Robust H-infinity filtering for a class of linear parameter-varying systems

In this paper, we investigate the problem of H-infinity filtering for a cla ss of linear parameter-varying (LPV) systems in which the state-space matri ces depend affinely on time-varying parameters. We employ the notion of aff ine quadratic stability using parameter-dependent Lyapunov functionals. We develop a linear parameter-dependent filter such that the estimation error is affinely quadratically stable with a prescribed performance measure. It is established that the solvability conditions can be expressed by linear m atrix inequalities which are then evaluated at the extreme points of the ad missible parameter set. Simulation results of a typical example are present ed.