LMIs in Control Systems

LMIs in Control Systems PDF Author: Guang-Ren Duan
Publisher: CRC Press
ISBN: 1466583002
Category : Computers
Languages : en
Pages : 482

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Book Description
Although LMI has emerged as a powerful tool with applications across the major domains of systems and control, there has been a need for a textbook that provides an accessible introduction to LMIs in control systems analysis and design. Filling this need, LMIs in Control Systems: Analysis, Design and Applications focuses on the basic analysis and d

LMIs in Control Systems

LMIs in Control Systems PDF Author: Guang-Ren Duan
Publisher: CRC Press
ISBN: 1466583002
Category : Computers
Languages : en
Pages : 482

Get Book Here

Book Description
Although LMI has emerged as a powerful tool with applications across the major domains of systems and control, there has been a need for a textbook that provides an accessible introduction to LMIs in control systems analysis and design. Filling this need, LMIs in Control Systems: Analysis, Design and Applications focuses on the basic analysis and d

Linear Matrix Inequalities in System and Control Theory

Linear Matrix Inequalities in System and Control Theory PDF Author: Stephen Boyd
Publisher: SIAM
ISBN: 9781611970777
Category : Mathematics
Languages : en
Pages : 203

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Book Description
In this book the authors reduce a wide variety of problems arising in system and control theory to a handful of convex and quasiconvex optimization problems that involve linear matrix inequalities. These optimization problems can be solved using recently developed numerical algorithms that not only are polynomial-time but also work very well in practice; the reduction therefore can be considered a solution to the original problems. This book opens up an important new research area in which convex optimization is combined with system and control theory, resulting in the solution of a large number of previously unsolved problems.

Control of Complex Systems

Control of Complex Systems PDF Author: Aleksandar Zecevic
Publisher: Springer Science & Business Media
ISBN: 1441912169
Category : Science
Languages : en
Pages : 233

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Book Description
"Control of Complex Systems: Structural Constraints and Uncertainty" focuses on control design under information structure constraints, with a particular emphasis on large-scale systems. The complexity of such systems poses serious computational challenges and severely restricts the types of feedback laws that can be used in practice. This book systematically addresses the main issues, and provides a number of applications that illustrate potential design methods, most which use Linear Matrix Inequalities (LMIs), which have become a popular design tool over the past two decades. Authors Aleksandar I. Zecevic and Dragoslav D. Siljak use their years of experience in the control field to also: Address the issues of large-scale systems as they relate to robust control and linear matrix inequalities Discuss a new approach to applying standard LMI techniques to large-scale systems, combining graphic-theoretic decomposition techniques with appropriate low-rank numerical approximations and dramatically reducing the computational effort Providing numerous examples and a wide variety of applications, ranging from electric power systems and nonlinear circuits to mechanical problems and dynamic Boolean networks "Control of Complex Systems: Structural Constraints and Uncertainty" will appeal to practicing engineers, researchers and students working in control design and other related areas.

Piecewise Affine Control: Continuous-Time, Sampled-Data, and Networked Systems

Piecewise Affine Control: Continuous-Time, Sampled-Data, and Networked Systems PDF Author: Luis Rodrigues
Publisher: SIAM
ISBN: 1611975905
Category : Mathematics
Languages : en
Pages : 243

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Book Description
Engineering systems operate through actuators, most of which will exhibit phenomena such as saturation or zones of no operation, commonly known as dead zones. These are examples of piecewise-affine characteristics, and they can have a considerable impact on the stability and performance of engineering systems. This book targets controller design for piecewise affine systems, fulfilling both stability and performance requirements. The authors present a unified computational methodology for the analysis and synthesis of piecewise affine controllers, taking an approach that is capable of handling sliding modes, sampled-data, and networked systems. They introduce algorithms that will be applicable to nonlinear systems approximated by piecewise affine systems, and they feature several examples from areas such as switching electronic circuits, autonomous vehicles, neural networks, and aerospace applications. Piecewise Affine Control: Continuous-Time, Sampled-Data, and Networked Systems is intended for graduate students, advanced senior undergraduate students, and researchers in academia and industry. It is also appropriate for engineers working on applications where switched linear and affine models are important.

Advances in Linear Matrix Inequality Methods in Control

Advances in Linear Matrix Inequality Methods in Control PDF Author: Laurent El Ghaoui
Publisher: SIAM
ISBN: 9780898719833
Category : Mathematics
Languages : en
Pages : 399

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Book Description
Linear matrix inequalities (LMIs) have recently emerged as useful tools for solving a number of control problems. This book provides an up-to-date account of the LMI method and covers topics such as recent LMI algorithms, analysis and synthesis issues, nonconvex problems, and applications. It also emphasizes applications of the method to areas other than control.

