Adaptive Sliding Mode Neural Network Control for Nonlinear Systems

Yang Li, Jianhua Zhang, Wu Qiong

• Publisher: Academic Press
• Year: 2018
• Print ISBN:
  9780128153727
• eBook ISBN:
  9780128154328
• Topic: Technology & Engineering
• Subtopic: Mechanical Engineering
• Index: Technology & Engineering

Adaptive Sliding Mode Neural Network Control for Nonlinear Systems introduces nonlinear systems basic knowledge, analysis and control methods, and applications in various fields. It offers instructive examples and simulations, along with the source codes, and provides the basic architecture of control science and engineering. - Introduces nonlinear systems' basic knowledge, analysis and control methods, along with applications in various fields - Offers instructive examples and simulations, including source codes - Provides the basic architecture of control science and engineering

Chapter 1

Basic Concepts

Abstract

In Chapter 1, first, it studies stability analysis, including Lyapunov stability, Lyapunov asymptotic stability robust stability, Lyapunov uniform asymptotic stability, Lyapunov global asymptotic stability, Lyapunov instability, positive definite unction, Lyapunov function, Lyapunov stability theorem, and Lyapunov global uniform asymptotic stability theorem. Second, it studies nonlinear design tools, including adaptive control, sliding mode control, and U-model method.

Keywords

Adaptive Control; Lyapunov Stability; Robust Stability; Sliding Mode Control; U-model Method

Chapter Outline

1. 1.1 Lyapunov Stability
   1. 1.1.1 Lyapunov Stability Theory
      1. 1.1.1.1 Introduction
      2. 1.1.1.2 Autonomous System
      3. 1.1.1.3 Equilibrium State
      4. 1.1.1.4 Lyapunov Stability
   2. 1.1.2 Lyapunov Asymptotic Stability
      1. 1.1.2.1 Definition of Lyapunov Asymptotic Stability
      2. 1.1.2.2 Example of Lyapunov Asymptotic Stability
   3. 1.1.3 Lyapunov Uniform Asymptotic Stability
      1. 1.1.3.1 Definition of Lyapunov Uniform Asymptotic Stability
      2. 1.1.3.2 The Relationship Between Lyapunov Asymptotic Stability and Lyapunov Uniform Asymptotic Stability
   4. 1.1.4 Lyapunov Global Asymptotic Stability
      1. 1.1.4.1 Definition of Lyapunov Global Asymptotic Stability
      2. 1.1.4.2 The Relationship Between Lyapunov Asymptotic Stability and Lyapunov Global Asymptotic Stability
   5. 1.1.5 Lyapunov Instability
      1. 1.1.5.1 The Geometric Interpretation of Definition of Lyapunov Instability
      2. 1.1.5.2 The Mathematical Descripti...

Table of contents

• Cover image
• Title page
• Table of Contents
• Copyright
• Author Biographies
• Preface
• Acknowledgments
• Introduction
• Chapter 1. Basic Concepts
• Chapter 2. Nonlinear Systems Analysis Approach
• Chapter 3. Classical Nonlinear Systems Control Methods
• Chapter 4. Advanced Nonlinear Systems Controller Design
• Chapter 5. Intelligent Methodology
• Chapter 6. Applications
• Index