Finite-time stability and finite-time boundedness for switched systems with sector bounded nonlinearities

Author

Xiangze, Lin ; Chengxu, Lv ; Shihua, Li ; Yun, Zou

Author_Institution

College of Engineering, Nanjing Agricultural University/Jiangsu Key Laboratory for Intelligent Agricultural Equipment, Nanjing 210031, P. R. China

fYear

2015

fDate

28-30 July 2015

Firstpage

651

Lastpage

656

Abstract

A switched system with sector bounded nonlinearities is a precisely unified model to describe many kinds of practical systems. However, up to now, only Lyapunov asymptotically stability of the system has been discussed. Moreover, the existing results of stability analysis and controller design for this kind of systems are under some conservative assumptions. In this paper, finite-time stability and finite-time boundedness for switched systems with sector bounded nonlinearities are studied. Sufficient conditions which guarantee the systems finite-time stable or finite-time bounded are presented. These conditions are given in terms of linear matrix inequalities. Average dwell time of switching signals is also given such that the switched nonlinear systems are finite-time bounded or finite-time stable. Detail proofs are accomplished by using multiple Lyapunov-like functions.

Keywords

Asymptotic stability; Linear matrix inequalities; Nonlinear systems; Stability analysis; Switched systems; Switches; Trajectory; Finite-time Boundedness; Multiple Lyapunov-like Functions; Sector Bounded Nonlinearities; Switched Nonlinear Systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2015 34th Chinese

Conference_Location

Hangzhou, China

Type

conf

DOI

10.1109/ChiCC.2015.7259712

Filename

7259712