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非线性控制系统的分析与设计（英文版）

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版次：
页数：545
字数：
印刷时间：
开本：16开
纸张：胶版纸
包装：平装
是否套装：否
国际标准书号ISBN：9787030259646

作者:本社主编出版社:科学出版社

内容简介

本书全面介绍了非线性控制系统的分析与设计。全书共分为两部分。其中第一部分为第1～4章。第1章介绍了拓扑空间，第2章介绍了微流形，第3章介绍了代数、Lie群和Lie代数，它们为本书提供了研究数学背景。第二部分包括12章，即第5～16章，这些章节涵盖了可控性、可观测性、稳定性、解耦、投入产出的实现、线性化、中心流技术、输出调节、耗散系统、H∞控制、切换系统和非平稳控制等方面，并给出了有关的详细设计技术。本书可供理工科大学自动控制专业的教师及研究生阅读，也可供自然科学和工程技术领域中相关专业的研究人员参考。

目　　录

1. Introduction
1.1 Linear Control Systems
1.1.1 Controllability, Observability
1.1.2 Invariant Subspaces
1.1.3 Zeros, Poles, Observers
1.1.4 Normal Form and Zero Dynamics
1.2 Nonlinearity vs Linearity
1.2.1 Localization
1.2.2 Singularity
1.2.3 Complex Behaviors
1.3 Some Examples of Nonlinear Control Systems
References
2. Topological Space
2.1 Metric Space

1. Introduction 1.1 Linear Control Systems 1.1.1 Controllability, Observability 1.1.2 Invariant Subspaces 1.1.3 Zeros, Poles, Observers 1.1.4 Normal Form and Zero Dynamics 1.2 Nonlinearity vs Linearity 1.2.1 Localization 1.2.2 Singularity 1.2.3 Complex Behaviors 1.3 Some Examples of Nonlinear Control Systems References 2. Topological Space 2.1 Metric Space 2.2 Topological Spaces 2.3 Continuous Mapping 2.4 Quotient Spaces References 3. Differentiab!e Manifold 3.1 Structure of Manifolds 3.2 Fiber Bundle 3.3 Vector Field 3.4 One Parameter Group 3.5 Lie Algebra of Vector Fields 3.6 Co-tangent Space 3.7 Lie Derivatives 3.8 Frobenius' Theory 3.9 Lie Series, Chow's Theorem 3.10 Tensor Field 3.11 Riemannian Geometry 3.12 Symplectic Geometry References 4. Algebra, Lie Group and Lie Algebra 4.1 Group 4.2 Ring and Algebra 4.3 Homotopy 4.4 Fundamental Group 4.5 Covering Space 4.6 Lie Group 4.7 Lie Algebra of Lie Group 4.8 Structure of Lie Algebra References 5. Controllability and Observability 5.1 Controllability of Nonlinear Systems 5.2 Observability of Nonlinear Systems 5.3 Kalman Decomposition References 6. Global Controllability of Affine Control Systems 6.1 From Linear to Nonlinear Systems 6.2 A Sufficient Condition 6.3 Multi-hierarchy Case 6.4 Codim = 1 References 7. Stability and Stabilization 7.1 Stability of Dynamic Systems 7.2 Stability in the Linear Approximation 7.3 The Direct Method of Lyapunov 7.3.1 Positive Definite Functions 7.3.2 Critical Stability 7.3.3 Instability 7.3.4 Asymptotic Stability 7.3.5 Total Stability 7.3.6 Global Stability 7.4 LaSalle's Invariance Principle 7.5 Converse Theorems to Lyapunov's Stability Theorems 7.5.1 Converse Theorems to Local Asymptotic Stability 7.5.2 Converse Theorem to Global Asymptotic Stability 7.6 Stability of Invariant Set 7.7 Input-Output Stability 7.7.1 Stability of Input-Output Mapping 7.7.2 The Lur'e Problem 7.7.3 Control Lyapunov Function 7.8 Region of Attraction References 8. Deeoupling 8.1 (f,g)-invariant Distribution 8.2 Local Disturbance Decoupling 8.3 Controlled Invariant Distribution 8.4 Block Decomposition 8.5 Feedback Decomposition References 9. Input-Output Structure 9.1 Decoupling Matrix 9.2 Morgan's Problem 9.3 Invertibility 9.4 Decoupling via Dynamic Feedback 9.5 Normal Form of Nonlinear Control Systems 9.6 Generalized Normal Form 9.7 Fliess Functional Expansion 9.8 Tracking via Fliess Functional Expansion References 10. Linearization of Nonlinear Systems 10.1 Poincare Linearization 10.2 Linear Equivalence of Nonlinear Systems 10.3 State Feedback Linearization 10.4 Linearization with Outputs 10.5 Global Linearization 10.6 Non-regular Feedback Linearization References 11 Design of Center Manifold 11.1 Center Manifold 11.2 Stabilization of Minimum Phase Systems 11.3 Lyapunov Function with Homogeneous Derivative 11.4 Stabilization of Systems with Zero Center 11.5 Stabilization of Systems with Oscillatory Center 11.6 Stabilization Using Generalized Normal Form 11.7 Advanced Design Techniques References 12 Output Regulation 12.1 Output Regulation of Linear Systems 12.2 Nonlinear Local Output Regulation 12.3 Robust Local Output Regulation References 13 Dissipative Systems 13.1 Dissipative Systems 13.2 Passivity Conditions 13.3 Passivity-based Control 13.4 Lagrange Systems 13.5 Hamiltonian Systems References 14 L2-Gain Synthesis 14.1 H∞ Norm and//2-Gain 14.2 H∞ Feedback Control Problem 14.3 L2-Gain Feedback Synthesis 14.4 Constructive Design Method 14.5 Applications References 15 Switched Systems 15.1 Common Quadratic Lyapunov Function 15.2 Quadratic Stabilization of Planar Switched Systems 15.3 Controllability of Switched Linear Systems 15.4 Controllability of Switched Bilinear Systems 15.5 LaSalle's Invariance Principle for Switched Systems 15.6 Consensus of Multi-Agent Systems 15.6.1 Two Dimensional Agent Model with a Leader 15.6.2 n Dimensional Agent Model without Lead References 16 Discontinuous Dynamical Systems 16.1 Introduction 16.2 Filippov Framework 16.2.1 Filippov Solution 16.2.2 Lyapunov Stability Criteria 16.3 Feedback Stabilization 16.3.1 Feedback Controller Design: Nominal Case 16.3.2 Robust Stabilization 16.4 Design Example of Mechanical Systems 16.4.1 PD Controlled Mechanical Systems 16.4.2 Stationary Set 16.4.3 Application Example References Appendix A Some Useful Theorems A.1 Sard's Theorem A.2 Rank Theorem References Appendix B Semi-Tensor Product of Matrices B.1 A Generalized Matrix Product B.2 Swap Matrix B.3 Some Properties of Semi-Tensor Product B.4 Matrix Form of Polynomials References Index

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