Reduced-order robust H∞ filtering for linear parameter varying systems

In this paper, we address the robust reduced-order filtering problem for linear parameter-varying (LPV) systems using an H∞-setting. The stability and the performance in a L2-gain sense of the filtering error is based on the existence of an affine parameter-dependent Lyapunov function. Our synthesis method gives sufficient conditions for the filter design which are expressed as new easily tractable LMI feasibility conditions with equality constraints. A numerical example illustrates the applicability of our method.