Control Systems with Actuator Saturation

"The book is very well written. The topics chosen are all fundamental control problems and are treated in depth. All the results presented in the book appear to be the authors' own recent research findings and, without doubt, represent a significant contribution to the important research topic of analysis and design for control systems with actuator saturation. The results included in the book, along with an extensive bibliography will prove to be an important resource for researchers in this area as well as researchers interested in entering this area...The book will prove equally valuable to practicing engineers. The results included in the book are applicable to general systems including strictly unstable ones. All optimization problems involved are convex and can readily and reliably be solved with the Matlab LMI Toolbox. Moreover, all the results are illustrated with fully worked out examples and simulation. In conclusion, the book will be a valuable addition to the libraries of both control theory researchers and control engineering practitioners." -International Journal of Robust and Nonlinear Control "The book reads very well. The results, along with an extensive bibliography will prove to be an important resource for researchers in this area as well as researchers interested in entering this area... It is also noted that many results developed in the book may have applications in the study of a class of recurrent artificial neural networks." -IEEE Transactions on Automatic Control

• Preface.- 1 Introduction.- 1.1 Linear Systems with Actuator Saturation.- 1.2 Notation, Acronyms, and Terminology.- 2 Null Controllability–Continuous-Time Systems.- 2.1 Introduction.- 2.2 Preliminaries and Definitions.- 2.3 General Description of Null Controllable Region.- 2.4 Systems with Only Real Eigenvalues.- 2.5 Systems with Complex Eigenvalues.- 2.6 Some Remarks on the Description of C(T).- 2.7 Asymptotically Null Controllable Region.- 2.8 Conclusions.- 3 Null Controllability–Discrete-Time Systems.- 3.1 Introduction.- 3.2 Preliminaries and Definitions.- 3.3 General Description of Null Controllable Region.- 3.4 Systems with Only Real Eigenvalues.- 3.5 Systems with Complex Eigenvalues.- 3.6 An Example.- 3.7 Asymptotically Null Controllable Region.- 3.8 Conclusions.- 4 Stabilization on Null Controllable Region -Continuous-Time Systems.- 4.1 Introduction.- 4.2 Domain of Attraction-Planar System under Saturated Linear Feedback.- 4.3 Semi-Global Stabilization-Planar Systems.- 4.4 Semi-Global Stabilization-Higher Order Systems.- 4.5 Conclusions.- 5 Stabilization on Null Controllable Region-Discrete-Time Systems.- 5.1 Introduction.- 5.2 Global Stabilization at Set of Equilibria-Planar Systems.- 5.3 Global Stabilization-Planar Systems.- 5.4 Semi-Global Stabilization-Planar Systems.- 5.5 Semi-Global Stabilization-Higher Order Systems.- 5.6 Conclusions.- 6 Practical Stabilization on Null Controllable Region.- 6.1 Introduction.- 6.2 Problem Statement and Main Results.- 6.3 Proof of Main Results.- 6.4 An Example.- 6.5 Conclusions.- 6.A Proof of Lemma 6 3 1.- 6.B Proof of Lemma 6 3 2.- 7 Estimation of the Domain of Attraction under Saturated Linear Feedback.- 7.1 Introduction.- 7.2 A Measure of Set Size.- 7.3 Some Facts about Convex Hulls.- 7.4 Continuous-Time Systems underState Feedback.- 7.5 Discrete-Time Systems under State Feedback.- 7.6 Extension to Output Feedback.- 7.7 Conclusions.- 8 On Enlarging the Domain of Attraction.- 8.1 Introduction.- 8.2 Continuous-Time Systems.- 8.3 Discrete-Time Systems.- 8.4 Conclusions.- 9 Semi-Global Stabilization with Guaranteed Regional Performance.- 9.1 Introduction.- 9.2 Expansion of the Domain of Attraction.- 9.3 Semi-Globalization–Discrete-Time Systems.- 9.4 Semi-Globalization – Continuous-Time Systems.- 9.5 An Example.- 9.6 Conclusions.- 10 Disturbance Rejection with Stability.- 10.1 Introduction.- 10.2 Continuous-Time Systems.- 10.3 Discrete-Time Systems.- 10.4 Conclusions.- 11 On Maximizing the Convergence Rate.- 11.1 Introduction.- 11.2 Continuous-Time Systems.- 11.3 Discrete-Time Systems.- 11.4 Conclusions.- 12 Output Regulation–Continuous-Time Systems.- 12.1 Introduction.- 12.2 Preliminaries and Problem Statement.- 12.3 The Regulatable Region.- 12.4 State Feedback Controllers.- 12.5 Error Feedback Controllers.- 12.6 An Example.- 12.7 Conclusions.- 13 Output Regulation–Discrete-Time Systems.- 13.1 Introduction.- 13.2 Preliminaries and Problem Statement.- 13.3 The Regulatable Region.- 13.4 State Feedback Controllers.- 13.5 Error Feedback Controllers.- 13.6 Conclusions.- 14 Linear Systems with Non-Actuator Saturation.- 14.1 Introduction.- 14.2 Planar Linear Systems under State Saturation-Continuous-Time Systems.- 14.3 Planar Linear Systems under State Saturation-Discrete-Time Systems.- 14.4 Semi-Global Stabilization of Linear Systems Subject to Sensor Saturation.- 14.5 Conclusions.