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Table of Contents
Preface; Acknowledgements; Contents; List of Figures; Abbreviations and Notations; Abbreviations; Notations; Introduction and Book Preview; 1 Preliminary Results; 1.1 Introduction; 1.2 Constrained Control; 1.2.1 Discrete-Time Systems; 1.2.2 Continuous-Time Systems; 1.3 Resolution of Equation XA+XBX=HX; 1.4 Constrained State and Control; 1.5 Positive Invariance for Non Autonomous Systems; 1.6 D-Positive Invariance; 1.7 Saturated Control; 1.8 Singular Systems; 1.9 Other Lemmas; 1.10 Conclusion; References; 2 Robust Constrained Linear Regulator Problem; 2.1 Introduction
2.2 Robust-Constrained Linear Control2.2.1 Problem Statement; 2.2.2 Design of Robust Controller; 2.3 Robust Control with Constrained State and Input; 2.3.1 Problem Statement; 2.3.2 Robust-Constrained Regulator Problem; 2.4 Examples; 2.5 Conclusion; References; 3 Constrained Control and Rate or Increment for Linear Systems; 3.1 Introduction; 3.2 Regulator Problem for Linear Systems #x83;; 3.2.1 Problem Statement; 3.2.2 Regulator with Constraints on Control and Its Rate or Increment; 3.3 Constrained Control and Rate or Increment #x83;; 3.3.1 Problem Statement
3.3.2 Controller Design with Constraints on Control and Rate with Disturbances3.3.3 The Maximal Disturbance Set; 3.4 Conclusion; References; 4 Regulator Problem for Singular Linear Systems with Constrained Control; 4.1 Introduction; 4.2 Regulation of Singular Linear System Under Constrained Control Magnitude and Rate; 4.2.1 Problem Formulation; 4.2.2 Positive Invariance for Singular Linear Systems; 4.2.3 Synthesis of the Constrained PD Controller; 4.2.4 System Augmentation Technique; 4.3 Extension to Non-singular Systems; 4.4 Conclusion; References; 5 Observer-Based Constrained Control
5.1 Introduction5.2 Observer-Based Constrained Control; 5.2.1 Problem Statement; 5.2.2 Observer-Based Controller Design; 5.2.3 Reduced-Order Observer-Based Constrained Control; 5.2.4 Reduced-Order Observer Framework; 5.3 Constrained Observer-Based Control for Singular Linear Systems; 5.3.1 Problem Formulation; 5.3.2 Observer-Based Constrained Control for Singular Systems; 5.4 Conclusion; References; 6 Constrained Control and Rate or Increment: An LMI Approach; 6.1 Introduction; 6.2 Problem Presentation; 6.3 Projection Technique; 6.4 Constrained Control Synthesis; 6.5 Conclusion; References
7 Output Feedback Stabilization for Constrained Control Systems7.1 Introduction; 7.2 Problem Formulation; 7.3 Output Feedback for Saturated Discrete-Time Linear Systems; 7.4 Output Feedback for Saturated Continuous-Time Linear Systems; 7.5 Conclusion; References; 8 Stabilization of Unsymmetrical Saturated Control Systems; 8.1 Introduction; 8.2 Stabilization by Unsymmetrical Constrained State Feedback #x83;; 8.2.1 Problem Formulation; 8.2.2 Symmetrization Technique; 8.2.3 Constrained Control for Discrete-Time Systems; 8.3 Stabilization by Unsymmetrical Constrained State Feedback #x83;
2.2 Robust-Constrained Linear Control2.2.1 Problem Statement; 2.2.2 Design of Robust Controller; 2.3 Robust Control with Constrained State and Input; 2.3.1 Problem Statement; 2.3.2 Robust-Constrained Regulator Problem; 2.4 Examples; 2.5 Conclusion; References; 3 Constrained Control and Rate or Increment for Linear Systems; 3.1 Introduction; 3.2 Regulator Problem for Linear Systems #x83;; 3.2.1 Problem Statement; 3.2.2 Regulator with Constraints on Control and Its Rate or Increment; 3.3 Constrained Control and Rate or Increment #x83;; 3.3.1 Problem Statement
3.3.2 Controller Design with Constraints on Control and Rate with Disturbances3.3.3 The Maximal Disturbance Set; 3.4 Conclusion; References; 4 Regulator Problem for Singular Linear Systems with Constrained Control; 4.1 Introduction; 4.2 Regulation of Singular Linear System Under Constrained Control Magnitude and Rate; 4.2.1 Problem Formulation; 4.2.2 Positive Invariance for Singular Linear Systems; 4.2.3 Synthesis of the Constrained PD Controller; 4.2.4 System Augmentation Technique; 4.3 Extension to Non-singular Systems; 4.4 Conclusion; References; 5 Observer-Based Constrained Control
5.1 Introduction5.2 Observer-Based Constrained Control; 5.2.1 Problem Statement; 5.2.2 Observer-Based Controller Design; 5.2.3 Reduced-Order Observer-Based Constrained Control; 5.2.4 Reduced-Order Observer Framework; 5.3 Constrained Observer-Based Control for Singular Linear Systems; 5.3.1 Problem Formulation; 5.3.2 Observer-Based Constrained Control for Singular Systems; 5.4 Conclusion; References; 6 Constrained Control and Rate or Increment: An LMI Approach; 6.1 Introduction; 6.2 Problem Presentation; 6.3 Projection Technique; 6.4 Constrained Control Synthesis; 6.5 Conclusion; References
7 Output Feedback Stabilization for Constrained Control Systems7.1 Introduction; 7.2 Problem Formulation; 7.3 Output Feedback for Saturated Discrete-Time Linear Systems; 7.4 Output Feedback for Saturated Continuous-Time Linear Systems; 7.5 Conclusion; References; 8 Stabilization of Unsymmetrical Saturated Control Systems; 8.1 Introduction; 8.2 Stabilization by Unsymmetrical Constrained State Feedback #x83;; 8.2.1 Problem Formulation; 8.2.2 Symmetrization Technique; 8.2.3 Constrained Control for Discrete-Time Systems; 8.3 Stabilization by Unsymmetrical Constrained State Feedback #x83;