Discontinuous Dynamical Systems

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 16 in Analysis and Design of Nonlinear Control Systems, 2010, pp 509-532 from Springer

Abstract: Abstract This chapter discusses analysis and design problems of discontinuous dynamic systems represented by differential equations with discontinuous right-hand side. After a brief review of discontinuous dynamic systems, which is summarized in Section 16.1, Filippov framework including solution and some analyzing tools for control system design is explained in Section 16.2. Furthermore, a feedback design problem is investigated in Section 16.3 for a class of nonlinear systems which have cascaded structure. Section 16.4 demonstrates an application example of stability analysis for PD controlled mechanical systems.

Keywords: Differential Inclusion; Position Response; Switching Surface; Static Friction Force; Filippov Solution (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-11550-9_16

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DOI: 10.1007/978-3-642-11550-9_16

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