一类不确定时延网络控制系统的模糊控制

针对网络控制系统(NCS)同时存在网络诱导时延和数据包丢失的情况,讨论了如何设计控制器的问题。首先,给出了一种新的闭环网络控制系统的建模方法——模糊T-S方法,利用这种模糊模型去逼近非线性网络控制系统,使之局部线性化,并在此模型的基础上应用平行分布补偿原理设计了网络控制系统模糊控制器。进而,应用Lyapunov理论和LMI方法,研究了模糊NCS的稳定性问题,同时基于线性矩阵不等式给出依赖状态时滞和网络诱导时延的状态反馈模糊控制器的设计方法,并获得使模糊NCS稳定的充分条件。通过两个仿真实例验证了该控制方法的有效性。

Fuzzy control of a class of networked control systems with uncertain time-delay

This paper deals with the controller design problem of a networked control system with the presence of network-induced delay and transmitted data dropout.The Takagi-Sugeno(T-S) fuzzy model is adopted for representing networked control systems.And the fuzzy model is used to approximate the nonlinear NCS.Applying parallel distributed compensation principle,a new fuzzy controller of networked control system is designed.Based on a novel Lyapunov-Krasovskii functional and linear matrix inequality(LMI) technique,the sufficient condition for the networked control system(NCS) which is subject to the asymptotic stability is derived,and the method of the controller design is also given in terms of LMIs.Finally,two examples show effectiveness of the proposed method.