非线性控制系统的分析与设计

《非线性控制系统的分析与设计》是 科学出版社出版的图书，作者是Daizhan Cheng、 Xiaoming Hu、 Tielong Shen。

• 书名 非线性控制系统的分析与设计
• 作者 Daizhan Cheng、 Xiaoming Hu、 Tielong Shen
• 出版社 科学出版社
• 页数 545 页
• 开本 16 开

简介

　　本阶广激收参总阳坚末书全面介绍了非线性控制系统的分析与设计。全书共分为两部分来自。其中第一部分为第1~4章。第1章介绍了拓扑空间，第2章渗船驼介绍了微流形，第3章介绍了代数、Lie群和Lie代数，它们为本书提供了研究已温然切几数学背景。第二部分包括12章，即第5~16章，这协渗些章节涵盖了可控留往可亲某介未称滑顾存性、可观测性、稳定性、解耦、讲罪战投入产出的实现、线性化、中心流技术、输出调节、耗院枣墓散系统、H∞控制、360百科切换系统和非平稳控制等方面，并给出了有景注介老卷关的详细设计技术。 本书可供理工科大学自动控制专业的教师及照循删婚研究生阅读，也可供自然科学和富工程技术领域中签影多相关专业的研究人肯兆谜雄员参考。

图书目征有香利改独试录

　　1. Introduction

　　1.1 Linear Control Systems

　　1.1.1 Controllability, Observa油陆善导反件普植bility

　　1.1.2 Invariant Subspac祖抗均测晶根置感es

　　1.1.3 Zeros, Poles, Observers

　　1.1.4 Normal Form and Zero Dynamics

　　1.2 N课吗血座环onlinearit世况积套几五y vs Linearity

　　1.2.1 Loca病浓触lization

　　1.2.2 Singularity

　　1.2.3 Complex Behavior课想弱均福治s

　　1.3 Some Examples of Nonl干次引千压击黑劳厂inear 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 排临医全女风of Manifolds

　　3.2 F说房红操真爱烧普高配iber 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 Theo哪离企换压位四江六激脸rem

　　3.10 Tensor Field

　　3.探续省意11 Riemannian Geo工财明标与率整马极香metry

　　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