Control of Linear Systems with Regulation and Input Constraints

Control of Linear Systems with Regulation and Input Constraints PDF Author: Ali Saberi
Publisher: Springer Science & Business Media
ISBN: 1447107276
Category : Technology & Engineering
Languages : en
Pages : 467

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Book Description
This monograph couples output regulation with several recent developments in modern control theory. It re-examines output regulation theory to achieve a design of controllers that take into account the physical limiting characteristics of actuators such as saturation. The book provides a solution to the basic problem of finding a controller that achieves internal stabilization, results in a desired performance norm, and renders asymptotic tracking of a reference signal even in the presence of persistent disturbances.

Control of Linear Systems with Regulation and Input Constraints

Control of Linear Systems with Regulation and Input Constraints PDF Author: Ali Saberi
Publisher: Springer Science & Business Media
ISBN: 1447107276
Category : Technology & Engineering
Languages : en
Pages : 467

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Book Description
This monograph couples output regulation with several recent developments in modern control theory. It re-examines output regulation theory to achieve a design of controllers that take into account the physical limiting characteristics of actuators such as saturation. The book provides a solution to the basic problem of finding a controller that achieves internal stabilization, results in a desired performance norm, and renders asymptotic tracking of a reference signal even in the presence of persistent disturbances.

Saturated Control of Linear Systems

Saturated Control of Linear Systems PDF Author: Abdellah Benzaouia
Publisher: Springer
ISBN: 3319659901
Category : Technology & Engineering
Languages : en
Pages : 257

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Book Description
This book deals with a combination of two main problems for the first time. They are saturation on control and on the rate (or increment) of the control, and the solution of unsymmetrical saturation on the control by LMIs. It treats linear systems in state space form, in both the continuous- and discrete-time domains. Necessary and sufficient conditions are derived for autonomous linear systems with constrained state increment or rate, such that the system evolves respecting incremental or rate constraints if any. A pole assignment technique is then used to solve the problem, giving stabilizing state feedback controllers that respect non-symmetrical constraints on control alone or on both control and its increment or rate. Illustrative examples show the application of these methods on academic examples or on such real plant models as the double integrator system. This problem is then extended to various others including: systems with constraints and perturbations; singular systems with constrained control; systems with unsymmetrical saturations; saturated systems with delay, and 2-D systems with saturations. The solutions obtained are of two types: necessary and sufficient conditions solved with linear programming techniques; and sufficient conditions under LMIs. A new approach extends existing techniques for dealing with symmetrical saturations to take direct account of unsymmetrical saturations into account with LMIs. This tool enables the authors to obtain new results on continuous- and discrete-time systems. The book uses illustrative examples and figures and provides many comparisons with existing results. Systems theoreticians interested in multidimensional systems and practitioners working with saturated and constrained controllers will find the research and background presented in Saturated Control of Linear Systems to be of considerable interest in helping them overcome problems with their plant and in stimulating further research.

Predictive Control for Linear and Hybrid Systems

Predictive Control for Linear and Hybrid Systems PDF Author: Francesco Borrelli
Publisher: Cambridge University Press
ISBN: 1107016886
Category : Mathematics
Languages : en
Pages : 447

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Book Description
With a simple approach that includes real-time applications and algorithms, this book covers the theory of model predictive control (MPC).

Internal and External Stabilization of Linear Systems with Constraints

Internal and External Stabilization of Linear Systems with Constraints PDF Author: Ali Saberi
Publisher: Springer Science & Business Media
ISBN: 0817647872
Category : Science
Languages : en
Pages : 846

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Book Description
Unifying two decades of research, this book is the first to establish a comprehensive foundation for a systematic analysis and design of linear systems with general state and input constraints. For such systems, which can be used as models for most nonlinear systems, the issues of stability, controller design, additonal constraints, and satisfactory performance are addressed. The book is an excellent reference for practicing engineers, graduate students, and researchers in control systems theory and design. It may also serve as an advanced graduate text for a course or a seminar in nonlinear control systems theory and design in applied mathematics or engineering departments. Minimal prerequisites include a first graduate course in state-space methods as well as a first course in control systems design.

Constrained Control and Estimation

Constrained Control and Estimation PDF Author: Graham Goodwin
Publisher: Springer Science & Business Media
ISBN: 184628063X
Category : Technology & Engineering
Languages : en
Pages : 415

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Book Description
Recent developments in constrained control and estimation have created a need for this comprehensive introduction to the underlying fundamental principles. These advances have significantly broadened the realm of application of constrained control. - Using the principal tools of prediction and optimisation, examples of how to deal with constraints are given, placing emphasis on model predictive control. - New results combine a number of methods in a unique way, enabling you to build on your background in estimation theory, linear control, stability theory and state-space methods. - Companion web site, continually updated by the authors. Easy to read and at the same time containing a high level of technical detail, this self-contained, new approach to methods for constrained control in design will give you a full understanding of the subject.

