Delay-dependent H∞ control for LPV systems with mixed time-varying delays

This paper focuses on the problem of H_∞ control for neutral linear parameter-varying systems with mixed time-varying delays. A delay-dependent bounded real lemma is described in terms of parameterized linear matrix inequalities. Based on the bounded real lemma obtained, sufficient conditions for the existence of H_∞ control are presented in terms of nonlinear matrix inequalities. To solve these nonlinear matrix inequalities, an iterative algorithm involving convex optimisation is proposed. Numerical example is provided to illustrate the applicability of the new theory.