H∞ output tracking control for a class of switched LPV systems and its application to an aero‐engine model

Summary This paper aims to investigate the problem of H ∞ output tracking control for a class of switched linear parameter‐varying (LPV) systems. A sufficient condition ensuring the H ∞ output tracking performance for a switched LPV system is firstly presented in the format of linear matrix inequalities. Then, a set of parameter and mode‐dependent switching signals are designed, and a family of switched LPV controllers are developed via multiple parameter‐dependent Lyapunov functions to enhance control design flexibility. Even though the H ∞ output tracking control problem for each subsystem might be unsolvable, the problem for switched LPV systems is still solved by the designed controllers and the designed switching law. Finally, the effectiveness of the proposed control design scheme is illustrated by its application to an H ∞ speed adjustment problem of an aero‐engine.