H∞ control of a class of 2-D continuous switched delayed systems via state-dependent switching. Issue 2 (25th January 2016)

• Record Type: Journal Article
• Authors: Ghous, Imran; Xiang, Zhengrong
• Is Part Of: International journal of systems science. Volume 47:Issue 2(2016)
• Page Start: 300
• Page End: 313
• Publication Date: 2016-01-25
• Subjects: Roesser model -- 2-D systems -- switched systems -- state feedback -- H∞ performance -- time-varying delay; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2015.1068882
• Languages: English
• ISSNs: 0020-7721

Abstract

Abstract : This paper addresses the problem of state feedback H ∞ stabilisation of 2-D (two-dimensional) continuous switched state delayed systems represented by the Roesser model using the multiple Lyapunov functional approach. First, an asymptotical stability condition of 2-D continuous switched systems with state-dependent switching is derived. Second, a sufficient condition for H ∞ performance of the underlying system is established. Third, a state feedback controller is proposed to ensure that the resulting closed-loop system has a prescribed H ∞ performance level under a state-dependent switching signal. All the results are developed in terms of linear matrix inequalities. Finally, three examples are provided to demonstrate the validity and effectiveness of the proposed method.