Robust H∞ Control for Uncertain T-S Fuzzy Systems with Delays

REN Wei-jian1，HUANG Li-jie1，SUN Hui2，ZHU Yong-bo3，DONG Hai-chao4
（1.School of Electrical Engineering and Information，Northeast Petroleum University，Daqing 163318，China；2.Natural Gas Branch Company of Daqing Oilfield Co.，Ltd.，Daqing 163318，China；3.Instrument Workshop of Thermo?鄄electric Plant，Daqing Branch Company of PetroChina，Daqing 163714，China；4.Petroleum Production Engineering Research Institute of Daqing Oilfield Co.，Ltd.，Daqing 163453，China）
Abstract：Problem of robust H∞ control for a class of T?鄄S fuzzy control systems with interval time-varying delays is studied in this paper.Integral inequalities are proposed to deal with some integral items in the derivation of the stability criteria，an Lyapunov?鄄Krasovskii functional is constructed by including both the lower and upper bounds of the interval time?鄄varying delays，more strict boundary inequality technique is adopted，some less conservative stability criteria are obtained，on the basis of the stability conditions，the state feedback controller is designed. And the introduction of the integral inequality，to reduce the complexity of calculation，then the developed criteria not only theoretically improve some existing results，but also have higher computational efficiency.Numerical examples are given to demonstrate the effectiveness of the proposed approach.
Key words：T?鄄S fuzzy control systems；stability；robust H∞ control；interval time?鄄varying delays