区间化随机时延的网络控制系统建模与控制

doi:10.16182/j.issn1004731x.joss.201802035

系统仿真学报 ›› 2018, Vol. 30 ›› Issue (2): 654-663.doi: 10.16182/j.issn1004731x.joss.201802035

区间化随机时延的网络控制系统建模与控制

刘义才^1,2, 刘斌¹, 石安伟¹

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

收稿日期:2016-01-12 出版日期:2018-02-08 发布日期:2019-01-02
作者简介:刘义才(1982-),男,湖北武汉,博士生,讲师,研究方向为网络控制系统、预测控制;刘斌(1972-),女,湖北武汉,博士,教授,博导,研究方向为网络控制系统、预测控制、复杂系统建模及数据挖掘。
基金资助:
国家自然科学基金(61104027)

Modeling and Control of Networked Control Systems with Partitioned Random Delay

Liu Yicai^1,2, Liu Bin¹, Shi Anwei¹

1.Institute of Information Science and Engineering, Wuhan University of Science and Technology, Wuhan 430081, China;
2.Department of Mechatronics Engineering and Automotive Services, Wuhan Business University, Wuhan 430056, China

Received:2016-01-12 Online:2018-02-08 Published:2019-01-02

摘要/Abstract

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。

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

Abstract: 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.

Key words: networked control systems, random delay, stochastic stability, time-varying controller, transition probability matrix

中图分类号:

TP273

刘义才, 刘斌, 石安伟. 区间化随机时延的网络控制系统建模与控制[J]. 系统仿真学报, 2018, 30(2): 654-663.

Liu Yicai, Liu Bin, Shi Anwei. Modeling and Control of Networked Control Systems with Partitioned Random Delay[J]. Journal of System Simulation, 2018, 30(2): 654-663.

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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

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