不确定系统的网络化保性能控制

本文针对控制网络中存在着随机传输时延和数据包丢失的现象,考虑了网络化控制系统的状态反馈保性能控制器设计问题.首先采用时滞相关方法并引入自由权矩阵,给出了基于矩阵不等式的网络化二次型保性能控制器存在的充分条件,然后基于该充分条件获得了基于线性矩阵不等式的控制器设计方法,相应的网络化保性能控制律可以通过求解线性矩阵不等式来构造,并采用锥互补线性化算法给出了网络化次优保性能控制器的设计方法.最后数值示例演示了所得控制器设计结果的应用方法和有效性,并通过仿真比较了传统保性能控制器和网络化保性能控制器在网络化控制系统中的控制性能.

Networked guaranteed cost control of uncertain systems

This paper is concerned with the problem of state-feedback guaranteed cost controller design for uncertain networked control systems with both network-induced delay and data dropout taken into consideration. First, the sufficient condition for the existence of the networked guaranteed quadratic cost controller is obtained in terms of matrix inequalities by employing the delay-dependent approach and introducing free weighting matrices. Then based on this sufficient condition, the controller design method is deduced in terms of linear matrix inequalities. The solution of the linear matrix inequalities can be used to construct the corresponding guaranteed cost control law. Furthermore the suboptimal networked guaranteed cost controller design method is obtained with cone complementarity linearization algorithm. Finally a numerical example demonstrates the application and effectiveness of the proposed controller design method. The control performance of the traditional guaranteed cost controller and the NCS are compared by simulations.