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Saturated Switching Systems

Author: Abdellah Benzaouia

Publisher: Springer Science & Business Media

Published: 2012-03-30

Total Pages: 300

ISBN-13: 1447128990

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Saturated Switching Systems treats the problem of actuator saturation, inherent in all dynamical systems by using two approaches: positive invariance in which the controller is designed to work within a region of non-saturating linear behaviour; and saturation technique which allows saturation but guarantees asymptotic stability. The results obtained are extended from the linear systems in which they were first developed to switching systems with uncertainties, 2D switching systems, switching systems with Markovian jumping and switching systems of the Takagi-Sugeno type. The text represents a thoroughly referenced distillation of results obtained in this field during the last decade. The selected tool for analysis and design of stabilizing controllers is based on multiple Lyapunov functions and linear matrix inequalities. All the results are illustrated with numerical examples and figures many of them being modelled using MATLAB®. Saturated Switching Systems will be of interest to academic researchers in control systems and to professionals working in any of the many fields where systems are affected by saturation including: chemical and pharmaceutical batch processing, manufacturing (for example in steel rolling), air-traffic control, and the automotive and aerospace industries.

Book Synopsis Saturated Switching Systems by : Abdellah Benzaouia

Download or read book Saturated Switching Systems written by Abdellah Benzaouia and published by Springer Science & Business Media. This book was released on 2012-03-30 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Saturated Switching Systems treats the problem of actuator saturation, inherent in all dynamical systems by using two approaches: positive invariance in which the controller is designed to work within a region of non-saturating linear behaviour; and saturation technique which allows saturation but guarantees asymptotic stability. The results obtained are extended from the linear systems in which they were first developed to switching systems with uncertainties, 2D switching systems, switching systems with Markovian jumping and switching systems of the Takagi-Sugeno type. The text represents a thoroughly referenced distillation of results obtained in this field during the last decade. The selected tool for analysis and design of stabilizing controllers is based on multiple Lyapunov functions and linear matrix inequalities. All the results are illustrated with numerical examples and figures many of them being modelled using MATLAB®. Saturated Switching Systems will be of interest to academic researchers in control systems and to professionals working in any of the many fields where systems are affected by saturation including: chemical and pharmaceutical batch processing, manufacturing (for example in steel rolling), air-traffic control, and the automotive and aerospace industries.

Saturated Switching Systems

Author: Abdellah Benzaouia

Publisher: Springer

Published: 2012-03-28

Total Pages: 300

ISBN-13: 1447129008

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Book Synopsis Saturated Switching Systems by : Abdellah Benzaouia

Download or read book Saturated Switching Systems written by Abdellah Benzaouia and published by Springer. This book was released on 2012-03-28 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Saturated Switching Systems treats the problem of actuator saturation, inherent in all dynamical systems by using two approaches: positive invariance in which the controller is designed to work within a region of non-saturating linear behaviour; and saturation technique which allows saturation but guarantees asymptotic stability. The results obtained are extended from the linear systems in which they were first developed to switching systems with uncertainties, 2D switching systems, switching systems with Markovian jumping and switching systems of the Takagi-Sugeno type. The text represents a thoroughly referenced distillation of results obtained in this field during the last decade. The selected tool for analysis and design of stabilizing controllers is based on multiple Lyapunov functions and linear matrix inequalities. All the results are illustrated with numerical examples and figures many of them being modelled using MATLAB®. Saturated Switching Systems will be of interest to academic researchers in control systems and to professionals working in any of the many fields where systems are affected by saturation including: chemical and pharmaceutical batch processing, manufacturing (for example in steel rolling), air-traffic control, and the automotive and aerospace industries.

Saturated Control of Linear Systems

Author: Abdellah Benzaouia

Publisher: Springer

Published: 2017-09-20

Total Pages: 226

ISBN-13: 3319659901

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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.

Book Synopsis Saturated Control of Linear Systems by : Abdellah Benzaouia

Download or read book Saturated Control of Linear Systems written by Abdellah Benzaouia and published by Springer. This book was released on 2017-09-20 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Analysis and Synthesis of Delta Operator Systems with Actuator Saturation

Author: Hongjiu Yang

Publisher: Springer

Published: 2019-04-02

Total Pages: 421

ISBN-13: 9811336601

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This book presents basic research on delta operator systems (DOS) with actuator saturation. It proposes null controllable regions of delta operator systems, introduces the enlarging of the domain of attraction and analyzes the performance of DOSs subject to actuator saturation. It also discusses the domain of attraction on different systems in delta domain, and investigates the applications in complicated systems using delta operator approaches.

