Linear matrix inequality-based robust H∞ control of sampled-data systems with parametric uncertainties

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Linear matrix inequality-based robust H∞ control of sampled-data systems with parametric uncertainties

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The problem of robust H∞ controller design for sampled-data systems with time-varying norm-bounded parameter uncertainties in the state matrices is investigated. 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 in terms of linear matrix inequalities (LMIs) technique. 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.

Inspec keywords: uncertain systems; asymptotic stability; matrix algebra; closed loop systems; sampled data systems; linear matrix inequalities; robust control; time-varying systems; H∞ control

Other keywords: robust H∞ control; time-varying norm-bounded parameter uncertainties; linear matrix inequality-based; state matrices; closed-loop system; sampled-data systems; asymptotical stability

Subjects: Optimal control; Discrete control systems; Algebra; Stability in control theory; Time-varying control systems

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