THE CLASSIC TEXT ON OPTIMAL CONTROL THEORY As a superb introductory text and an indispensable reference, this new edition of Optimal Control will serve the needs of both the professional engineer and the advanced student in mechanical, electrical, and aerospace engineering. Its coverage encompasses all the fundamental topics as well as the major changes that have occurred in recent years. An abundance of computer simulations using MATLAB and relevant Toolboxes is included to give the reader the actual experience of applying the theory to real-world situations. Major topics covered include: Static Optimization Optimal Control of Discrete-Time Systems Optimal Control of Continuous-Time Systems The Tracking Problem and Other LQR Extensions Final-Time-Free and Constrained Input Control Dynamic Programming Optimal Control for Polynomial Systems Output Feedback and Structured Control Robustness and Multivariable Frequency-Domain Techniques Differential Games Reinforcement Learning and Optimal Adaptive Control
Publisher: John Wiley & Sons
ISBN: 1118122720
Category : Technology & Engineering
Languages : en
Pages : 552
Book Description
A NEW EDITION OF THE CLASSIC TEXT ON OPTIMAL CONTROL THEORY As a superb introductory text and an indispensable reference, this new edition of Optimal Control will serve the needs of both the professional engineer and the advanced student in mechanical, electrical, and aerospace engineering. Its coverage encompasses all the fundamental topics as well as the major changes that have occurred in recent years. An abundance of computer simulations using MATLAB and relevant Toolboxes is included to give the reader the actual experience of applying the theory to real-world situations. Major topics covered include: Static Optimization Optimal Control of Discrete-Time Systems Optimal Control of Continuous-Time Systems The Tracking Problem and Other LQR Extensions Final-Time-Free and Constrained Input Control Dynamic Programming Optimal Control for Polynomial Systems Output Feedback and Structured Control Robustness and Multivariable Frequency-Domain Techniques Differential Games Reinforcement Learning and Optimal Adaptive Control
Control of Complex Systems
Author: Kyriakos Vamvoudakis
Publisher: Butterworth-Heinemann
ISBN: 0128054379
Category : Technology & Engineering
Languages : en
Pages : 764
Book Description
In the era of cyber-physical systems, the area of control of complex systems has grown to be one of the hardest in terms of algorithmic design techniques and analytical tools. The 23 chapters, written by international specialists in the field, cover a variety of interests within the broader field of learning, adaptation, optimization and networked control. The editors have grouped these into the following 5 sections: "Introduction and Background on Control Theory, "Adaptive Control and Neuroscience, "Adaptive Learning Algorithms, "Cyber-Physical Systems and Cooperative Control, "Applications.The diversity of the research presented gives the reader a unique opportunity to explore a comprehensive overview of a field of great interest to control and system theorists. This book is intended for researchers and control engineers in machine learning, adaptive control, optimization and automatic control systems, including Electrical Engineers, Computer Science Engineers, Mechanical Engineers, Aerospace/Automotive Engineers, and Industrial Engineers. It could be used as a text or reference for advanced courses in complex control systems. • Collection of chapters from several well-known professors and researchers that will showcase their recent work • Presents different state-of-the-art control approaches and theory for complex systems • Gives algorithms that take into consideration the presence of modelling uncertainties, the unavailability of the model, the possibility of cooperative/non-cooperative goals and malicious attacks compromising the security of networked teams • Real system examples and figures throughout, make ideas concrete - Includes chapters from several well-known professors and researchers that showcases their recent work - Presents different state-of-the-art control approaches and theory for complex systems - Explores the presence of modelling uncertainties, the unavailability of the model, the possibility of cooperative/non-cooperative goals, and malicious attacks compromising the security of networked teams - Serves as a helpful reference for researchers and control engineers working with machine learning, adaptive control, and automatic control systems
Publisher: Butterworth-Heinemann
ISBN: 0128054379
Category : Technology & Engineering
Languages : en
Pages : 764
Book Description