Book Synopsis Analysis and Synthesis of Delta Operator Systems with Actuator Saturation by : Hongjiu Yang

Download or read book Analysis and Synthesis of Delta Operator Systems with Actuator Saturation written by Hongjiu Yang and published by Springer. This book was released on 2019-04-02 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents basic research on delta operator systems (DOS) with actuator saturation. It proposes null controllable regions of delta operator systems, introduces the enlarging of the domain of attraction and analyzes the performance of DOSs subject to actuator saturation. It also discusses the domain of attraction on different systems in delta domain, and investigates the applications in complicated systems using delta operator approaches.

Control of Switching Systems by Invariance Analysis

Author: Laurent Fribourg

Publisher: John Wiley & Sons

Published: 2013-08-05

Total Pages: 150

ISBN-13: 1118791622

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This book presents correct-by-design control techniques for switching systems, using different methods of stability analysis. Switching systems are increasingly used in the electronics and mechanical industries; in power electronics and the automotive industry, for example. This is due to their flexibility and simplicity in accurately controlling industrial mechanisms. By adopting appropriate control rules, we can steer a switching system to a region centered at a desired equilibrium point, while avoiding “unsafe” regions of parameter saturation. The authors explain various correct-by-design methods for control synthesis, using different methods of stability and invariance analysis. They also provide several applications of these methods to industrial examples of power electronics. Contents 1. Control Theory: Basic Concepts. 2. Sampled Switched Systems. 3. Safety Controllers. 4. Stability Controllers. 5. Application to Multilevel Converters. 6. Other Issues: Reachability, Sensitivity, Robustness and Nonlinearity. About the Authors Laurent Fribourg is head of the LSV (Laboratoire Spécification et Vérification) and Scientific Coordinator of the Institut Farman, Institut Fédératif de Recherche CNRS, which brings together the expertise of five laboratories from ENS Cachan, in France, in the fields of modeling, simulation and validation of complex systems. He has published over 70 articles in international journals and reviewed proceedings of international conferences, in the domain of the theory of formal methods and their industrial applications. Romain Soulat is in the third year of his doctorate at the LSV at ENS Cachan in France, under the supervision of Laurent Fribourg. He is working on the modeling and verification of hybrid systems. In particular, his interests concern robustness in scheduling problems – especially as part of a collaborative project with EADS Astrium on the verification of a component in the launcher for the future Ariane 6 rocket. He has published 5 articles in reviewed proceedings of international conferences.

Book Synopsis Control of Switching Systems by Invariance Analysis by : Laurent Fribourg

Download or read book Control of Switching Systems by Invariance Analysis written by Laurent Fribourg and published by John Wiley & Sons. This book was released on 2013-08-05 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents correct-by-design control techniques for switching systems, using different methods of stability analysis. Switching systems are increasingly used in the electronics and mechanical industries; in power electronics and the automotive industry, for example. This is due to their flexibility and simplicity in accurately controlling industrial mechanisms. By adopting appropriate control rules, we can steer a switching system to a region centered at a desired equilibrium point, while avoiding “unsafe” regions of parameter saturation. The authors explain various correct-by-design methods for control synthesis, using different methods of stability and invariance analysis. They also provide several applications of these methods to industrial examples of power electronics. Contents 1. Control Theory: Basic Concepts. 2. Sampled Switched Systems. 3. Safety Controllers. 4. Stability Controllers. 5. Application to Multilevel Converters. 6. Other Issues: Reachability, Sensitivity, Robustness and Nonlinearity. About the Authors Laurent Fribourg is head of the LSV (Laboratoire Spécification et Vérification) and Scientific Coordinator of the Institut Farman, Institut Fédératif de Recherche CNRS, which brings together the expertise of five laboratories from ENS Cachan, in France, in the fields of modeling, simulation and validation of complex systems. He has published over 70 articles in international journals and reviewed proceedings of international conferences, in the domain of the theory of formal methods and their industrial applications. Romain Soulat is in the third year of his doctorate at the LSV at ENS Cachan in France, under the supervision of Laurent Fribourg. He is working on the modeling and verification of hybrid systems. In particular, his interests concern robustness in scheduling problems – especially as part of a collaborative project with EADS Astrium on the verification of a component in the launcher for the future Ariane 6 rocket. He has published 5 articles in reviewed proceedings of international conferences.

