Parameterizations of H∞ Controllers for Non-Standard Plants

Abstract The siandard H∞control problems has now been solved, in which some rank conditions are imposed on the plant data. These conditions are sometimes not satisfied in practical applications, and it is desirable to obtain general solutions to “non-siandard” problems which do not require these conditions. In this paper, we shall derive a parameterization of the H∞ controller for a non-standard two-block case which include the state feedback control law as a speial case.