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Design of Robust Guaranteed Cost State Feedback Controller for Uncertain Discrete-time Singular Systems using LMI  

Kim, Jong-Hae (선문대학교 전자공학부)
Publication Information
The Transactions of The Korean Institute of Electrical Engineers / v.57, no.8, 2008 , pp. 1429-1433 More about this Journal
Abstract
In this paper, we consider the design method of robust guaranteed cost controller for discrete-time singular systems with norm-bounded time-varying parameter uncertainty. In order to get the optimum(minimum) value of guaranteed cost, an optimization problem is given by linear matrix inequality (LMI) approach. The sufficient condition for the existence of controller and the upper bound of guaranteed cost function are proposed in terms of strict LMIs without decompositions of system matrices. Numerical examples are provided to show the validity of the presented method.
Keywords
Discrete-time singular systems; Guaranteed cost control; Parameter uncertainty; LMI;
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