离散时滞随机系统的一种均方有界事件驱动控制策略

doi:10.3969/j.issn.0372-2112.2020.03.015

电子学报 ›› 2020, Vol. 48 ›› Issue (3): 524-530.DOI: 10.3969/j.issn.0372-2112.2020.03.015

离散时滞随机系统的一种均方有界事件驱动控制策略

高毅^1,2, 李云骥², 彭力²

1. 江苏省传感网应用工程技术研究开发中心, 无锡职业技术学院, 江苏无锡 214121;
2. 物联网技术应用教育部工程研究中心, 江南大学, 江苏无锡 214122

收稿日期:2018-07-21 修回日期:2019-07-18 出版日期:2020-03-25
- 作者简介:
- 高毅男,1984年4月出生于山西省襄垣县,2019年6月江南大学控制科学与工程专业博士研究生毕业,获得工学博士学位.主要研究方向为无线传感器网络、事件驱动控制.E-mail:7151905009@vip.jiangnan.edu.cn;李云骥 男,1991年4月出生于江苏省无锡市,2018年12月江南大学控制科学与工程专业博士研究生毕业,获得工学博士学位.主要研究方向为无线传感器网络、远程状态估计、多跳网络等.E-mail:7141905009@vip.jiangnan.edu.cn;彭力男,1967年3月出生于河北省唐山市,2002年6月北京科技大学大学控制理论与控制工程专业博士研究生毕业,获得工学博士学位.现为江南大学教授,博士生导师.主要从事无线传感器网络、视觉物联网的相关研究.E-mail:pengli@jiangnan.edu.cn
- 基金资助:
- 国家自然科学基金 (No.61873112）; 教育部-中国移动科研基金 (No.MCM20170204）; 国家重点研发项目 (No.2018YFD0400902）

Mean-Square Boundedness on an Event-Triggered Control Strategy for Discrete-Time Stochastic Systems with Time-Delay

GAO Yi^1,2, LI Yun-ji², PENG Li²

1. Jiangsu Provincial Sensor Network Engineering Technology Research Center, Wuxi Institute of Technology, Wuxi, Jiangsu 214121, China;
2. Engineering Research Center of IOT Technology Applications Ministry of Education, Jiangnan University, Wuxi, Jiangsu 214122, China

Received:2018-07-21 Revised:2019-07-18 Online:2020-03-25 Published:2020-03-25

摘要/Abstract

摘要： 针对状态时滞随机系统，应用事件驱动近似二次性能指标和随机均方有界理论，同时考虑控制输入和事件决策，设计了反馈控制器和相应的事件驱动控制策略.基于状态反馈的事件驱动策略同时使用当前状态和时滞状态进行事件的触发，并利用近似二次性能指标进行约束；基于输出反馈的事件驱动策略使用当前状态进行事件的触发.最后，通过实验进行了仿真，对事件驱动性能指标进行量化，并与相关文献进行对比，验证了所提出方案可以在保证系统性能的前提下有效减少通信传输，延长无线传感网络的使用寿命.

关键词: 事件驱动控制, 均方有界, 时滞

Abstract: This paper is concerned with the event-triggered controller and the corresponding event transmission rule for a class of stochastic system subject to state delay.The basic theories are approximate quadratic performance index and mean-square boundedness theory.First,the event-triggered state feedback control scheme constrained by the approximate quadratic performance index is proposed which used the current state and time-delay state simultaneously.Subsequently,an event-triggered output feedback control scheme is established which eliminates the influence of the state-delay terms according to the mean-square boundedness theory.Finally,a numerical example is given to illustrate the effectiveness of the proposed strategies.

Key words: event-triggered control, mean-square boundedness, time delay

中图分类号:

TP273

高毅, 李云骥, 彭力. 离散时滞随机系统的一种均方有界事件驱动控制策略[J]. 电子学报, 2020, 48(3): 524-530.

GAO Yi, LI Yun-ji, PENG Li. Mean-Square Boundedness on an Event-Triggered Control Strategy for Discrete-Time Stochastic Systems with Time-Delay[J]. Acta Electronica Sinica, 2020, 48(3): 524-530.

