Stabilization control for LPV neutral time delay descriptor systems

Abstract

In the present work, the synthesis of stabilization method for neutral time delay LPV models systems is considered. In first time, a state feedback control is designed, aiming to develop a stabilization control strategy that maintains stability and desired performance in a closed-loop system. In this case, the LMI (Linear Matrix Inequality) analytical method used to determine the feedback gain of the controller. In second time and in the case of malfunction a fault diagnosis study is presented in this paper based on an Adaptive Polytopic Observer (APO). The numerical example shows the effectiveness of the obtained results.