Guaranteed cost control for switched LPV systems via parameter and state-dependent switching with dwell time and its application

This paper is concerned with the problem of guaranteed cost control for switched linear parameter‐varying (LPV) systems. A parameter and state‐dependent switching law with dwell time is designed. The guaranteed cost control problem for switched LPV systems is still solvable even though this problem for each subsystem is unsolvable. First, a sufficient condition ensuring the solvability of the guaranteed cost control problem for switched LPV systems is presented via multiple parameter‐dependent Lyapunov functions. Then, the parameter‐dependent controller is designed, such that the closed‐loop system is asymptotically stable with the guaranteed cost index. Finally, the effectiveness of the proposed control design scheme is illustrated by its application to an aero‐engine.