In the era of cyber-physical systems, the area of control of complex systems has grown to be one of the hardest in terms of algorithmic design techniques and analytical tools. The 23 chapters, written by international specialists in the field, cover a variety of interests within the broader field of learning, adaptation, optimization and networked control. The editors have grouped these into the following 5 sections: "Introduction and Background on Control Theory, "Adaptive Control and Neuroscience, "Adaptive Learning Algorithms, "Cyber-Physical Systems and Cooperative Control, "Applications.The diversity of the research presented gives the reader a unique opportunity to explore a comprehensive overview of a field of great interest to control and system theorists. This book is intended for researchers and control engineers in machine learning, adaptive control, optimization and automatic control systems, including Electrical Engineers, Computer Science Engineers, Mechanical Engineers, Aerospace/Automotive Engineers, and Industrial Engineers. It could be used as a text or reference for advanced courses in complex control systems. • Collection of chapters from several well-known professors and researchers that will showcase their recent work • Presents different state-of-the-art control approaches and theory for complex systems • Gives algorithms that take into consideration the presence of modelling uncertainties, the unavailability of the model, the possibility of cooperative/non-cooperative goals and malicious attacks compromising the security of networked teams • Real system examples and figures throughout, make ideas concrete - Includes chapters from several well-known professors and researchers that showcases their recent work - Presents different state-of-the-art control approaches and theory for complex systems - Explores the presence of modelling uncertainties, the unavailability of the model, the possibility of cooperative/non-cooperative goals, and malicious attacks compromising the security of networked teams - Serves as a helpful reference for researchers and control engineers working with machine learning, adaptive control, and automatic control systems
CAD for Control Systems
Author: Derek A. Linkens
Publisher: CRC Press
ISBN: 1000148882
Category : Technology & Engineering
Languages : en
Pages : 464
Book Description
This comprehensive collection brings together current information on CAD for control systems including present and future trends in computer-aided design exploring the areas of modeling, simulation, simulation languages, environments, and design techniques. Presenting a systems approach to control d
Publisher: CRC Press
ISBN: 1000148882
Category : Technology & Engineering
Languages : en
Pages : 464
Book Description
This comprehensive collection brings together current information on CAD for control systems including present and future trends in computer-aided design exploring the areas of modeling, simulation, simulation languages, environments, and design techniques. Presenting a systems approach to control d
Adaptive Dynamic Programming for Control
Author: Huaguang Zhang
Publisher: Springer Science & Business Media
ISBN: 144714757X
Category : Technology & Engineering
Languages : en
Pages : 432
Book Description
There are many methods of stable controller design for nonlinear systems. In seeking to go beyond the minimum requirement of stability, Adaptive Dynamic Programming in Discrete Time approaches the challenging topic of optimal control for nonlinear systems using the tools of adaptive dynamic programming (ADP). The range of systems treated is extensive; affine, switched, singularly perturbed and time-delay nonlinear systems are discussed as are the uses of neural networks and techniques of value and policy iteration. The text features three main aspects of ADP in which the methods proposed for stabilization and for tracking and games benefit from the incorporation of optimal control methods: • infinite-horizon control for which the difficulty of solving partial differential Hamilton–Jacobi–Bellman equations directly is overcome, and proof provided that the iterative value function updating sequence converges to the infimum of all the value functions obtained by admissible control law sequences; • finite-horizon control, implemented in discrete-time nonlinear systems showing the reader how to obtain suboptimal control solutions within a fixed number of control steps and with results more easily applied in real systems than those usually gained from infinite-horizon control; • nonlinear games for which a pair of mixed optimal policies are derived for solving games both when the saddle point does not exist, and, when it does, avoiding the existence conditions of the saddle point. Non-zero-sum games are studied in the context of a single network scheme in which policies are obtained guaranteeing system stability and minimizing the individual performance function yielding a Nash equilibrium. In order to make the coverage suitable for the student as well as for the expert reader, Adaptive Dynamic Programming in Discrete Time: • establishes the fundamental theory involved clearly with each chapter devoted to a clearly identifiable control paradigm; • demonstrates convergence proofs of the ADP algorithms to deepen understanding of the derivation of stability and convergence with the iterative computational methods used; and • shows how ADP methods can be put to use both in simulation and in real applications. This text will be of considerable interest to researchers interested in optimal control and its applications in operations research, applied mathematics computational intelligence and engineering. Graduate students working in control and operations research will also find the ideas presented here to be a source of powerful methods for furthering their study.
