Direct state-space solution to the discrete-time H/sub infinity / one-block problem

Abstract

A general state-space representation is used to allow a complete formulation of the H/sub infinity / optimization problem without any invertibility condition on the system matrix, unlike existing solutions. A straightforward approach is used to solve the one-block H/sub infinity / optimization problem. The parameterization of all solutions to the discrete-time H/sub infinity / suboptimal one-block problem is first given in transfer function form in terms of a set of functions in H/sub infinity / that satisfy a norm bound. The parameterization of all solutions is also given as a linear fractional representation. >