基于T-S模糊模型的非线性时滞系统的H_∞滤波设计新方法

A New H_∞ filter design method for nonlinear systems based on T-S fuzzy model

基于T-S模糊模型研究了非线性时滞系统H∞滤波设计新方法.在该设计方案中,首先利用三重积分构造了新的Lyapunov-Krasovskii泛函,给出滤波器存在的充分条件,然后利用矩阵解耦和凸组合性质给出了滤波器参数矩阵设计方法,使得零初始条件下滤波误差系统是渐近稳定的且满足H∞性能指标.

A new design method of H∞ filter is proposed based on the T-S fuzzy model for nonlinear systems with time-delay.Firstly,the sufficient condition of the existence of H∞ filter is gived by adopting a new Lyapunov-Krasovskii function with triangle integral.Eventually,a new design method of H∞ filter is proposed by matrix decoupling and the convex combination.The method guarantees the filtering error system is not only asymptotically stable,but also satisfies H∞ performance index under zero initial condition.