基于HJB方程的无线传感器网络系统Minimax控制器设计  

Design of Minimax controller for wireless sensor network systems based on HJB equation

作　　者：石元博[1,2] 王建辉[1] 方晓柯[1] 黄越洋[3] 顾树生[1] SHI Yuan-bo;WANG Jian-hui;FANG Xiao-ke;HUANG Yue-yang;GU Shu-sheng(College of Information Science and Engineering,Northeastern University,Shenyang 110004,China;College of Computer and Communication Engineering,Liaoning Shihua University,Fushun 113001,China;College of Information and Control Engineering,Liaoning Shihua University,Fushun 113001,China)

机构地区：[1]东北大学信息科学与工程学院,沈阳110004 [2]辽宁石油化工大学计算机与通信工程学院,辽宁抚顺113001 [3]辽宁石油化工大学信息与控制工程学院,辽宁抚顺113001

出　　处：《控制与决策》2021年第4期947-952,共6页Control and Decision

基　　金：国家自然科学基金项目(61433004)。

摘　　要：针对工业环境下无线传感器网络系统在受到外部较大干扰时的系统稳定性问题,提出Hamilton-JacobiBellman (HJB)方程与Minimax控制相结合的方法.首先,针对无线传感器网络在复杂工况环境下出现的网络时延和连续丢包有界的情况,给出具有时延和丢包的无线传感器网络系统模型;然后,在Minimax性能指标函数下,利用HJB方程设计系统的Minimax最优控制器,进一步通过检验函数得出有关最大干扰的表达形式,从而推导出系统稳定的充分条件;最后,通过数值算例和仿真验证系统在突发较大干扰时采用所提方法的可行性和有效性.For solving the problem of stability of wireless sensor network(WSN) systems under greater external disturbance in industrial environment,this paper proposes a method that combines the Hamilton-Jacobi-Bellman(HJB)equation with the Minimax control method. Firstly, for solving the problem of that WSN has boundary of the delay and continuous packet loss in complex working conditions, the model of wireless sensor network systems with time delay and packet loss is given. Then, under the performance index function of Minimax, the Minimax optimal controller of the system is designed by using the HJB equation. Furthermore, a checking function is constructed to estimate the maximum disturbance that the system can withstand, and a sufficient condition for the stability of the system is proposed.Finally, the feasibility and effectiveness of the method are verified by numerical examples and simulation when the system is subject to sudden greater external disturbance.

关 键 词：无线传感器网络 外部较大干扰 HJB方程 Minimax控制 时延 丢包 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]