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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.
List of contents
Introduction.- Part I: Generalities.- Description of Systems Considered: Problem Statement.- Robust Stabilization under Control Constraints: An Overview.- Part II: Stability Analysis and Stabilization.- Analysis via the Use of Polytopic Models.- Synthesis via the Polytopic Model.- Analysis via the Use of Sector Nonlinearities Model.- Analysis via the Saturation Regions Model.- Part III: Anti-windup.- An Overview on Anti-windup Techniques.- Anti-windup Compensators Synthesis.- Appendices: Fundamental Properties on Stability Theory.- Fundamental Properties on Robust Control.- Mathematical Tools.
Summary
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.
Additional text
From the reviews:
“This monograph covers a wide range of topics in the problems of stability and stabilization for linear control systems in the presence of actuator saturation. … The book will be useful to researchers and graduate students in various areas of control applications concerning systems with saturation.” (Vladimir Sobolev, zbMATH, Vol. 1279, 2014)
“This nice book brings together the results of many years of research efforts by the authors and others about the control of linear systems with saturating actuators. … This book can be useful for students, researchers and control engineers facing practical problems.” (Paulo Sérgio Pereira da Silva, Mathematical Reviews, December, 2013)
Report
From the reviews:
"This monograph covers a wide range of topics in the problems of stability and stabilization for linear control systems in the presence of actuator saturation. ... The book will be useful to researchers and graduate students in various areas of control applications concerning systems with saturation." (Vladimir Sobolev, zbMATH, Vol. 1279, 2014)
"This nice book brings together the results of many years of research efforts by the authors and others about the control of linear systems with saturating actuators. ... This book can be useful for students, researchers and control engineers facing practical problems." (Paulo Sérgio Pereira da Silva, Mathematical Reviews, December, 2013)
