基于LMI方法的一类非线性模糊脉冲系统的鲁棒模糊控制

Robust Fuzzy Control of Nonlinear Fuzzy Impulsive Systems via LMI Technique

通过推广一般T-S模糊模型定义了一类非线性模糊脉冲系统。基于线性矩阵不等式(LMI)方法提出了一种鲁棒模糊控制新方案。采用并行分布补偿(PDC)的基本思想设计状态反馈控制器,并利用Lyapunov方法理论证明闭环系统全局指数稳定。最后基于LMI方法,将鲁棒模糊控制器的设计问题转化为线性矩阵不等式问题(LMIP)。仿真表明本方法的有效性。

This paper defines a class of nonlinear fuzzy impulsive systems by extending the ordinary T-S fuzzy model. A new scheme of robust fuzzy control via linear matrix inequality （LMI） technique is proposed. The concept of parallel distributed compensation （PDC） is employed to design the state feedback controller. By Lyapunov method, the resulting closed-loop system is shown to be globally exponential stable. By LMI technique, the problem of designing the robust fuzzy controller is translated into linear matrix inequality problem （LMIP）. Simulation shows the effectiveness of the proposed controller design methodology.