A new design of robust H∞ filters for uncertain discrete-time state-delayed systems

This paper investigates the problem of H∞ stimation for discrete-time systems with a time-varying delay in the state and parameter uncertainties residing in a polytope. A new filter design procedure is proposed, which is developed based on homogeneous polynomially parameter-dependent matrices of an arbitrary degree. A numerical example is given to illustrate the effectiveness and advantage of the proposed filter design methods. © 2007 IEEE