Robust H∞ controller design for sampled-data systems with parametric uncertainties |
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Authors: | Liu Fuchun Yao Yu & He Fenghua |
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Institution: | 1. Control and Simulation Center, Harbin Inst. of Technology, Harbin 150001, P. R. China;
2. Coll. of Automation Science and Engineering, South China Univ. of Technology,Guangzhou 510640, P. R. China |
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Abstract: | This article investigates the problem of robust H∞ controller design for sampled-data systems with time-varying norm-bounded parameter uncertainties in the state matrices. Attention is focused on the design of a causal sampled-data controller, which guarantees the asymptotical stability of the closed-loop system and reduces the effect of the disturbance input on the controlled output to a prescribed H∞ performance bound for all admissible uncertainties. Sufficient condition for the solvability of the problem is established in terms of linear matrix inequalities (LMIs). It is shown that the desired H∞ controller can be constructed by solving certain LMIs. An illustrative example is given to demonstrate the effectiveness of the proposed method. |
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Keywords: | H&infin control sampled-data systems uncertain systems linear matrix inequality |
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