自适应事件触发网络化非线性系统滤波器设计

Filter design of networked nonlinear systems with adaptive event trigger

本文针对网络化非线性控制系统设计了基于自适应事件触发方案满足H_(∞)性能的模糊滤波器.第一,提出新的自适应事件触发方案来决定数据包是否需要传输到通信网络中,从而提高网络资源利用率;第二,运用模糊线积分的方法,构建模糊李雅普诺夫泛函,避免求解隶属函数的时间微分;第三,利用Wirtinger不等式及倒凸引理结合的技术,得到滤波误差系统满足H_(∞)性能的充分条件;第四,将滤波误差系统建模为时滞系统,在此框架下,实现自适应事件触发参数与滤波参数共同设计.最后,通过两个数值例子验证本文所提方法的有效性.

This paper designs a fuzzy filter based on adaptive event triggering scheme to satisfy H_(∞)performance for networked nonlinear control systems. Firstly, a new adaptive event triggering scheme is proposed to determine whether data packets need to be transmitted to the communication network, thereby improving network resource utilization;Secondly,the method of fuzzy line integration is used to construct a fuzzy Lyapunov function to avoid solving the time differentiation of membership functions;Thirdly, the technique of combining Wirtinger’s inequality and reciprocally convex lemma is adopted to obtain sufficient conditions for the filter error system to satisfy H_(∞) performance;Fourthly, the filtering error system is modeled as a time-delay system, and under this framework, the adaptive event trigger parameters and the filtering parameters are codesigned. Finally, the effectiveness of the proposed method is verified by two numerical examples.