基于演算子理论的不确定非线性系统的鲁棒控制(英文版)

本书通过对靠前外大量文献资料进行精心筛选与组织，结合作者近几年来的研究成果，较系统地研究了基于演算子理论的分解、设计、鲁棒稳定条件，不确定非线性系统的稳定性、鲁棒性、追踪性等问题以及一些实际应用成果。书中的内容绝大多数来源于作者近几年来的创新性研究成果，新颖实用，研究方法优选，具有重要的理论研究和实际应用价值。本书共分为九章。章论述了研究不确定非线性系统鲁棒控制的发展演化、研究意义及应用前景及本书的立足点。第二章介绍了相关的数学理论研究工具和基本知识等。第三章至第七章分别详细地介绍针对几类不确定非线性系统的鲁棒稳定控制方法，并比较现有文献中相关的结果，说明本书结论的优越性，这几章内容融入了编者的很新研究成果。第八和九章针对带有外部干扰的非线性系统，论述鲁棒控制、干扰抑制和跟踪设计控制方法，以及讨论不确定非线性系统的敏感性分析，并提出基于双线性算子非线性系统的鲁棒控制。

Preface
Chapter 1 Introduction
1.1 Background
1.1.1 Nonlinear Systems Analysis
1.1.2 Uncertain Nonlinear Control Methods
1.2 Why Operator-based Robust Nonlinear Control?
1.3 The Content of This Book
References
Chapter 2 Mathematical Preliminaries
2.1 Preliminaries in Spaces and Operators
2.1.1 Normed Spaces
2.1.2 Banach Space
2.1.3 Extended Linear Space
2.1.4 Lipschitz Operators
2.1.5 Generalized Lipschitz Operator
2.1.6 Causality for Generalized Lipschitz Operator
2.1.7 Unimodular Operator
2.2 Operator-based Coprime Factorization Method
2.2.1 Right Coprime Factorization
2.2.2 Robust Right Coprime Factorization
References
Chapter 3 Extended Robust Right Coprime Factorization for Uncertain Nonlinear Systems Control
3.1 Introduction
3.2 Operator-based Extended Right Coprime Factorization
3.2.1 L. Operator
3.2.2 An Example to Explain L. Operator
3.2.3 Extended Right Coprime Factorization
3.3 Robust Control for Uncertain Nonlinear Systems Using Extended Right Coprime Factorization
3.3.1 Problem Statement
3.3.2 Su±cient Robust Condition of Robust Stability
3.3.3 Simulation Example
3.4 Conclusion and Discussion
References
Chapter 4 Nonlinear Robust Control Using Adjoint Operator-based Right Coprime Factorization
4.1 Introduction
4.2 Factorization Design Scheme of Nonlinear Systems
4.2.1 Problem Statement
4.2.2 Adjoint Operator
4.2.3 Factorization Method Based on Adjoint Operator
4.2.4 Existence of Controllers
4.3 Adjoint Operator-based Robust Stability Analysis
4.3.1 An Example for Showing Necessity of Proposed Method
4.3.2 Robust Su±cient Conditions
4.4 Simulation Example
4.5 Conclusion
References
Chapter 5 Robust Stability Analysis of MIMO Uncertain Nonlinear System
5.1 Introduction
5.2 Problem Statement
5.3 Robust Control for MIMO Uncertain Nonlinear Systems
5.3.1 Decoupled Design Scheme
5.3.2 Robust Control Based on Unimodular Operator
5.4 Simulation Example
5.5 Conclusion
References
Chapter 6 Two Steps Robust Design Scheme for Uncertain Nonlinear Systems
6.1 Introduction
6.2 Stability Analysis
6.2.1 Problem Statement
6.2.2 Two Steps Factorized Realization
6.3 Robust Stability Analysis Based Two Steps Factorization
6.3.1 Case One: Known Bounded Perturbations
6.3.2 Case Two: Unknown Bounded Perturbations
6.4 Simulation Example
6.5 Conclusion
References
Chapter 7 Robust Control for Uncertain Nonlinear Systems by Rejection Method
7.1 Introduction
7.2 Operator-based Framework Design
7.2.1 Construction Analysis of Uncertain Nonlinear Systems
7.2.2 Robust Stability Analysis
7.3 Nonlinear Systems with Unknown Disturbances Rejection
7.3.1 Compensator Design Scheme
7.3.2 Rejection Method Analysis
7.4 Simulation Example
7.5 Conclusion
References
Chapter 8 Robust Control for Nonlinear Systems with External Disturbance
8.1 Introduction
8.2 Robust Control Analysis
8.2.1 Problem Statement
8.2.2 Three Cases of Robust Conditions
8.2.3 Illustrative Example
8.3 Output Tracking Design
8.3.1 Problem Statement
8.3.2 Admissible Controllers Analysis
8.3.3 Internal Perturbation and External Disturbance Rejection
8.4 Simulation Example
8.5 Conclusion
References
Chapter 9 Operator-based Sensitivity Analysis and Reset Robust Control of Uncertain Nonlinear Systems
9.1 Introduction
9.2 Bilinear Operator-based Nonlinear Robust Control
9.2.1 Problem Statement
9.2.2 Bilinear Operator
9.2.3 Robust Stability Control
9.3 Sensitivity Analysis
9.3.1 Sensitivity of Perturbed Systems
9.3.2 Tracking Design Scheme
9.3.3 Simulation Example
9.4 Reset Robust Control
9.4.1 Reset Robust Analysis
9.4.2 Simulation Example
9.5 Conclusion
References