离散时滞网络控制系统的镇定研究

Analysis and Design of Discrete Networked Control Systems with Time-Variable Delay Based on Switched Method

研究一类同时存在系统时变时滞和网络随机时滞的网络控制系统的稳定性问题。首先采用切换方法描述离散线性系统的时变时滞,而利用马尔可夫链描述网络随机时滞;其次,基于线性矩阵不等式形式和V-K迭代算法给出该系统的稳定性判据和控制器设计算法;最后通过仿真实例验证了该方法的有效性和可行性。

For a class of networked control systems own both time-variable delay and networked stochastic time delay, the problem of stabilization was discussed in this paper. Firstly, the time-vary delay of discrete linear systems was described using switched method and networked stochastic time delay was ex- pressed using markov chains. Then, stability criterion and designing algorithms of controllers were given based on linear matrix inequalities and V-K iterative algorithm. Finally, numerical examples and simulations show the effectiveness and the feasibility of the developed method.