This book presents a study on the novel concept of“event-triggered control of nonlinear systems subject to disturbances”, discussing the theory and practical applications. Richly illustrated, it is a valuable resource for researchers, engineers and graduate students in automation engineering who wish to learn the theories, technologies, and applications of event-triggered control of nonlinear systems.
目录 Part I Introduction and Preliminaries 1 Introduction 1.1 Event-Triggered Control Challenges for Nonlinear Systems 1.2 An Overview of This Book 2 Basic Stability and Small-Gain Tools for System Synthesis 2.1 Lyapunov Stability 2.2 Input-to-State Stability 2.2.1 Definition 2.2.2 ISS-Lyapunov Functions 2.3 Nonlinear Small-Gain Theorem 2.3.1 Trajectory-Based Small-Gain Theorem 2.3.2 Lyapunov-Based Small-Gain Theorem 2.4 Nonlinear Cyclic-Small-Gain Theorem 2.4.1 Continuous-Time Systems 2.4.2 Equivalence Between Cyclic-Small-Gain and Gains Less Than the Identity 2.5 Notes Part II Robust Event Triggers 3 A Small-Gain Paradigm for Event-Triggered Control 3.1 Problem Formulation 3.2 Lyapunov-Based Small-Gain Design of Event Triggers 3.3 Trajectory-Based Small-Gain Design of Event Triggers 3.4 Event/Self-Triggered Control in the Presence of External Disturb ances 3.4.1 Event Triggers with Positive Offsets 3.4.2 Self-Triggered Control 3.4.3 Trajectory-Based Formulation 3.5 Input-to-State Stabilization of Discrete-Time Nonlinear Systems 3.5.1 Problem Formulation 3.5.2 Event-Triggered Robust Stabilization 3.6 Notes 4 Dynamic Event Triggers 4.1 Dynamic Event Triggers with Partial-State Feedback 4.1.1 Problem Formulation 4.1.2 Design of a Dynamic Event Trigger 4.1.3 An Extension 4.2 An Application to Decentralized Event-Triggered Control 4.2.1 Problem Formulation 4.2.2 Design of Decentralized Event-Triggers 4.2.3 An Example: Decentralized Event-Triggered Control of a Class of First-Order Nonlinear Systems 4.2.4 The Linear Case 4.3 Notes 5 Event-Triggered Input-to-State Stabilization Robust Event-Triggered Control of Nonlinear Systems under a 5.1 Global Sector-Bound Condition 5.2 Robust Event-Triggered Control of Nonlinear Systems without a Global Sector-Bound Condition 5.3 Robustness Analysis in the Presence of Dynamic Uncertainties 5.3.1 Event Trigger Design 5.3.2 Small-Gain Synthesis: ISS of the Closed-Loop Event-Triggered System 5.3.3 A Special Case for Systems Under a Global Sector-Bound Condition 5.4 An Extension to Systems Subject to Both Dynamic Uncertainties and External Disturbances 5.5 Notes Part III Constructive Designs for Event-Triggered Control 6 Event-Triggered Control of Nonlinear Uncertain Systems in the Lower-Tri angular Form 6.1 Event-Triggered State-Feedback Control 6.1.1 Problem Formulation 6.1.2 Controller Design 6.1.3 Small-Gain Synthesis 6.2 Event-Triggered Control of Nonlinear Time-Delay Systems 6.2.1 Problem Formulation 6.2.2 Constructive Control Design with Set-Valued Maps 6.2.3 Main Result of Event-Triggered Stabilization 6.2.4 Extension to Systems with Distributed Time-Delays 6.3 Event-Triggered Output-Feedback Control 6.3.1 Problem Formulation 6.3.2 Observer-Based Output-Feedback Controller 6.3.3 ISS Property of the Subsystems 6.3.4 Event-Triggered Output-Feedback Control 6.4 Notes 7 Event-Triggered Control of Nonholonomic Svstems 7.1 Event-Triggered State Feedback Control of Uncertain Nonholo nomic Systems 7.1.1 Problem Formulation 7.1.2 Event-Triggered State-Feedback Controller 7.1.3 Main Result 7.1.4 A Brief Discussion on x (t)=0 7.2 Event-Triggered Output Feedback Control of Uncertain Nonholo nomic Systems 7.2.1 Problem Formulation 7.2.2 Event-Triggered Output-Feedback Controller 7.2.3 Main Result 7.3 Notes Appendix A Notions A.1 Lipschitz Continuity A.2 Comparison Functions A.3 Related Notions in Graph Theory Appendix B Technical Lemmas Appendix C
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