Publisher: Springer Science & Business Media
ISBN: 144714757X
Category : Technology & Engineering
Languages : en
Pages : 432
Book Description
There are many methods of stable controller design for nonlinear systems. In seeking to go beyond the minimum requirement of stability, Adaptive Dynamic Programming in Discrete Time approaches the challenging topic of optimal control for nonlinear systems using the tools of adaptive dynamic programming (ADP). The range of systems treated is extensive; affine, switched, singularly perturbed and time-delay nonlinear systems are discussed as are the uses of neural networks and techniques of value and policy iteration. The text features three main aspects of ADP in which the methods proposed for stabilization and for tracking and games benefit from the incorporation of optimal control methods: • infinite-horizon control for which the difficulty of solving partial differential Hamilton–Jacobi–Bellman equations directly is overcome, and proof provided that the iterative value function updating sequence converges to the infimum of all the value functions obtained by admissible control law sequences; • finite-horizon control, implemented in discrete-time nonlinear systems showing the reader how to obtain suboptimal control solutions within a fixed number of control steps and with results more easily applied in real systems than those usually gained from infinite-horizon control; • nonlinear games for which a pair of mixed optimal policies are derived for solving games both when the saddle point does not exist, and, when it does, avoiding the existence conditions of the saddle point. Non-zero-sum games are studied in the context of a single network scheme in which policies are obtained guaranteeing system stability and minimizing the individual performance function yielding a Nash equilibrium. In order to make the coverage suitable for the student as well as for the expert reader, Adaptive Dynamic Programming in Discrete Time: • establishes the fundamental theory involved clearly with each chapter devoted to a clearly identifiable control paradigm; • demonstrates convergence proofs of the ADP algorithms to deepen understanding of the derivation of stability and convergence with the iterative computational methods used; and • shows how ADP methods can be put to use both in simulation and in real applications. This text will be of considerable interest to researchers interested in optimal control and its applications in operations research, applied mathematics computational intelligence and engineering. Graduate students working in control and operations research will also find the ideas presented here to be a source of powerful methods for furthering their study.
Continuous Time Dynamical Systems
Author: B.M. Mohan
Publisher: CRC Press
ISBN: 1466517301
Category : Mathematics
Languages : en
Pages : 244
Book Description
Optimal control deals with the problem of finding a control law for a given system such that a certain optimality criterion is achieved. An optimal control is a set of differential equations describing the paths of the control variables that minimize the cost functional. This book, Continuous Time Dynamical Systems: State Estimation and Optimal Control with Orthogonal Functions, considers different classes of systems with quadratic performance criteria. It then attempts to find the optimal control law for each class of systems using orthogonal functions that can optimize the given performance criteria. Illustrated throughout with detailed examples, the book covers topics including: Block-pulse functions and shifted Legendre polynomials State estimation of linear time-invariant systems Linear optimal control systems incorporating observers Optimal control of systems described by integro-differential equations Linear-quadratic-Gaussian control Optimal control of singular systems Optimal control of time-delay systems with and without reverse time terms Optimal control of second-order nonlinear systems Hierarchical control of linear time-invariant and time-varying systems
Publisher: CRC Press
ISBN: 1466517301
Category : Mathematics
Languages : en
Pages : 244
Book Description
Optimal control deals with the problem of finding a control law for a given system such that a certain optimality criterion is achieved. An optimal control is a set of differential equations describing the paths of the control variables that minimize the cost functional. This book, Continuous Time Dynamical Systems: State Estimation and Optimal Control with Orthogonal Functions, considers different classes of systems with quadratic performance criteria. It then attempts to find the optimal control law for each class of systems using orthogonal functions that can optimize the given performance criteria. Illustrated throughout with detailed examples, the book covers topics including: Block-pulse functions and shifted Legendre polynomials State estimation of linear time-invariant systems Linear optimal control systems incorporating observers Optimal control of systems described by integro-differential equations Linear-quadratic-Gaussian control Optimal control of singular systems Optimal control of time-delay systems with and without reverse time terms Optimal control of second-order nonlinear systems Hierarchical control of linear time-invariant and time-varying systems