Decoupling

Daizhan Cheng (), Xiaoming Hu () and Tielong Shen ()
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Daizhan Cheng: Chinese Academy of Sciences, Academy of Mathematics & Systems Science
Xiaoming Hu: Royal Institute of Technology, Optimization and Systems Theory
Tielong Shen: Sophia University, Department of Engineering and Applied Sciences

Chapter Chapter 8 in Analysis and Design of Nonlinear Control Systems, 2010, pp 207-235 from Springer

Abstract: Abstract Section 8.1 considers the (f, g)-invariant distribution of a nonlinear system. Quaker lemma is proved, which assures the equivalence between two kinds of (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 discussed in Section 8.4 and Section 8.5. In Section 8.4 only a coordinate change is used, while in Section 8.5 a state feedback control is also used. We refer to [3, 5] for feedback decomposition. More details can be found in their books [2, 4].

Keywords: Jacobi Identity; Open Dense Subset; Invariant Distribution; Nonlinear Control System; Coordinate Chart (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/978-3-642-11550-9_8

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