Strict-Feedback Nonlinear Systems: Gain Control Design

✍ Scribed by Xianfu Zhang

• Publisher: Springer
• Year: 2023
• Tongue: English
• Leaves: 267
• Series: Intelligent Control and Learning Systems, 7
• Category: Library

✦ Synopsis

This book describes the research progress of the control design about strict-feedback nonlinear systems. A novel gain control design method is proposed, which greatly simplifies the construction procedure of controller for strict-feedback nonlinear systems. The control design problem of strict-feedback nonlinear systems is converted into the determination problem of gain parameters or the construction of dynamic gain equations. Therefore, the tedious iterative design procedure is effectively avoided. This book can be used as a reference for researchers in the field of control theory and engineers seeking advanced methods in practical control applications. 

✦ Table of Contents

Preface
Contents
Symbols
1 Introduction
1.1 A Brief History
1.2 Examples in Science and Engineering
1.3 Methods and Comparisons
1.3.1 The Backstepping Method
1.3.2 The Gain Design Method
1.3.3 Comparison of Methods
1.4 Fundamental Concepts
1.4.1 Related Definitions
1.4.2 Related Lemmas
References
2 Control Design of Nonlinear Systems with Constant Gain
2.1 Global Stabilization of a Class of Time-Delay Nonlinear Systems
2.1.1 Problem Formulation
2.1.2 State Feedback Controller
2.1.3 Output Feedback Controller
2.1.4 A Simulation Example
2.1.5 Conclusion
2.2 Disturbance Rejection Control for Systems with Quantized Input and Output
2.2.1 Problem Formulation
2.2.2 Disturbance Rejection Control Design
2.2.3 A Simulation Example
2.2.4 Conclusion
2.3 Feedback Stabilization Control for Fractional-Order Nonlinear Systems
2.3.1 Problem Formulation
2.3.2 State Feedback Controller
2.3.3 Output Feedback Controller
2.3.4 A Simulation Example
2.3.5 Conclusion
References
3 Finite Time Control of Nonlinear Systems with Time-Varying Gain
3.1 Finite Time Stabilization for Time-Varying Nonlinear Systems
3.1.1 Problem Formulation
3.1.2 Finite Time Stabilization via State Feedback Control
3.1.3 A Simulation Example
3.1.4 Conclusion
3.2 Feedback Stabilization of Nonlinear Systems in Any Prescribed Finite Time
3.2.1 Problem Formulation
3.2.2 Prescribed Finite Time Stabilization via State Feedback Control
3.2.3 Prescribed Finite Time Stabilization via Output Feedback Control
3.2.4 Simulation Examples
3.2.5 Conclusion
References
4 Event-Triggered Control of Nonlinear Systems with Functional Gain
4.1 Tracking Control for Nonlinear Systems via Output Feedback
4.1.1 Problem Formulation
4.1.2 Observer Design
4.1.3 Controller Design
4.1.4 Performance Analysis of Closed-Loop System
4.1.5 Simulation Examples
4.1.6 Conclusion
4.2 Output Feedback Control of Switched Systems with Input Saturation
4.2.1 Problem Formulation
4.2.2 Event-Triggered Mechanism and Saturation Controller Design
4.2.3 A Simulation Example
4.2.4 Conclusion
References
5 Control Design of Strict-Feedback Nonholonomic Systems
5.1 Sampled-Data Integral Control for Systems with Disturbances
5.1.1 Problem Formulation
5.1.2 State Feedback Regulation Controller Design
5.1.3 A Simulation Example
5.1.4 Conclusion
5.2 Output Feedback Control of Systems in Prescribed Finite Time
5.2.1 Problem Formulation
5.2.2 Regulation Controller Design for Systems with Constant Lipschitz Rate
5.2.3 Stabilization Controller Design for Systems with Time-Varying Lipschitz Rate
5.2.4 A Simulation Example
5.2.5 Conclusion
References
6 Output Feedback Control of Large-Scale Nonlinear Systems
6.1 Tracking Control of Time-Delay Systems with Input Saturation
6.1.1 Problem Formulation
6.1.2 Design of Adaptive Tracking Controller with Input Saturation
6.1.3 A Simulation Example
6.1.4 Conclusion
6.2 Event-Triggered Decentralized Control for Systems with Actuator Failures
6.2.1 Problem Formulation
6.2.2 Fault-Tolerance Event-Triggered Tracking Control Strategy
6.2.3 An Improved Decentralized Strategy of Systems with Disturbances
6.2.4 A Simulation Example
6.2.5 Conclusion
6.3 Decentralized Control of Systems with Unknown Measurement Sensitivities
6.3.1 Problem Formulation
6.3.2 Design of Decentralized Stabilizing Control Strategy
6.3.3 A Simulation Example
6.3.4 Conclusion
References
7 Distributed Control of Nonlinear Multi-agent Systems
7.1 Leader–Follower Consensus of Time-Varying Nonlinear Multi-agent Systems
7.1.1 Preliminaries and Problem Formulation
7.1.2 Output Feedback Consensus Protocol Design
7.1.3 A Simulation Example
7.1.4 Conclusion
7.2 Bipartite Consensus of Nonlinear Time-Delay Multi-agent Systems
7.2.1 Preliminaries and Problem Formulation
7.2.2 Bipartite Consensus Protocol Design
7.2.3 Simulation Examples
7.2.4 Conclusion
7.3 Prescribed-Time Regulation of Uncertain Nonlinear Multi-agent Systems
7.3.1 Preliminaries and Problem Formulation
7.3.2 Prescribed-Time Distributed Protocol Design
7.3.3 A Simulation Example
7.3.4 Conclusion
7.4 Event-Triggered Consensus Protocol for Nonlinear Multi-agent Systems
7.4.1 Preliminaries and Problem Formulation
7.4.2 Event-Triggered Output Feedback Protocol
7.4.3 Leader–Follower Consensus Analysis
7.4.4 The Extension of Event-Triggered Consensus Protocol
7.4.5 A Simulation Example
7.4.6 Conclusion
References