Robust H∞ control for uncertain discrete-time state-delayed linear systems with Markovian jumping parameters

This paper addresses the problem of robust H-infinity state-feedback control design for uncertain discrete-time linear systems with multiple time delays at the states and Markovian jumping parameters. The jumping parameters are assumed to be available and the uncertainties are supposed to belong to convex bounded domains (polytope type uncertainty). Delay-independent sufficient conditions assuring robust stochastic stability and a prescribed H-infinity disturbance attenuation for the closed-loop uncertain discrete-time linear system with multiple time delays and Markovian jumping parameters are established in terms of linear matrix inequalities, which have the advantage that can be implemented numerically very efficiently. Copyright (C) 2001 IFAC.