基于Type-2 T-S的模糊脉冲控制

利用Type-2模糊系统在描述复杂非线性系统诸多不确定性问题时的有效性,在Type-1模糊脉冲控制的基础上,提出了区间Type-2 T-S模糊脉冲控制方法.该方法利用Type-2模糊隶属函数的“宽带”效应,解决了Type-1模糊脉冲控制中数据噪声和外界扰动问题;利用Lyapunov理论和Lipschitz条件,通过运用比较方法和线性矩阵不等式等综合方法,设计Type-2 T-S模糊脉冲控制器,给出系统的渐进稳定性分析;最后,在倒立摆系统的仿真中,较方便地确定了隶属函数并选取了较少的模糊规则,表明系统的有效性和优异性.

Fuzzy impulsive control of nonlinear systems based on Type-2 T-S

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.