Robust H∞ and H2 Static Output Feedback Control of Discrete-time Piecewise Affine Singular Systems with Norm-bounded Uncertainties
Mao Wang, Zhen-Hua Zhou, Tian-Tian Liang
(Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150080, China)
Abstract:
This paper is concerned with the problem of designing robust H∞ and H2 static output feedback controllers for a class of discrete-time piecewise-affine singular systems with norm-bounded time-varying parameters uncertainties. Based on a piecewise singular Lyapunov function combined with S-procedure, Projection lemma and some matrix inequality convexifying techniques, sufficient conditions in terms of linear matrix inequalities are given for the existence of an output-feedback controller for the discrete-time piecewise-affine singular systems with a prescribed H∞ disturbance attenuation level, and the H2 norm is smaller than a given positive number. It is shown that the controller gains can be obtained by solving a family of LMIs parameterized by one or two scalar variables. The numerical examples are given to illustrate the effectiveness of the proposed design methods.
Key words: piecewise affine singular systems parameter uncertainties piecewise singular Lyapunov function robust H∞ and H2 static output feedback control
DOI：10.11916/j.issn.1005-9113.2014.03.001
Clc Number:TP273
Fund:
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Robust H∞ and H2 Static Output Feedback Control of Discrete-time Piecewise Affine Singular Systems w
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