导语

  

内容提要

  

    本书根据工程应用的理论发展和实际需要，系统地介绍了基于演算子理论的一类不确定非线性系统的鲁棒控制研究方法、各种设计策略、主要实现方法、计算机模拟验证技术及其在控制工程中的应用等内容。主要内容包括：带有未知扰动的非线性系统、具有未知干扰的非线性系统的稳定性分析、系统设计和鲁棒控制策略，其中针对具有未知干扰的非线性系统还给出了其敏感性分析和跟踪控制设计。本书内容融入了作者近年来大量的研究成果。
    本书可供控制理论与控制工程、交通信息工程及控制、工业自动化、电气自动化、机械工程等专业的研究人员、研究生及高年级本科生参考，也可供控制系统设计工程师等相关工程技术人员阅读和参考。

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