Robust state feedback H∞ control for uncertain linear discrete singular systems

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Robust state feedback H∞ control for uncertain linear discrete singular systems

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A linear matrix inequality (LMI) approach to the robust state feedback H∞ control for linear discrete singular systems with norm-bounded uncertainty is developed. By taking the relationship between slow and fast subsystems of a discrete singular system, a new bounded real lemma is proposed that proves to be sufficient and necessary. On the basis of this, the result on robust H∞ performance is obtained. An explicit expression for the desired controllers is also given that involves no system decomposition. The obtained results are formulated in terms of strict LMIs. Illustrative examples are provided to demonstrate the effectiveness of the proposed approaches.

Inspec keywords: uncertain systems; robust control; state feedback; H∞ control; discrete systems; linear matrix inequalities; linear systems

Other keywords: linear discrete singular systems; robust state feedback H∞ control; linear matrix inequality; uncertain linear discrete singular systems; bounded real lemma; norm-bounded uncertainty

Subjects: Discrete control systems; Algebra; Optimal control; Stability in control theory

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