一类参数不确定T-S模糊系统的鲁棒控制及仿真

Robust Control and Simulation of a Class of T-S Fuzzy Systems with Parametric Uncertainties

针对一类具有参数不确定的T akag i-Sugeno(T-S)模糊系统,基于模糊区域的概念研究了其鲁棒控制问题。通过将不确定T-S模糊模型转换为不确定T-S模糊区域模型,并利用Lya-punov稳定性理论,导出了线性矩阵不等式(LM I)形式的鲁棒控制器设计方法。相对于传统设计方法,降低了采用线性矩阵不等式方法求解的难度,并具有良好的鲁棒性能。仿真结果验证了该方法的有效性。

This paper deals with the robust control problem for a class of uncertain Takagi-Sugeno （T- S） fuzzy systems. A robust controller design method based on the concept of fuzzy region for T-S fuzzy systems with parametric uncertainties is presented. The uncertain T-S fuzzy model is converted into uncertain T-S fuzzy region model. A relaxed sufficient condition is derived for robust stabilization by using Lyapunov function approach in the form of linear matrix inequalities （LMIs）. Compared with other similar design methods, the difficulty of solving LMIs is greatly reduced in this method and has a good robust stability. The efficiency of the method is illustrated through the simulation of a numerical uncertain fuzzy system.