Guaranteed cost repetitive control for uncertain discrete-time systems |
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Authors: | Wentao Chen Weidong Zhang |
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Affiliation: | (1) Department of Systems Engineering, King Fahd Univ. of Petroleum & Minerals, Dhahran, 31261, Saudi Arabia |
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Abstract: | This paper considers the problem of guaranteed cost repetitive control for uncertain discrete-time systems. The uncertainty in the system is assumed to be norm-bounded and time-varying. The objective is to develop a novel design method for the repetitive control systems by introducing a robust output feedback controller so that the closed-loop system is quadratically stable and a certain bound of performance index is guaranteed for all admissible uncertainties. Necessary and sufficient conditions for the existence of such controllers are derived in terms of linear matrix inequality (LMI). A suboptimal guaranteed cost controller is obtained by solving an optimization problem with LMI constraints. Finally, a simulation example is provided to illustrate the validity of the proposed method. |
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