Saturated Control Of Linear Systems

Author : Abdellah Benzaouia,Fouad Mesquine,Mohamed Benhayoun
Publisher : Springer
Page : 226 pages
File Size : 54,9 Mb
Release : 2017-09-20
Category : Technology & Engineering
ISBN : 9783319659909

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Saturated Control of Linear Systems by Abdellah Benzaouia,Fouad Mesquine,Mohamed Benhayoun Pdf

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.

Author : Sophie Tarbouriech,Germain Garcia,João Manoel Gomes da Silva Jr.,Isabelle Queinnec
Publisher : Springer Science & Business Media
Page : 441 pages
File Size : 43,7 Mb
Release : 2011-08-13
Category : Technology & Engineering
ISBN : 9780857299413

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Stability and Stabilization of Linear Systems with Saturating Actuators by Sophie Tarbouriech,Germain Garcia,João Manoel Gomes da Silva Jr.,Isabelle Queinnec Pdf

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.

Author : Tingshu Hu,Zongli Lin
Publisher : Springer Science & Business Media
Page : 392 pages
File Size : 48,6 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461202059

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Control Systems with Actuator Saturation by Tingshu Hu,Zongli Lin Pdf

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.

Author : Abdellah Benzaouia
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 51,6 Mb
Release : 2012-03-30
Category : Technology & Engineering
ISBN : 9781447128991

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Saturated Switching Systems by Abdellah Benzaouia Pdf

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.

Author : Vikram Kapila,Karolos Grigoriadis
Publisher : CRC Press
Page : 338 pages
File Size : 49,7 Mb
Release : 2002-02-20
Category : Technology & Engineering
ISBN : 0203910818

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Actuator Saturation Control by Vikram Kapila,Karolos Grigoriadis Pdf

Compiling the most significant advances from nearly a decade of research, this reference compares and evaluates a wide variety of techniques for the design, analysis, and implementation of control methodologies for systems with actuator saturation. The book presents efficient computational algorithms and new control paradigms for application in the

Author : Ali Saberi,Anton A. Stoorvogel,Peddapullaiah Sannuti
Publisher : Springer Science & Business Media
Page : 467 pages
File Size : 43,8 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781447107279

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Control of Linear Systems with Regulation and Input Constraints by Ali Saberi,Anton A. Stoorvogel,Peddapullaiah Sannuti Pdf

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.

Author : Yuanlong Li,Zongli Lin
Publisher : Birkhäuser
Page : 365 pages
File Size : 52,5 Mb
Release : 2017-11-28
Category : Science
ISBN : 9783319642468

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Stability and Performance of Control Systems with Actuator Saturation by Yuanlong Li,Zongli Lin Pdf

This monograph investigates the stability and performance of control systems subject to actuator saturation. It presents new results obtained by both improving the treatment of the saturation function and constructing new Lyapunov functions. In particular, two improved treatments of the saturation function are described that exploit the intricate structural properties of its traditional convex hull representation. The authors apply these treatments to the estimation of the domain of attraction and the finite-gain L2 performance by using the quadratic Lyapunov function and the composite quadratic Lyapunov function. Additionally, an algebraic computation method is given for the exact determination of the maximal contractively invariant ellipsoid, a level set of a quadratic Lyapunov function. The authors conclude with a look at some of the problems that can be solved by the methods developed and described throughout the book. Numerous step-by-step descriptions, examples, and simulations are provided to illustrate the effectiveness of their results. Stability and Performance of Control Systems with Actuator Saturation will be an invaluable reference for graduate students, researchers, and practitioners in control engineering and applied mathematics.

Author : Abdellah Benzaouia
Publisher : Springer
Page : 288 pages
File Size : 50,7 Mb
Release : 2012-04-02
Category : Technology & Engineering
ISBN : 1447129016

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Saturated Switching Systems by Abdellah Benzaouia Pdf

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.

Author : Zhengzhi Han,Xiushan Cai,Jun Huang
Publisher : Springer
Page : 344 pages
File Size : 52,5 Mb
Release : 2016-06-15
Category : Technology & Engineering
ISBN : 9783662492451

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Theory of Control Systems Described by Differential Inclusions by Zhengzhi Han,Xiushan Cai,Jun Huang Pdf

This book provides a brief introduction to the theory of finite dimensional differential inclusions, and deals in depth with control of three kinds of differential inclusion systems. The authors introduce the algebraic decomposition of convex processes, the stabilization of polytopic systems, and observations of Luré systems. They also introduce the elemental theory of finite dimensional differential inclusions, and the properties and designs of the control systems described by differential inclusions. Addressing the material with clarity and simplicity, the book includes recent research achievements and spans all concepts, concluding with a critical mathematical framework. This book is intended for researchers, teachers and postgraduate students in the area of automatic control engineering.

