非线性时延网络控制系统的模糊建模与控制

Fuzzy Model and Control for Nonlinear Networked Control Systems with Delay

针对时变网络诱导时延小于一个采样周期的非线性时延网络控制系统,讨论系统的稳定性及控制器的设计方法。利用基于“IF-THEN”规则的模糊模型近似系统中的非线性, 将时延的不确定性转化为系统参数的不确定性,从而将此类非线性网络控制系统建模为一类具有参数不确定性的离散Takagi-Sugeno(T-S)模糊模型。基于建立的模型,利用Lyapunov方法和线性矩阵不等式方法,分析了系统的稳定性及模糊状态反馈控制器的设计方法,最后通过仿真实例验证了所提出方法的有效性。

To the nonlinear networked control systems （NCS）in which network-induced delay is time-vary and less than one sample time, the stability and controller design method are discussed. A fuzzy model based on ＂W-THEN＂ rules is used to approximate the nonlinear in the NCS and the uncertainty of the delay is transformed to parametrical uncertainties.Then a T-S fuzzy model with uncertainties is given to approximate such nonlinear NCSs. Based on the common Lyapunov function and linear matrix inequality （LMI）,the sufficient condition for the NCSs which is subject to the asymptotic stability is derived, and the method of the controller design is also given in terms of a group of LMIs. Finally, an example shows effectiveness of the proposed method.