Dissemin is shutting down on January 1st, 2025

Published in

Hindawi, Mathematical Problems in Engineering, (2013), p. 1-10

DOI: 10.1155/2013/515362

Links

Tools

Export citation

Search in Google Scholar

Stability and -Gain Control of Positive Switched Systems with Time-Varying Delays via Delta Operator Approach

Journal article published in 2013 by Shuo Li, Zhengrong Xiang ORCID, Hamid Reza Karimi ORCID
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

Full text: Download

Green circle
Preprint: archiving allowed
Green circle
Postprint: archiving allowed
Green circle
Published version: archiving allowed
Data provided by SHERPA/RoMEO

Abstract

This paper investigates the problems of stability and l 1 -gain controller design for positive switched systems with time-varying delays via delta operator approach. The purpose is to design a switching signal and a state feedback controller such that the resulting closed-loop system is exponentially stable with l 1 -gain performance. Based on the average dwell time approach, a sufficient condition for the existence of an l 1 -gain controller for the considered system is established by constructing an appropriate copositive type Lyapunov-Krasovskii functional in delta domain. Moreover, the obtained conditions can unify some previously suggested relevant methods in the literature of both continuous- and discrete-time systems into the delta operator framework. Finally, a numerical example is presented to explicitly demonstrate the effectiveness and feasibility of the proposed method.