THE RELATION BETWEEN POLYTOPIC AND MULTIPLIER APPROACHES FOR ANTI - WINDUP CONTROL SYNTHESIS

This paper is concerned with regional stabilization: a domain of attraction for anti-windup control systems by a polytopic approach and a multiplier one respectively. In particular, the paper considers integrated stabilizing synthesis problems of dynamic output feedback controllers and anti-windup ones depending on the two approaches. The paper indicates that both synthesis problems can be recast as linear matrix inequality (LMI) optimization problems, where, for the synthesis, the outputs of the saturation elements are assumed to be available for the control. Finally, the paper clarifies the inclusion relation between the two synthesis conditions and systematical meanings of the conditions.