Passivity and passivity based controller design of a class of switched control systems

Document Type

Conference Proceeding

Publication Date

1-1-2005

Publication Title

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volume

16

First Page

676

Keywords

Lyapunov stability, Passivity, Switched control system

Last Page

681

Abstract

Notions of passivity for a class of switched control systems (SCS) are developed first in this article. We then study the following problems: 1) When is an SCS passive? 2) Does passivity imply Lyapunov stability as in the classical passive systems? 3) How to use passivity as a tool to design controllers to stabilize an SCS? For Problem 1), we derive sufficient conditions for passivity. For problem 2), we show that passivity does imply Lyapunov stability when u = 0, and the stability result obtained from positive semidefinite storage functions is new in switching systems. For the last problem, we first show that by designing the control law properly other than u = 0, stronger stability results can be obtained for a passive SCS. Then, based on this, we solve the stabilization problem of an SCS by making it passive first and then designing the control law for the passified SCS. Examples and simulations are given to support our results. Copyright © 2005 IFAC.

DOI

10.3182/20050703-6-cz-1902.00768

ISSN

14746670

ISBN

008045108X,9780080451084

Link to Full Text

Share

COinS