区间化随机时延的网络控制系统建模与控制  

Modeling and Control of Networked Control Systems with Partitioned Random Delay

作　　者：刘义才[1,2] 刘斌 石安伟[1] 

机构地区：[1]武汉科技大学信息科学与工程学院,武汉430081 [2]武汉商学院机电工程与汽车服务学院,武汉430056

出　　处：《系统仿真学报》2018年第2期654-663,共10页Journal of System Simulation

基　　金：国家自然科学基金(61104027)

摘　　要：针对一类带有从传感器到控制器和控制器到执行器的双边随机时延的网络控制系统,首先通过将最大可能的时延值划分为多个等分区间,然后根据时延在各个区间的跳变特性将其描述为一个基于有限状态Markov链的随机过程,并建立了网络控制系统的参数不确定性离散时间跳变模型;同时考虑了在Markov链转移概率矩阵中的部分元素未知的条件下,基于Lyapunov稳定性理论并采用随机理论的分析方法,设计了满足系统稳定性要求的时变控制器。最后通过数值算例仿真验证了该方法的有效性。As for a class of networked control systems which have the bilateral random delay of sensor-to- controller and controller-to-actuator, the networked control systems were modeled as discrete-time jump systems with uncertain parameters by firstly partitioning the maximum possible delay value into a plurality of equal intervals, and then describing it as a stochastic process of a finite state Markov chain according to the jump characteristics of the delay in each interval. Considering the condition that the elements of the transition probability matrix of the Markov chain were partly unknown, the time-varying controller meeting the requirement of system stability was designed based on the theory of Lyapunov stability and stochastic process. Lastly, the simulation examples illustrate the effectiveness of the proposed method.

关 键 词：网络控制系统 随机时延 随机稳定性 时变控制器 转移概率矩阵 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]