Discrete-time H, Control: The One-Block Case

this paper, a new solution for the discrete time problem H, optiiuiil control probleni is given. A common assumption precluding poles at the origin which in many cases of practical interest does iiot hold is avoided. The generator of all solutions has a simple and direct expression in terms of the data of the pI'OlJklii. Tlie parametrization provides further insight into the prol,lein. by liiikiug our pure algebraic approach with the one- step operator tlieorctic procedure.