H∞ control of a class of 2-D continuous switched delayed systems via state-dependent switching

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...

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Bibliographic Details
Published in:International journal of systems science 2016-01, Vol.47 (2), p.300-313
Main Authors: Ghous, Imran, Xiang, Zhengrong
Format: Article
Language:English
Subjects:
2-D systems
Roesser model
state feedback
switched systems
time-varying delay
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Summary: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.
ISSN:0020-7721
1464-5319
DOI:10.1080/00207721.2015.1068882