网络化控制系统连续动态输出反馈控制器设计

研究一类网络化控制系统的连续动态输出反馈控制器的设计问题.假设网络化控制系统的被控对象为一个定常时滞系统,其网络诱导时滞是随机的且小于一个采样周期的情况下,将此类网络化控制系统模型化为一个混合系统.然后采用李亚普诺夫函数、线性矩阵不等式的方法推导出了该网络化控制系统渐近稳定的充分条件.根据此充分条件,给定一个等式约束,然后通过求解一组线性矩阵不等式,获得了连续动态输出反馈镇定控制器.最后给出一个具体的数值和仿真实例说明了此设计方法是有效的.

Design of Continuously Dynamic Output Feedback Controller for Networked Control Systems

The problem of continuously dynamic output feedback stabilizing controllers for a class of networked control systems(NCS) was studied.We supposed that the network induced delay was random and less than the sampling period,the plan with a constant delay was modeled as a hybrid system.Then,the Lyapunov function,linear matrix inequality(LMI) methods were used to derive a sufficient condition,which could ensure that the NCS was asymptotically stable.Based on the sufficient condition and the consideration of an equality constraint,the continuously dynamic output feedback controller was easily constructed for solving linear matrix inequalities.The numerical and the simulation example were presented to demonstrate the effectiveness of the approach.