Author : Shuli Guo,Lina Han
Publisher : Springer
Page : 260 pages
File Size : 42,5 Mb
Release : 2018-04-12
Category : Technology & Engineering
ISBN : 9789811089084

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Stability and Control of Nonlinear Time-varying Systems by Shuli Guo,Lina Han Pdf

This book presents special systems derived from industrial models, including the complex saturation nonlinear functions and the delay nonlinear functions. It also presents typical methods, such as the classical Liapunov and Integral Inequalities methods. Providing constructive qualitative and stability conditions for linear systems with saturated inputs in both global and local contexts, it offers practitioners more concise model systems for modern saturation nonlinear techniques, which have the potential for future applications. This book is a valuable guide for researchers and graduate students in the fields of mathematics, control, and engineering.

Author : P. Tomas Larsson
Publisher : Unknown
Page : 322 pages
File Size : 49,7 Mb
Release : 1999
Category : Electronic
ISBN : UOM:39015042635048

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Controller Design for Linear Systems Subject to Actuator Saturation by P. Tomas Larsson Pdf

Author : James Lam,Yun Chen,Xingwen Liu,Xudong Zhao,Junfeng Zhang
Publisher : Springer
Page : 333 pages
File Size : 41,7 Mb
Release : 2019-01-12
Category : Technology & Engineering
ISBN : 9783030043278

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Positive Systems by James Lam,Yun Chen,Xingwen Liu,Xudong Zhao,Junfeng Zhang Pdf

This book presents high-quality original contributions on positive systems, including those with positivity in compartmental switched systems, Markovian jump systems, Boolean networks, interval observer design, fault detection, and delay systems. It comprises a selection of the best papers from POSTA 2018, the 6th International Conference on Positive Systems, which was held in Hangzhou, China, in August 2018. The POSTA conference series represents a targeted response to the growing need for research that reports on and critically discusses a wide range of topics concerning the theory and applications of positive systems. The book offers valuable insights for researchers in applied mathematics, control theory and their applications.

Author : Maria Letizia Corradini,Andrea Cristofaro,Fabio Giannoni,Giuseppe Orlando
Publisher : Springer Science & Business Media
Page : 146 pages
File Size : 55,9 Mb
Release : 2012-01-26
Category : Technology & Engineering
ISBN : 9781447125051

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Control Systems with Saturating Inputs by Maria Letizia Corradini,Andrea Cristofaro,Fabio Giannoni,Giuseppe Orlando Pdf

Saturation nonlinearities are ubiquitous in engineering systems: every physical actuator or sensor is subject to saturation owing to its maximum and minimum limits. Input saturation is an operating condition that is well known to the control community for its “side effects”, which cause conventional controllers to lose their closed-loop performance as well as control authority in stabilization. Therefore, the practical application of control theory cannot avoid taking into account saturation nonlinearities in actuators, explicitly dealing with constraints in control design.

Author : Ali Saberi,Anton A. Stoorvogel,Peddapullaiah Sannuti
Publisher : Springer Science & Business Media
Page : 846 pages
File Size : 52,9 Mb
Release : 2012-06-21
Category : Science
ISBN : 9780817647872

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Internal and External Stabilization of Linear Systems with Constraints by Ali Saberi,Anton A. Stoorvogel,Peddapullaiah Sannuti Pdf

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.

Author : Lyubomir T. Gruyitch
Publisher : CRC Press
Page : 326 pages
File Size : 48,7 Mb
Release : 2018-10-31
Category : Computers
ISBN : 9780429778520

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Observability and Controllability of General Linear Systems by Lyubomir T. Gruyitch Pdf

Observability and Controllability of General Linear Systems treats five different families of the linear systems, three of which are new. The book begins with the definition of time together with a brief description of its crucial properties. It presents further new results on matrices, on polynomial matrices, on matrix polynomials, on rational matrices, and on the new compact, simple and elegant calculus that enabled the generalization of the transfer function matrix concept and of the state concept, the proofs of the new necessary and sufficient observability and controllability conditions for all five classes of the studied systems. Features • Generalizes the state space concept and the complex domain fundamentals of the control systems unknown in previously published books by other authors. • Addresses the knowledge and ability necessary to overcome the crucial lacunae of the existing control theory and drawbacks of its applications. • Outlines new effective mathematical means for effective complete analysis and synthesis of the control systems. • Upgrades, completes and broadens the control theory related to the classical self-contained control concepts: observability and controllability. • Provides information necessary to create and teach advanced inherently upgraded control courses.