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Stabilisation and L2-gain analysis for a class of uncertain switched non-linear systems

Date

2009

Authors

Wang, Min
Zhao, Jun
Dimirovski, Georgi

Journal Title

Journal ISSN

Volume Title

Publisher

Taylor & Francis Group

Abstract

This article is concerned with the problem of stabilisation and L2-gain analysis for a class of switched non-linear systems with norm-bounded time-varying uncertainties. A system in this class is composed of two parts: an uncertain linear switched part and a non-linear part, which are also switched systems. When all the subsystems are stabilisable and have an L2-gain, the switched feedback control law and the switching law are designed respectively using average dwell-time method such that the corresponding closed-loop switched system is exponentially stable and achieves a weighted L2-gain.

Description

Keywords

Keywords: Average dwell-time method; Exponential stability; H-infinity control; L2-gain; Piecewise Lyapunov function; Switched non-linear cascade systems; Cascade control systems; Differential equations; Feedback; Linear systems; Lyapunov functions; Multivariable c Average dwell-time method; Exponential stability; H-infinity control; L2-gain; Piecewise Lyapunov function; Switched non-linear cascade systems; Switching systems

Citation

Source

International Journal of Systems Science

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

10.1080/00207720902974686

Restricted until

2037-12-31