Fuzzy impulsive control of nonlinear systems based on Type-2 T-S
1.Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China; 2.Department of Mathematics, East China Normal University, Shanghai 200241, China; 3.Nantong Shipping College, Nantong, Jiangsu 226010, China
Abstract：A novel impulsive control strategy based on interval Type-2 T-S fuzzy model was proposed for nonlinear systems to make up for the drawback of Type-1 fuzzy impulsive control. Based on the “broad band” effect of the Type-2 membership functions, the noise of training data and exterior disturbance of Type-1 fuzzy impulsive control were solved by the proposed strategy. According to Lyapunov theory and Lipschitz condition, the Type-2 fuzzy impulsive controller was designed to obtain the general asymptotical stability analysis of the systems by integrated approaches of comparison method and linear matrix inequalities. The simulation of the inverted pendulum model can easily determine the membership functions with minimum fuzzy rules, which demonstrates that the proposed strategy is effective and resonable.
李医民, 孙源源, 赵彤. 基于Type-2 T-S的模糊脉冲控制[J]. 江苏大学学报（自然科学版）, 2012, 33(4): 491-496.
LI Yi-Min, SUN Yuan-Yuan, ZHAO Tong. Fuzzy impulsive control of nonlinear systems based on Type-2 T-S[J]. Journal of Jiangsu University(Natural Science Eidtion)
, 2012, 33(4): 491-496.
2012, Vol. 33 
