Switching control for LPV polytopic systems using multiple Lyapunov functions

Abstract

In this paper, we study the switching control for a linear parameter varying (LPV) polytopic system using multiple Lyapunov functions to improve the system's performance. For the large range of parameter varying, we divide the parameter region into small subregions and find a suitable Lyapunov function for each parameter subregion. Under the average dwell time switching logic, a sufficient Linear Matrix inequality (LMI) condition is proposed to guarantee the performance. The proposed control scheme is applied to an active magnetic bearing system.