具有带宽约束和不可靠通信信道的Markov跳变系统的混合事件/时间驱动H_(∞)控制  

Mixed event/time-triggered H_(∞) control for Markov jump systems with bandwidth constraints and unreliable communication channels

作　　者：闫晶晶[1] 张梦宇 马运亮 YAN Jing-jing;ZHANG Meng-yu;MA Yun-liang(College of Electrical Engineering,Henan University of Technology,Zhengzhou 450001,China;Xuji Electric Corporation Limited,Xuchang 461000,China)

机构地区：[1]河南工业大学电气工程学院,郑州450001 [2]许继电气股份有限公司,河南许昌461000

出　　处：《控制与决策》2024年第11期3681-3689,共9页Control and Decision

基　　金：国家自然科学基金项目(61773154);河南省高校科技创新人才支持计划项目(24HASTIT039);河南省高等学校青年骨干教师培养计划项目(2020GGJS085);河南工业大学青年骨干教师培育计划项目(21420079)。

摘　　要：研究具有不可靠通信信道和有限带宽约束的Markov跳变系统的混合事件/时间驱动H_(∞)控制问题.为处理有限带宽约束,首先,基于驱动误差、辅助变量和切换时刻设计分布式混合事件/时间驱动机制以确定每个传感器节点的驱动时刻;其次,提出一种新的TOD(try-once-discard)调度协议以保证在驱动时刻仅有唯一的传感器节点接入网络.此外,将不可靠通信信道导致的数据丢包现象建模为伯努利分布,基于驱动时刻的数据传输情况构建随机序列和调度矩阵序列,对数据接收情况进行建模.以此为基础,利用线性矩阵不等式(linear matrix inequality,LMI)得到保证闭环Markov跳变系统在无扰动时随机稳定和有扰动时有限增益L_(2)随机稳定的充分性条件,并给出反馈增益阵的设计方法.最后,通过实例仿真验证所提出方法的有效性.This paper investigates the problem of mixed event/time-triggered H_(∞) control of Markov jump systems suffered by unreliable communication channels and limited bandwidth constraints.To deal with the finite bandwidth constraints,a distributed mixed event/time-triggered mechanism is firstly designed based on triggered errors,auxiliary variables and switching times to determine the triggered instants of each sensor node.Secondly,a novel TOD(try-once-discard)scheduling protocol is proposed,which ensures that only a unique sensor node is connected to the network at the triggered instants.Furthermore,the data packet loss caused by unreliable communication channels is modeled as Bernoulli distribution.The random sequence and scheduling matrix sequence are constructed based on the data transmitted at the triggered times,and the data reception is modeled.Based on this,by using linear matrix inequality,the sufficient conditions are obtained to ensure that the closed-loop Markov jump system is stochastic stable without disturbances and finite gain L_(2) stochastic stable with disturbances,and the design methods of feedback gain matrix are given.Finally,the effectiveness of the proposed method is verified through simulation.

关 键 词：MARKOV跳变系统 混合事件/时间驱动控制 带宽约束 不可靠通信信道 H_(∞)性能 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]