时滞网络控制系统的模糊控制及稳定性分析

摘要

This paper deals with the controller design problem of a networked control system with the networked-induced delay. A networked control system discrete model is designed, and a fuzzy stable controller based on parallel distributing compensation theory is proposed. The design method of membership function is presented. Lyapunov theorem and Linear Matrix Inequality method are used to derive the sufficient condition that guarantee the stability of networked control systems. A simulation example with Matlab demonstrates the effectiveness of the proposed method.%针对网络控制系统(Networked Control Systems,NCSs)中存在的时延问题,给出一种新的网络控制系统的建模方法--离散模糊T-S模型,利用此模型去逼近非线性网络控制系统,并在此模型的基础上应用平行分布补偿原理(Parallel Distributed Compensation,PDC)设计控制器.同时提出一种新的根据时延长短确定模糊控制系统隶属函数的方法,最后利用 Lyapunov 定理和线性矩阵不等式方法分析系统的稳定性,并通过实例仿真验证该控制方法的有效性.