Delay-dependent stability analysis and $$\mathcal {H}_{\infty }$$H∞ control for LPV systems with parameter-varying state delays

This paper develops the stability analysis and delay-dependent $$\mathcal {H}_{\infty }$$H∞ control synthesis for linear parameter-varying (LPV) systems with time-varying state delays. On the basis of the Finsler’s lemma, sufficient conditions on $$\mathcal {H}_{\infty }$$H∞ performance analysis are formulated in terms of parameterized linear matrix inequalities. The interesting annihilator matrix is constituted by time-varying parameters of LPV systems to reduce the conservatism. A numerical example is presented to confirm the efficiency of the proposed method.

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