An Improved Set Invariance Analysis and Gain-Scheduled Control of LPV Systems subject to Actuator Saturation

This paper studies the set invariance analysis and gain scheduled control for linear parameter-varying systems with actuator saturation. Based on a descriptor model transformation of the system, a less conservative condition is given which shows that the previous work is a special case of our main result. An LMI optimization procedure is proposed to obtain the optimal time-invariant state feedback controller and gain-scheduled controller. An example is carried out to illustrate the effectiveness of the results