参考文献

[1] Antunes D J,Khashooei B A.Consistent dynamic event-triggered policies for linear quadratic control[J].IEEE Transactions on Control of Network Systems,2018,5(3):1386-1398.
[2] 王宏伟,连捷,夏浩.通讯资源受限网络系统的非均匀采样切换控制[J].电子学报,2018,46(11):2597-2603. WANG Hong-wei,LIAN Jie,XIA Hao.Non-uniformly sampled switched control for communication resource constrained network systems[J].Acta Electronica Sinica,2018,46(11):2597-2603.(in Chinese)
[3] 龚海刚,刘明,余昌远,等.无线传感器网络环境下基于事件驱动应用的节能TDMA协议[J].电子学报,2007,35(10):1843-1848. GONG Hai-gang,LIU Ming,YU Chang-yuan,et al.An energy-efficient event driven TDMA protocol for wireless sensor network[J].Acta Electronica Sinica,2007,35(10):1843-1848.(in Chinese)
[4] Borgers D P,Dolk V S,Heemels W P M H.Riccati-based design of event-triggered controllers for linear systems with delays[J].IEEE Transactions on Automatic Control,2018,63(1):174-188.
[5] 蔺想红,张田文.指数突触电导IF神经元模型及事件驱动模拟策略[J].电子学报,2008,36(8):1495-1501. LIN Xiang-hong,ZHANG Tian-wen.An integrate-and-fire neuron model with exponential synaptic conductances for event-driven simulation strategy[J].Acta Electronica Sinica,2008,36(8):1495-1501.(in Chinese)
[6] Ding L,Han Q,Ge X H,Zhang X M.An overview of recent advances in event-triggered consensus of multiagent systems[J].IEEE Transactions on Cybernetics,2018,48(4):1110-1123.
[7] Khashooei B A,Antunes D J,Heemels W P M H.Output-based event-triggered control with performance guarantees[J].IEEE Transactions on Automatic Control,2017,62(7):3646-3652.
[8] Zhang C H,Yang G H.Event-triggered practical finite-time output feedback stabilization of a class of uncertain nonlinear systems[J].International Journal of Robust and Nonlinear Control,2019,29(10):3078-3092.
[9] Qi Y W,Zeng P Y,Bao W,et al.Event-triggered robust H∞control for uncertain switched linear systems[J].International Journal of Systems Science,2017,48(15):3172-3185.
[10] Yang Y,Yue D.NNs-based event-triggered consensus control of a class of uncertain nonlinear multi-agent systems[J].Asian Journal of Control,2019,21(2):660-673.
[11] Sun Y M,Yu J Y,Li Z C.Event-triggered finite-time robust filtering for a class of state-dependent uncertain systems with network transmission delay[J].IEEE Transactions on Circuits and Systems I:Regular Papers,2019,66(3):1076-1089.
[12] Zou Y Y,Wang,Q,Jia T G,et al.Multirate event-triggered MPC for NCSs with transmission delays[J].Circuits Systems and Signal Processing,2016,35(12):4249-4270.
[13] Xing M L,Deng F Q.Dynamic output feedback control for stochastic networked control systems based on a periodic event-triggered mechanism[J].Transactions of the Institute of Measurement and Control,2019,41(7):1975-1984.
[14] 齐国元,陈增强,薛薇,等.一类新型非线性随机系统微分状态估计器和控制器[J].电子学报,2004,32(4):693-696. QI Guo-yuan,CHEN Zeng-qiang,Xue Wei,et al.A new differential state estimator and controller for nonlinear stochastic system[J].Acta Electronica Sinica,2004,32(4):693-696.(in Chinese)
[15] Wang B,Meng X,Chen T.Event based pulse-modulated control of linear stochastic systems[J].IEEE Transactions on Automatic Control,2014,59(8):2144-2150.
[16] Cogill R.Event-based control using quadratic approximate value functions[A].48h IEEE Conference on Decision and Control (CDC) held jointly with 200928th Chinese Control Conference[C].Shanghai:IEEE,2009.5883-5888.
[17] Berkel F,Liu S.An event-triggered output-based model predictive control strategy[J].IEEE Transactions on Control of Network Systems,2019,6(2):822-832.
[18] Boukas E K.Discrete-time systems with time-varying time delay:stability and stabilizability[J].Mathematical Problems in Engineering,2007,2006(1):369-376.
[19] Chen J,Lin C,Chen B,et al.Static output-feedbackstabilisation for discrete time-delay systems[A].35th Chinese Control Conference (CCC)[C].Chengdu:IEEE,2016.5814-5818.
[20] Zemouche A,Boutayeb M.Observer synthesis method for lipschitz nonlinear discrete-time systems with time-delay:an LMI approach[J].Applied Mathematics & Computation,2011,218(2):419-429.
[21] Shi P,Boukas E K,Agarwal R K.Control of markovian jump discrete-time systems with norm bounded uncertainty and unknown delay[J].IEEE Transactions on Automatic Control,1999,44(11):2139-2144.
[22] Alavi S M M,Saif M.Fault detection in nonlinear stable systems over lossy networks[J].IEEE Transactions on Control Systems Technology,2013,21(6):2129-2142.
[23] Wang Z,Yang F,et al.H∞ robust filtering for stochastic time-delay systems with missing measurements[J].IEEE Transactions on Signal Processing,2006,54(7):2579-2587.
[24] Cogill R,Lall S,Hespanha J P.A constant factor approximation algorithm for event-based sampling[A].2007 American Control Conference (ACC)[C].New York:IEEE,2007.305-311.
[25] Gao Y,Li Y J,Peng L,et al.Design of event-triggered fault-tolerant control for stochastic systems with time-delays[J].Sensors,2018,18(6):1-15.

