Control Systems with Actuator Saturation

Author: Tingshu Hu
Publisher: Springer Science & Business Media
ISBN: 1461202051
Format: PDF, ePub, Mobi
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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.

Control Systems with Actuator Saturation

Author: Tingshu Hu
Publisher: Springer Science & Business Media
ISBN: 9780817642198
Format: PDF
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Every physical actuator is subject to saturation. When the actuator saturates, the performance of the control system designed will seriously deteriorate. Currently there is a surge of interest in increasing the practical applicability of control theory by incorporating the effect of saturation into the design of a control system. Control Systems with Actuator Saturation: Analysis and Designexamines the problem of actuator saturation in depth. The overall approach takes into account the saturation nonlinearities at the outset of the control design. In the case that a control law is designed a priori to meet either the performance or stability requirement, it analyzes the closed-loop system under actuator saturation systematically and redesigns the controller in such a way that the preformance is retained while stability is improved. It also presents some related results on systems with state saturation or sensor saturation. Features and topics: * Results apply to general open-loop systems, including exponentially unstable ones. Thus, they are widely applicable to practical systems * Problems such as controllability, stabilizability, transience performance, distribute rejection, and output regulation are treated in a systematic manner. * Analytic description of the null controllable region is first obtained. Various feedback laws are designed that work on the entire null controllable region or an arbitrarily large portion of it. * Analysis tools are developed for performance assessment of existing control systems under actuator saturation. * Examples are worked out in detail to demonstrate the usefulness of the results. This book is an excellent resource for professionals, researchers, practitioners and graduate students in control, electrical, and mechanical engineering. All scientists and engineers interested in control systems with actuator saturation will find this book an essential resource. Some first--year graduate courses in linear systems and multivariable control or some background in nonlinear control systems would greatly facilitate the reading of this book.

Actuator Saturation Control

Author: Vikram Kapila
Publisher: CRC Press
ISBN: 9780203910818
Format: PDF
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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 mechanical, electrical, and aerospace industries. Offering real-world solutions to manage system constraints, Actuator Saturation Control provides concise tutorials on recent breakthroughs in the field; novel procedures to achieve global stability, optimal performance, and dynamic anti-windup; practical strategies to model and predict actuator dynamics; effective methods to reduce system sensitivity to external disturbances; equations within the stochastic linearization framework for actuator saturation control; current approaches to ensure graceful performance degradation in the presence of saturation phenomena; linear parameter-varying (LPV) formulations of state and output feedback controllers, and a comprehensive survey of optimal windup and directionality compensation.

Handbook of Vehicle Suspension Control Systems

Author: Honghai Liu
Publisher: IET
ISBN: 1849196338
Format: PDF, ePub, Docs
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This book presents recent control theory and applications for vehicle suspension systems. From the systematic point of view, a vehicle control system is composed of key components such as modeling, sensing, controller, and actuator. It is not our intention to cover all the technical details of recent control-related contributions in the context of vehicle suspensions, but priority has been given to recently reported novel control methods and key challenges in the past decades. This book consists of 13 self-contained chapters covering recent theoretical developments and applications in active suspension systems.

Stability and Stabilization of Linear Systems with Saturating Actuators

Author: Sophie Tarbouriech
Publisher: Springer Science & Business Media
ISBN: 9780857299413
Format: PDF, Mobi
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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.

Modern Anti windup Synthesis

Author: Luca Zaccarian
Publisher: Princeton University Press
ISBN: 9781400839025
Format: PDF, ePub, Docs
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This book provides a wide variety of state-space--based numerical algorithms for the synthesis of feedback algorithms for linear systems with input saturation. Specifically, it addresses and solves the anti-windup problem, presenting the objectives and terminology of the problem, the mathematical tools behind anti-windup algorithms, and more than twenty algorithms for anti-windup synthesis, illustrated with examples. Luca Zaccarian and Andrew Teel's modern method--combining a state-space approach with algorithms generated by solving linear matrix inequalities--treats MIMO and SISO systems with equal ease. The book, aimed at control engineers as well as graduate students, ranges from very simple anti-windup construction to sophisticated anti-windup algorithms for nonlinear systems. Describes the fundamental objectives and principles behind anti-windup synthesis for control systems with actuator saturation Takes a modern, state-space approach to synthesis that applies to both SISO and MIMO systems Presents algorithms as linear matrix inequalities that can be readily solved with widely available software Explains mathematical concepts that motivate synthesis algorithms Uses nonlinear performance curves to quantify performance relative to disturbances of varying magnitudes Includes anti-windup algorithms for a class of Euler-Lagrange nonlinear systems Traces the history of anti-windup research through an extensive annotated bibliography

Stability and Performance of Control Systems with Actuator Saturation

Author: Yuanlong Li
Publisher: Birkhäuser
ISBN: 3319642464
Format: PDF
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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.

Advanced Strategies in Control Systems with Input and Output Constraints

Author: Sophie Tarbouriech
Publisher: Springer Science & Business Media
ISBN: 3540370102
Format: PDF, Docs
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Physical, safety and technological constraints suggest that control actuators can neither provide unlimited amplitude signals nor unlimited speed of reaction. The techniques described in this book are useful for industrial applications in aeronautical or space domains, and in the context of biological systems. Such methods are well suited for the development of tools that help engineers to solve analysis and synthesis problems of control systems with input and output constraints.

Analysis and Synthesis of Delta Operator Systems

Author: Hongjiu Yang
Publisher: Springer
ISBN: 3642287743
Format: PDF, ePub
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This book is devoted to analysis and design on delta operator systems. When sampling is fast, a dynamical system will become difficult to control, which can be seen in wide real world applications. Delta operator approach is very effective to deal with fast sampling systems. Moreover, it is easy to observe and analyze the control effect with different sampling periods in delta operator systems. The framework of this book has been carefully constructed for delta operator systems to handle sliding mode control, time delays, filter design, finite frequency and networked control. These problems indeed are especially important and significant in automation and control systems design. Through the clear framework of the book, readers can easily go through the learning process on delta operator systems via a precise and comfortable learning sequence. Following this enjoyable trail, readers will come out knowing how to use delta operator approach to deal with control problems under fast sampling case. This book should be a good reference for academies, post-graduates scientists and engineers working in the field of control science and control engineering.

Fuzzy Control Systems Design and Analysis

Author: Kazuo Tanaka
Publisher: John Wiley & Sons
ISBN: 0471465224
Format: PDF, ePub, Mobi
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A comprehensive treatment of model-based fuzzy control systems This volume offers full coverage of the systematic framework for the stability and design of nonlinear fuzzy control systems. Building on the Takagi-Sugeno fuzzy model, authors Tanaka and Wang address a number of important issues in fuzzy control systems, including stability analysis, systematic design procedures, incorporation of performance specifications, numerical implementations, and practical applications. Issues that have not been fully treated in existing texts, such as stability analysis, systematic design, and performance analysis, are crucial to the validity and applicability of fuzzy control methodology. Fuzzy Control Systems Design and Analysis addresses these issues in the framework of parallel distributed compensation, a controller structure devised in accordance with the fuzzy model. This balanced treatment features an overview of fuzzy control, modeling, and stability analysis, as well as a section on the use of linear matrix inequalities (LMI) as an approach to fuzzy design and control. It also covers advanced topics in model-based fuzzy control systems, including modeling and control of chaotic systems. Later sections offer practical examples in the form of detailed theoretical and experimental studies of fuzzy control in robotic systems and a discussion of future directions in the field. Fuzzy Control Systems Design and Analysis offers an advanced treatment of fuzzy control that makes a useful reference for researchers and a reliable text for advanced graduate students in the field.