Finite-time input-to-state stability and optimization of switched systems

Author

Xiaoli, Wang ; Yiguang, Hong ; Zhongping, Jiang

Author_Institution

Key Lab. of Syst. & Control, Chinese Acad. of Sci., Beijing

fYear

2008

fDate

16-18 July 2008

Firstpage

479

Lastpage

483

Abstract

In this paper, we address finite-time input-to-state stability (ISS) problem for switched nonlinear systems. We first show the relationship between finite-time ISS and the finite-time ISS-Lyapunov function for switched systems. Then we prove that a switched nonlinear system is finite-time ISS under average dwell-time switching signals if each constituent subsystem is finite-time ISS. Moreover, we analyze the optimal costs for a class of switched finite-time stabilizing systems and for their relaxed differential inclusions, respectively.

Keywords

Lyapunov methods; cost optimal control; nonlinear control systems; optimisation; stability; time-varying systems; ISS; Lyapunov function; dwell-time switching signals; finite-time input-to-state stability; optimal costs; optimisation; switched nonlinear systems; Control systems; Cost function; Force control; Lyapunov method; Nonlinear control systems; Nonlinear systems; Optimal control; Stability; State feedback; Switched systems; Finite-time control; Input-to-state stability (ISS); Lyapunov function; Switched systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference, 2008. CCC 2008. 27th Chinese

Conference_Location

Kunming

Print_ISBN

978-7-900719-70-6

Electronic_ISBN

978-7-900719-70-6

Type

conf

DOI

10.1109/CHICC.2008.4605395

Filename

4605395