离散时滞随机系统的一种均方有界事件驱动控制策略

Mean-Square Boundedness on an Event-Triggered Control Strategy for Discrete-Time Stochastic Systems with Time-Delay

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

[1]	王刚, 陆世伟, 冯云, 刘文斌, 马润年. 网络节点增减下的潜伏型病毒传播行为建模研究[J]. 电子学报, 2022, 50(2): 273-283.
[2]	邢琳, 周立群. 多比例时滞细胞神经网络的同步性[J]. 电子学报, 2020, 48(10): 1961-1968.
[3]	吴玉彬, 张合新, 惠俊军, 李国梁, 周鑫, 杨田光. 区间变时滞不确定系统鲁棒稳定性分析[J]. 电子学报, 2018, 46(4): 975-983.
[4]	周立群. 具比例时滞杂交双向联想记忆神经网络的全局指数稳定性[J]. 电子学报, 2014, 42(1): 96-101.
[5]	马大中;张化光;王占山;冯健. 一类非线性时滞系统的鲁棒H_∞滤波器设计[J]. 电子学报, 2010, 38(9): 2172-2178.
[6]	葛龙;孙金生;王执铨. 基于动态输出反馈控制的主动队列管理算法[J]. 电子学报, 2010, 38(12): 2816-2821.
[7]	刘振伟;张化光;佟绍成. 一类时变时滞模糊细胞神经网络的时滞依赖指数稳定性判据[J]. 电子学报, 2009, 37(3): 513-518.
[8]	罗毅平, 夏文华, 刘国荣, 邓飞其. 具反应扩散项变时滞细胞神经网络模型指数稳定性的新结果[J]. 电子学报, 2008, 36(4): 609-613.
[9]	王占山;张化光;余文;张庆灵. 基于LMI的时变时滞Cohen-Grossberg神经网络鲁棒稳定性[J]. 电子学报, 2008, 36(11): 2220-2223.
[10]	王建新, 荣亮. 大时滞网络拥塞控制器的设计[J]. 电子学报, 2007, 35(11): 2105-2110.
[11]	季策, 张化光, 关焕新. 多时滞Cohen-Grossberg神经网络鲁棒稳定性的新判据[J]. 电子学报, 2007, 35(1): 135-140.
[12]	王晓曦, 王永吉, 周津慧, 王秀利, . 基于改进网络模型的大时滞网络拥塞控制算法[J]. 电子学报, 2005, 33(5): 842-846.
[13]	伦淑娴, 张化光. 一类非线性时滞离散系统模糊H_∞滤波器的设计[J]. 电子学报, 2005, 33(2): 231-235.
[14]	沈轶, 江明辉, 宗校军, 廖晓昕. 多时滞神经网络的全局指数稳定性[J]. 电子学报, 2004, 32(12): 2010-2012.
[15]	卢辉斌;李丽香;彭海朋;关新平;郑绳楦. 超混沌M-G系统参数辨识及其在通讯中的应用[J]. 电子学报, 2002, 30(2): 289-291.