Stability and Stabilization of Linear Systems with Saturating Actuators

Stability and Stabilization of Linear Systems with Saturating Actuators PDF Author: Sophie Tarbouriech
Publisher: Springer Science & Business Media
ISBN: 0857299417
Category : Technology & Engineering
Languages : en
Pages : 441

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Book Description
This monograph details basic concepts and tools fundamental for the analysis and synthesis of linear systems subject to actuator saturation and developments in recent research. The authors use a state-space approach and focus on stability analysis and the synthesis of stabilizing control laws in both local and global contexts. Different methods of modeling the saturation and behavior of the nonlinear closed-loop system are given special attention. Various kinds of Lyapunov functions are considered to present different stability conditions. Results arising from uncertain systems and treating performance in the presence of saturation are given. The text proposes methods and algorithms, based on the use of linear programming and linear matrix inequalities, for computing estimates of the basin of attraction and for designing control systems accounting for the control bounds and the possibility of saturation. They can be easily implemented with mathematical software packages.

Assessment and Future Directions of Nonlinear Model Predictive Control

Assessment and Future Directions of Nonlinear Model Predictive Control PDF Author: Rolf Findeisen
Publisher: Springer
ISBN: 3540726993
Category : Technology & Engineering
Languages : en
Pages : 644

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Book Description
Thepastthree decadeshaveseenrapiddevelopmentin the areaofmodelpred- tive control with respect to both theoretical and application aspects. Over these 30 years, model predictive control for linear systems has been widely applied, especially in the area of process control. However, today’s applications often require driving the process over a wide region and close to the boundaries of - erability, while satisfying constraints and achieving near-optimal performance. Consequently, the application of linear control methods does not always lead to satisfactory performance, and here nonlinear methods must be employed. This is one of the reasons why nonlinear model predictive control (NMPC) has - joyed signi?cant attention over the past years,with a number of recent advances on both the theoretical and application frontier. Additionally, the widespread availability and steadily increasing power of today’s computers, as well as the development of specially tailored numerical solution methods for NMPC, bring thepracticalapplicabilityofNMPCwithinreachevenforveryfastsystems.This has led to a series of new, exciting developments, along with new challenges in the area of NMPC.

Optimal State Estimation

Optimal State Estimation PDF Author: Dan Simon
Publisher: John Wiley & Sons
ISBN: 0470045337
Category : Technology & Engineering
Languages : en
Pages : 554

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Book Description
A bottom-up approach that enables readers to master and apply the latest techniques in state estimation This book offers the best mathematical approaches to estimating the state of a general system. The author presents state estimation theory clearly and rigorously, providing the right amount of advanced material, recent research results, and references to enable the reader to apply state estimation techniques confidently across a variety of fields in science and engineering. While there are other textbooks that treat state estimation, this one offers special features and a unique perspective and pedagogical approach that speed learning: * Straightforward, bottom-up approach begins with basic concepts and then builds step by step to more advanced topics for a clear understanding of state estimation * Simple examples and problems that require only paper and pen to solve lead to an intuitive understanding of how theory works in practice * MATLAB(r)-based source code that corresponds to examples in the book, available on the author's Web site, enables readers to recreate results and experiment with other simulation setups and parameters Armed with a solid foundation in the basics, readers are presented with a careful treatment of advanced topics, including unscented filtering, high order nonlinear filtering, particle filtering, constrained state estimation, reduced order filtering, robust Kalman filtering, and mixed Kalman/H? filtering. Problems at the end of each chapter include both written exercises and computer exercises. Written exercises focus on improving the reader's understanding of theory and key concepts, whereas computer exercises help readers apply theory to problems similar to ones they are likely to encounter in industry. With its expert blend of theory and practice, coupled with its presentation of recent research results, Optimal State Estimation is strongly recommended for undergraduate and graduate-level courses in optimal control and state estimation theory. It also serves as a reference for engineers and science professionals across a wide array of industries.

Control Systems with Actuator Saturation

Control Systems with Actuator Saturation PDF Author: Tingshu Hu
Publisher: Springer Science & Business Media
ISBN: 9780817642198
Category : Language Arts & Disciplines
Languages : en
Pages : 564

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Book Description
It also presents some related results on systems with state saturation or sensor saturation.".

Approximations to the Optimal Control of Linear Systems Subject to State Variable Constraints by Use of Linear Programming Techniques

Approximations to the Optimal Control of Linear Systems Subject to State Variable Constraints by Use of Linear Programming Techniques PDF Author: August Frederick Fath
Publisher:
ISBN:
Category : Linear programming
Languages : en
Pages : 588

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Book Description