Robust H∞ filtering design for 2-D discrete-time linear systems described by FM model

This paper is concerned with the problem of robust ℋ
_∞
filtering for polytopic 2-D discrete-time systems described by the Fornasini-Marchesini model. By constructing a Lyapunov function variation and making use of novel techniques, a parameter-dependent approach is developed to the design of 2-D filters guaranteeing a prescribed ℋ
_∞
performance, with linear matrix inequality conditions obtained for the existence of admissible filters. The merit of the proposed approach lies in their reduced conservatism than some existing methods, which is shown via an numerical example.