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Titlebook: Analysis and Design of Nonlinear Control Systems; Daizhan Cheng,Xiaoming Hu,Tielong Shen Book 2010 Springer-Verlag Berlin Heidelberg 2010

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https://doi.org/10.1007/978-3-642-92097-4d in Section 14.2 and the design principle for linear systems is introduced. Section 14.3 focuses on the ..- gain synthesis problem for nonlinear systems. In Section 14.4, a constructive design approach is presented. Finally, some application examples are presented to illustrate the design techniques in Section 14.5.
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Algebra, Lie Group and Lie Algebra,gebra are introduced briefly in section 4.2. As a tool, homotopy is investigated in section 4.3. Sections 4.4 and 4.5 contain some primary knowledge about algebraic topology, such as fundamental group, covering space etc. In sections 4.6 and 4.7, Lie group and its Lie algebra are discussed. Section 4.8 considers the structure of Lie algebra.
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Controllability and Observability,related to their controllability [1, 3, 8]. The Kalman decomposition of nonlinear systems is investigated in section 5.3. This section is based on [2]. We refer to [6, 7] for decomposition of nonlinear control systems.
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Dissipative Systems,Based on these conditions, the controller design problem is investigated in Section 13.3. Finally, two classes of main dissipative systems, mainly Lagrange systems and Hamiltonian systems are studied in Section 13.4 and Section 13.5 respectively.
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,,-Gain Synthesis,d in Section 14.2 and the design principle for linear systems is introduced. Section 14.3 focuses on the ..- gain synthesis problem for nonlinear systems. In Section 14.4, a constructive design approach is presented. Finally, some application examples are presented to illustrate the design techniques in Section 14.5.
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