Output feedback robust stabilization of uncertain linear systems with saturating controls: An LMI approach

The problem of robust controller design is addressed for an uncertain linea r system subject to control saturation. No assumption is made concerning op en-loop stability, and no a priori information is available regarding the d omain of stability. A saturating linear output feedback law and a safe set of initial renditions are determined using a heuristic based on iterative L MI relaxation procedures. A readily implementable algorithm based on standa rd numerical techniques is described and illustrated on two numerical examp les.