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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Global Controllability of Affine Control Systems,e main purpose is to establish criteria for the controllability of nonlinear systems, which is similar to those for linear systems. Since controllability is a property of a set of vector fields, there is no essential difference between switched and non-switched systems as far as controllability is c

Interim

Stability and Stabilization,ontrol design the stability and stabilization become the first priority to be consider. This chapter considers the stability of dynamic systems and the stabilization and stabilizer design of nonlinear control systems. In Section 7.1 the concepts about stability of dynamic systems are presented. Sect

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Decoupling,f, g)- invariances. Quaker lemma is the foundation of the feedback decoupling of nonlinear systems [2]. The local disturbance decoupling problem is discussed in Section 8.2. In Section 8.3, the controlled invariant distribution is introduced. The problem of decomposition of the state equations is di

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Design of Center Manifold, firstly presented in [6]. Section 11.1 introduces some fundamental concepts and results about center manifold theory. Section 11.2 considers the case when the zero dynamics has minimum phase. A powerful tool, called the Lyapunov function with homogeneous derivative, is developed in Section 11.3. Se

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Output Regulation,es and/or asymptotically reject undesired disturbances. Meanwhile, the unforced closed-loop system is required to be asymptotically stable. For linear systems the internal model principle is a powerful tool to solve this problem. It is a central problem in control theory.

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,,-Gain Synthesis,s problem is usually called the nonlinear .. control problem. Section 14.1 discusses the .. norm and L.-gain. Then, the .. design problem is formulated in Section 14.2 and the design principle for linear systems is introduced. Section 14.3 focuses on the ..- gain synthesis problem for nonlinear syst