Robust H∞ proportional-integral observer-based controller for uncertain LPV system

( )The main contribution of this paper is a robust integrated design of H-infinity proportional - integral (PI) observer and state-feedback controller for uncertain linear parameter-varying (LPV) system. In this design, both fault estimation and robust feedback stabilization are developed. Moreover, since the state-feedback controller is derived from the PI observer, the loop transfer recovery (LTR) properties can be designed to maximize the closed-loop performance. Meanwhile, the PI observer and controller gains are simultaneously obtained from a linear matrix inequality (LMI), which is inferred from estimation errors, Young equality and majorization lemma implementation. Finally, its application to a vehicle suspension platform is presented to highlight the performances of the developed method. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.