Mono- and Multivariable Control and Estimation

Mono- and Multivariable Control and Estimation PDF Author: Eric Ostertag
Publisher: Springer Science & Business Media
ISBN: 3642137342
Category : Technology & Engineering
Languages : en
Pages : 359

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Book Description
This book presents the various design methods of a state-feedback control law and of an observer. The considered systems are of continuous-time and of discrete-time nature, monovariable or multivariable, the last ones being of main consideration. Three different approaches are described: • Linear design methods, with an emphasis on decoupling strategies, and a general formula for multivariable controller or observer design; • Quadratic optimization methods: Linear Quadratic Control (LQC), optimal Kalman filtering, Linear Quadratic Gaussian (LQG) control; • Linear matrix inequalities (LMIs) to solve linear and quadratic problems. The duality between control and observation is taken to advantage and extended up to the mathematical domain. A large number of exercises, all given with their detailed solutions, mostly obtained with MATLAB, reinforce and exemplify the practical orientation of this book. The programs, created by the author for their solving, are available on the Internet sites of Springer and of MathWorks for downloading. This book is targeted at students of Engineering Schools or Universities, at the Master’s level, at engineers desiring to design and implement innovative control methods, and at researchers.

Mathematical Methods for Robust and Nonlinear Control

Mathematical Methods for Robust and Nonlinear Control PDF Author: Matthew C. Turner
Publisher: Springer Science & Business Media
ISBN: 1848000251
Category : Technology & Engineering
Languages : en
Pages : 444

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Book Description
The underlying theory on which much modern robust and nonlinear control is based can be difficult to grasp. This volume is a collection of lecture notes presented by experts in advanced control engineering. The book is designed to provide a better grounding in the theory underlying several important areas of control. It is hoped the book will help the reader to apply otherwise abstruse ideas of nonlinear control in a variety of real systems.

Advanced Control Design with Application to Electromechanical Systems

Advanced Control Design with Application to Electromechanical Systems PDF Author: Magdi S. Mahmoud
Publisher: Butterworth-Heinemann
ISBN: 0128145447
Category : Technology & Engineering
Languages : en
Pages : 390

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Book Description
Advanced Control Design with Application to Electromechanical Systems represents the continuing effort in the pursuit of analytic theory and rigorous design for robust control methods. The book provides an overview of the feedback control systems and their associated definitions, with discussions on finite dimension vector spaces, mappings and convex analysis. In addition, a comprehensive treatment of continuous control system design is presented, along with an introduction to control design topics pertaining to discrete-time systems. Other sections introduces linear H1 and H2 theory, dissipativity analysis and synthesis, and a wide spectrum of models pertaining to electromechanical systems. Finally, the book examines the theory and mathematical analysis of multiagent systems. Researchers on robust control theory and electromechanical systems and graduate students working on robust control will benefit greatly from this book. - Introduces a coherent and unified framework for studying robust control theory - Provides the control-theoretic background required to read and contribute to the research literature - Presents the main ideas and demonstrations of the major results of robust control theory - Includes MATLAB codes to implement during research

Periodic Systems

Periodic Systems PDF Author: Sergio Bittanti
Publisher: Springer Science & Business Media
ISBN: 1848009100
Category : Language Arts & Disciplines
Languages : en
Pages : 438

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Book Description
This book offers a comprehensive treatment of the theory of periodic systems, including the problems of filtering and control. It covers an array of topics, presenting an overview of the field and focusing on discrete-time signals and systems.

Tensor Product Model Transformation in Polytopic Model-Based Control

Tensor Product Model Transformation in Polytopic Model-Based Control PDF Author: Péter Baranyi
Publisher: CRC Press
ISBN: 1439818177
Category : Technology & Engineering
Languages : en
Pages : 262

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Book Description
Tensor Product Model Transformation in Polytopic Model-Based Control offers a new perspective of control system design. Instead of relying solely on the formulation of more effective LMIs, which is the widely adopted approach in existing LMI-related studies, this cutting-edge book calls for a systematic modification and reshaping of the polytopic convex hull to achieve enhanced performance. Varying the convexity of the resulting TP canonical form is a key new feature of the approach. The book concentrates on reducing analytical derivations in the design process, echoing the recent paradigm shift on the acceptance of numerical solution as a valid form of output to control system problems. The salient features of the book include: Presents a new HOSVD-based canonical representation for (qLPV) models that enables trade-offs between approximation accuracy and computation complexity Supports a conceptually new control design methodology by proposing TP model transformation that offers a straightforward way of manipulating different types of convexity to appear in polytopic representation Introduces a numerical transformation that has the advantage of readily accommodating models described by non-conventional modeling and identification approaches, such as neural networks and fuzzy rules Presents a number of practical examples to demonstrate the application of the approach to generate control system design for complex (qLPV) systems and multiple control objectives. The authors’ approach is based on an extended version of singular value decomposition applicable to hyperdimensional tensors. Under the approach, trade-offs between approximation accuracy and computation complexity can be performed through the singular values to be retained in the process. The use of LMIs enables the incorporation of multiple performance objectives into the control design problem and assurance of a solution via convex optimization if feasible. Tensor Product Model Transformation in Polytopic Model-Based Control includes examples and incorporates MATLAB® Toolbox TPtool. It provides a reference guide for graduate students, researchers, engineers, and practitioners who are dealing with nonlinear systems control applications.