Stability And Stabilization Of Linear Systems With Saturating Actuators PDF Download
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Author | : Sophie Tarbouriech |
Publisher | : Springer Science & Business Media |
Total Pages | : 441 |
Release | : 2011-08-13 |
Genre | : Technology & Engineering |
ISBN | : 0857299417 |
Download Stability and Stabilization of Linear Systems with Saturating Actuators Book in PDF, ePub and Kindle
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 | : Ali Saberi |
Publisher | : Springer Science & Business Media |
Total Pages | : 846 |
Release | : 2012-06-21 |
Genre | : Science |
ISBN | : 0817647872 |
Download Internal and External Stabilization of Linear Systems with Constraints Book in PDF, ePub and Kindle
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 | : Tingshu Hu |
Publisher | : Springer Science & Business Media |
Total Pages | : 397 |
Release | : 2012-12-06 |
Genre | : Technology & Engineering |
ISBN | : 1461202051 |
Download Control Systems with Actuator Saturation Book in PDF, ePub and Kindle
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 | : Vasile Dragan |
Publisher | : Springer Science & Business Media |
Total Pages | : 320 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 1461215706 |
Download Stabilization of Linear Systems Book in PDF, ePub and Kindle
One of the main problems in control theory is the stabilization problem consisting of finding a feedback control law ensuring stability; when the linear approximation is considered, the nat ural problem is stabilization of a linear system by linear state feedback or by using a linear dynamic controller. This prob lem was intensively studied during the last decades and many important results have been obtained. The present monograph is based mainly on results obtained by the authors. It focuses on stabilization of systems with slow and fast motions, on stabilization procedures that use only poor information about the system (high-gain stabilization and adaptive stabilization), and also on discrete time implementa tion of the stabilizing procedures. These topics are important in many applications of stabilization theory. We hope that this monograph may illustrate the way in which mathematical theories do influence advanced technol ogy. This book is not intended to be a text book nor a guide for control-designers. In engineering practice, control-design is a very complex task in which stability is only one of the re quirements and many aspects and facets of the problem have to be taken into consideration. Even if we restrict ourselves to stabilization, the book does not provide just recipes, but it fo cuses more on the ideas lying behind the recipes. In short, this is not a book on control, but on some mathematics of control.
Author | : Ping Hou |
Publisher | : |
Total Pages | : 206 |
Release | : 1997 |
Genre | : Linear systems |
ISBN | : |
Download Simultaneous External and Internal Stabilization for Linear Systems Subject to Actuator Saturation Book in PDF, ePub and Kindle
Author | : Rajeeb Dey |
Publisher | : Springer |
Total Pages | : 280 |
Release | : 2017-11-24 |
Genre | : Technology & Engineering |
ISBN | : 3319701495 |
Download Stability and Stabilization of Linear and Fuzzy Time-Delay Systems Book in PDF, ePub and Kindle
This book provides a clear understanding in formulating stability analysis and state feedback control of retarded time delay systems using Lyapunov’s second method in an LMI framework. The chapters offer a clear overview of the evolution of stability analysis in terms of the construction of a Lyapunov functional and use of the integral inequalities in order to reduce the gap of delay upper bound estimate compared to frequency domain method through existing and proposed stability theorems. Power system engineering problem has been presented here to give readers fair idea on applicability of the model and method for solving engineering problems. Without deviating from the framework of analysis more complex dynamics of the system have been dealt with here that includes actuator saturation and thereby ascertaining local stability for an estimated time-delay and domain of attraction. Nonlinearity in a time-delay system has been dealt with in the T-S fuzzy modeling approach. This book is useful as a textbook for Master’s students and advanced researcher working in the field of control system engineering, and for practicing engineers dealing with such complex dynamical systems. The strengths of the book are lucidity of presentation, lucidity of solution method, MATLAB programs given in the appendix that help the novice researcher to carry out research in this area independently, clear idea about the formulation of desired stability and control problem in a LMI framework, application problem provided can motivate students and researcher to recast their problems in the similar framework easily, helpful for readers to use the stability (stabilization) conditions or formulate their own stability conditions easily for a complicated linear or nonlinear dynamical system.
Author | : Maria Letizia Corradini |
Publisher | : Springer Science & Business Media |
Total Pages | : 146 |
Release | : 2012-01-26 |
Genre | : Technology & Engineering |
ISBN | : 1447125053 |
Download Control Systems with Saturating Inputs Book in PDF, ePub and Kindle
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 | : Achilleas N. Pitsillides |
Publisher | : |
Total Pages | : 134 |
Release | : 2000 |
Genre | : |
ISBN | : |
Download Null Controllability and Stabilization of Linear Systems with Asymmetric Actuator Saturation Book in PDF, ePub and Kindle
Author | : Vikram Kapila |
Publisher | : CRC Press |
Total Pages | : 338 |
Release | : 2002-02-20 |
Genre | : Technology & Engineering |
ISBN | : 9780203910818 |
Download Actuator Saturation Control Book in PDF, ePub and Kindle
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 | : Yuanlong Li |
Publisher | : Birkhäuser |
Total Pages | : 374 |
Release | : 2017-11-28 |
Genre | : Science |
ISBN | : 3319642464 |
Download Stability and Performance of Control Systems with Actuator Saturation Book in PDF, ePub and Kindle
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.