Static output‐feedback stabilization of discrete‐time linear parameter‐varying systems under actuator saturation

摘要: This paper introduces a novel local synthesis condition for gain‐scheduling static output‐feedback control of discrete‐time linear parameter‐varying (LPV) systems under actuator saturation and state constraints. The proposed condition is formulated as a set of parameter‐dependent linear matrix inequalities that are incorporated into a convex optimization procedure to provide an enlarged estimate of the region of attraction of the closed‐loop equilibrium. In contrast with related works, the proposed approach allows handling a wider class of LPV systems since no rank condition is required to employ the so‐called equality constraints.