一类非线性网络控制系统镇定的新方法

A New Approach to Stabilization of a Class of Nonlinear Networked Control Systems

研究了一类非线性网络控制系统(Networked control systems,NCSs)的镇定问题.在一般的网络环境中,通过平行分布补偿技术,将非线性NCS建模为包含一个稳定子系统和一个可能不稳定子系统的模糊时滞切换系统.利用分段Lyapunov泛函方法和平均驻留时间方法,得到了非线性NCS指数稳定的充分条件,并以线性矩阵不等式(Linear matrix inequality,LMI)形式给出了模糊控制器的设计方法.最后通过数值例子说明了所给方法的有效性.

This paper investigates the stabilization problem of a class of nonlinear networked control systems （NCSs）. In a general network environment, the nonlinear NCS is modeled as a fuzzy switched system with time-delay by the parallel distributed compensation technique, and such a system consists of a stable subsystem and a possible unstable subsystem. Using the piecewise Lyapunov function approach and the average dwell time method, a sufficient condition of the exponential stability for such a nonlinear NCS is obtained, and the fuzzy controller design method is presented in the linear matrix inequality （LMI） form. Finally, a numerical example illustrates the effectiveness of the proposed method.