CONTROL OF LINEAR-SYSTEMS UNDER STATE-CONTROL CONSTRAINTS

We investigate the controller design problem for linear systems in whi ch the state and the controls are subject to static linear constraints . We give necessary and sufficient conditions for the existence, and p resent a complete parametrization of all stabilizing controllers. This parametrization allows us to transform the constrained control proble m into a standard problem which can be solved using usual H-2 or H(inf inity) optimization methods. The approach is illustrated by a simple n umerical example showing the various steps of the proposed algorithm.