Static output feedback control of discrete-time piecewise affine singular systems
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(Space Control and Inertial Technology Research Center, Harbin Institute of Technology, 150080 Harbin, China)

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    Abstract:

    This paper investigates the robust admissibility analysis and static output feedback controller synthesis for a class of discrete-time piecewise affine singular systems. Based on the piecewise Lyapunov functions combined with Projection lemma and some basic lemmas,two novel approaches based on sufficient linear matrix inequality (LMI) conditions to the static output feedback controller synthesis are developed for the piecewise affine singular systems. It is shown that the controller gains can be obtained by solving a family of LMIs parameterized by scalar variables, which can not only ensure the stability of systems, but also guarantee the regularity and causality of systems. Finally, the applicability of the suggested methodologies is demonstrated via some simulation examples.

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  • Received:
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  • Online: April 04,2013
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