Control Systems with Actuator Saturation

Author: Tingshu Hu

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 392

ISBN-13: 1461202051

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Saturation nonlinearities are ubiquitous in engineering systems. In control systems, every physical actuator or sensor is subject to saturation owing to its maximum and minimum limits. A digital filter is subject to saturation if it is implemented in a finite word length format. Saturation nonlinearities are also purposely introduced into engineering systems such as control sys tems and neural network systems. Regardless of how saturation arises, the analysis and design of a system that contains saturation nonlinearities is an important problem. Not only is this problem theoretically challenging, but it is also practically imperative. This book intends to study control systems with actuator saturation in a systematic way. It will also present some related results on systems with state saturation or sensor saturation. Roughly speaking, there are two strategies for dealing with actuator sat uration. The first strategy is to neglect the saturation in the first stage of the control design process, and then to add some problem-specific schemes to deal with the adverse effects caused by saturation. These schemes, known as anti-windup schemes, are typically introduced using ad hoc modifications and extensive simulations. The basic idea behind these schemes is to intro duce additional feedbacks in such a way that the actuator stays properly within its limits. Most of these schemes lead to improved performance but poorly understood stability properties.

Book Synopsis Control Systems with Actuator Saturation by : Tingshu Hu

Download or read book Control Systems with Actuator Saturation written by Tingshu Hu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Saturation nonlinearities are ubiquitous in engineering systems. In control systems, every physical actuator or sensor is subject to saturation owing to its maximum and minimum limits. A digital filter is subject to saturation if it is implemented in a finite word length format. Saturation nonlinearities are also purposely introduced into engineering systems such as control sys tems and neural network systems. Regardless of how saturation arises, the analysis and design of a system that contains saturation nonlinearities is an important problem. Not only is this problem theoretically challenging, but it is also practically imperative. This book intends to study control systems with actuator saturation in a systematic way. It will also present some related results on systems with state saturation or sensor saturation. Roughly speaking, there are two strategies for dealing with actuator sat uration. The first strategy is to neglect the saturation in the first stage of the control design process, and then to add some problem-specific schemes to deal with the adverse effects caused by saturation. These schemes, known as anti-windup schemes, are typically introduced using ad hoc modifications and extensive simulations. The basic idea behind these schemes is to intro duce additional feedbacks in such a way that the actuator stays properly within its limits. Most of these schemes lead to improved performance but poorly understood stability properties.

Switching in Systems and Control

Author: Daniel Liberzon

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 232

ISBN-13: 1461200172

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The theory of switched systems is related to the study of hybrid systems, which has gained attention from control theorists, computer scientists, and practicing engineers. This book examines switched systems from a control-theoretic perspective, focusing on stability analysis and control synthesis of systems that combine continuous dynamics with switching events. It includes a vast bibliography and a section of technical and historical notes.

Book Synopsis Switching in Systems and Control by : Daniel Liberzon

Download or read book Switching in Systems and Control written by Daniel Liberzon and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of switched systems is related to the study of hybrid systems, which has gained attention from control theorists, computer scientists, and practicing engineers. This book examines switched systems from a control-theoretic perspective, focusing on stability analysis and control synthesis of systems that combine continuous dynamics with switching events. It includes a vast bibliography and a section of technical and historical notes.

NBS Special Publication

Author:

Publisher:

Published: 1965

Total Pages: 478

ISBN-13:

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Book Synopsis NBS Special Publication by :

Download or read book NBS Special Publication written by and published by . This book was released on 1965 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Miscellaneous Publication - National Bureau of Standards

Author: United States. National Bureau of Standards

Publisher:

Published: 1965

Total Pages: 476

ISBN-13:

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Book Synopsis Miscellaneous Publication - National Bureau of Standards by : United States. National Bureau of Standards

Download or read book Miscellaneous Publication - National Bureau of Standards written by United States. National Bureau of Standards and published by . This book was released on 1965 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Communication Switching Systems

Author: Murry Rubin

Publisher:

Published: 1966

Total Pages: 408

ISBN-13:

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Book Synopsis Communication Switching Systems by : Murry Rubin

Download or read book Communication Switching Systems written by Murry Rubin and published by . This book was released on 1966 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: