Optimal control (quadratic performance) for linear two-dimensional systems

Abstract

Consideration is given to Roesser's model of a two dimensional linear discrete-time system and the task of determining an optimal control for the minimization of a quadratic cost functional over a finite set. It is shown that the optimal control is given by a state feedback; the solution of a Riccati equation appears in the feedback operation. The control on an infinite set is also discussed.<>