Application Of Robust Control Via LMI Approach To The Thermal System

The uncertain linear continuous system is studied in this paper. Object and the controller with parameters varying are thought. And this research concentrated on the non-fragile H∞ Robust Control and the non-fragile guaranteed cost control by using the linear matrix inequality (LMI), based on Lyapunov steady theory. Firstly the H∞ control is investigated deeply on the base of analyzing the system robust performance. While the object and controller possess the time-varying but norm-bounded uncertainties, the sufficient and indispensable condition of the non-fragile H∞ controller of the linear continuous system are provided. At the same time, the design method of the H∞ state-feedback controller and the non-fragile H∞ state-feedback controller are given based on the LMI. Secondly the control problem about the state-feedback guaranteed cost and the non-fragile guaranteed cost grounding on the quadratic index function of the time-varying continuous system are studied...