Delay-dependent exponential stabilization of positive 2D switched state-delayed systems in the Roesser model

This paper deals with the controller synthesis for a class of positive two-dimensional (2D) switched delay systems described by the Roesser model. This kind of systems has the property that the states take nonnegative values whenever the initial boundaries are nonnegative, some delay-dependent suffi...

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Bibliographic Details
Published in:Information sciences 2014-07, Vol.272, p.173-184
Main Authors: Duan, Zhaoxia, Xiang, Zhengrong, Karimi, Hamid Reza
Format: Article
Language:English
Subjects:
2D system
Boundaries
Control systems
Delay
Design engineering
Exponential stability
Mathematical models
Positive switched system
Stability
Stabilization
State feedback
Time delay
Two dimensional
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Summary:This paper deals with the controller synthesis for a class of positive two-dimensional (2D) switched delay systems described by the Roesser model. This kind of systems has the property that the states take nonnegative values whenever the initial boundaries are nonnegative, some delay-dependent sufficient conditions for the exponential stability of positive 2D switched systems with state delays are given. Furthermore, the design of positive state feedback controller under which the resulting closed-loop system meets the requirements of positivity and exponential stability is presented in terms of linear matrix inequalities (LMIs). An example is included to illustrate the effectiveness of the proposed approach.
ISSN:0020-0255
1872-6291
DOI:10.1016/j.ins.2014.02.121