T-S模糊时滞广义系统的滑模无源控制

Sliding Mode Passive Control for T-S Fuzzy Descriptor Systems With Time Delay

基于Takagi-Sugeno(T-S)模糊模型,研究了一类具有时滞项广义系统的滑模无源控制问题。首先,设计积分型滑模面并利用等效控制获得系统的滑动模态方程,分析开环系统的无源性,进而得到广义系统满足无源性的充分条件,并利用Linear Matrix Inequatility(LMI)工具箱求得增益矩阵;然后,为系统设计滑模控制器,并设计了新的趋近律,和传统趋近律相比,有效消除了抖振现象,保证系统可以在有限时间到达设计的滑模面;最后,利用Simulink进行仿真实验,得到的结果证明结论有效。

Based on Takagi-Sugeno(T-S)fuzzy model,the sliding mode passive control problem of a class of singular systems with time delay was studied.Firstly,the integral sliding mode surface was designed and the sliding mode equation of the system was obtained by equivalent control.The passivity of the open-loop system was analyzed,and a sufficient condition for the passivity of descriptor systems was obtained.The gain matrix was obtained by using the Linear Matrix Inequatility(LMI)toolbox.Then the sliding mode controller was designed for the system to ensure that the system can reach the predetermined sliding mode surface in limited time.Finally,simulation experiments were carried out through Simulink to verify the effectiveness of the conclusions.