Robust control for discrete-time singular large-scale systems with parameter uncertainty |
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| Authors: | Songlin Wo |
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| Institution: | Department of Automation, Nanjing Unversity of Science and Technology, 200 Xiao Ling Wei Street, Nanjing, Jiangsu 210094, PR China |
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| Abstract: | This paper addresses the problem of robust stabilization for uncertain discrete-time singular large-scale systems with parameter uncertainties. The system under consideration is not necessarily regular. The parameter uncertainties are assumed to be time invariant, but norm-bounded. The purpose of the robust stabilization problem is to design state feedback controllers such that, for all admissible uncertainties, the closed-loop system is regular, causal and stable. In terms of strict LMIs, sufficient conditions for the solvability of the problem is presented, and the parameterization of desired state feedback controllers is also given. A numerical example is given to demonstrate the applicability of the proposed design approach. |
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| Keywords: | Discrete-time systems Large-scale systems Linear matrix inequalities Parameter uncertainty Robust stabilization Singular systems |
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