Delay-dependent H2 control for discrete time-delay systems with D-stability constraints

This paper studies the problem of H2 control for a class of discrete time-delay systems with D-stability constraints. The corresponding su?cient conditions are given in terms of linear matrix inequalities. In particular, the conditions are delay-dependent, and so they are less conservative. The obtained controller can provide an upper bound for the H2 cost function. A numerical example is given to illustrate the proposed method.