Local stabilization of linear systems with postition and rate bounded actuators

Abstract

Abstract The robust stabilization of uncertain systems subject to position and rate limited actuators is addressed. A local approach is chosen because no open-loop stability assumption is a priori considered. A saturating stabilizing control law and a guaranteed domain of stability arc derived from two design frameworks. The first one is based on the ARE-approach, while a second formulation via LMTs is described. The main strength of our methods is that the position and rate system inputs are allowed to saturate