The main contribution of this paper is a robust integrated design of ${\mathcal{H}}_{\infty }$ 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.

本文的主要贡献是强大的集成设计 ${\mathcal{H}}_{\infty }$比例-积分（PI）观测器和状态反馈控制器，用于不确定的线性参数变化（LPV）系统。在这种设计中，开发了故障估计和鲁棒的反馈稳定功能。而且，由于状态反馈控制器是从PI观察器派生的，因此可以将环路传输恢复（LTR）属性设计为最大化闭环性能。同时，PI观测器和控制器增益是从线性矩阵不等式（LMI）同时获得的，该线性不等式是根据估计误差，杨氏等式和主化引理的实现来推断的。最后，介绍了其在车辆悬架平台上的应用，以突出所开发方法的性能。