马尔可夫切换的汽车悬架系统的事件触发H_∞滤波  

Event-triggered H_∞ filtering of car suspension systems with Markovian switching

作　　者：孙家玉 严怀成[1,2] 李郅辰 詹习生 SUN Jiayu;YAN Huaicheng;LI Zhichen;ZHAN Xisheng(College of Information Science and Engineering,East China University of Science and Technology,Shanghai 200237;College of Mechatronics and Control Engineering,Hubei Normal University,Huangshi 435002)

机构地区：[1]华东理工大学信息科学与工程学院,上海200237 [2]湖北师范大学机电与控制学院,黄石435002

出　　处：《南京信息工程大学学报（自然科学版）》2018年第6期731-739,788,789,共11页Journal of Nanjing University of Information Science & Technology（Natural Science Edition）

基　　金：国家自然科学基金(61673178;61803159;61602163);上海国际科技合作项目(15220710700);上海曙光计划(16SG28);上海自然科学基金(17ZR1444700;18ZR1409600);上海市青年科技英才扬帆计划(18YF1406400);中国博士后科学基金(2018M032042);中央高校基本科研业务费(222201814040);青岛大学系统科学开放基金;湖北省高等学校优秀中青年科技创新团队(T201710)

摘　　要：针对具有马尔可夫切换信道的两自由度(2-DOF)四分之一汽车悬架系统,研究了事件触发H_∞滤波问题.首先,信道切换由马尔可夫链控制;其次,考虑到事件触发的通信方案,由于有限的网络带宽,产生信号量化和随机丢包问题;然后,采用马尔可夫线性跳变系统模型来表示整个滤波网络系统.利用Lyapunov泛函和线性矩阵不等式方法将事件触发H_∞滤波问题转化为凸优化问题,从而设计了切换信道相关的滤波器,使得滤波误差系统在均方意义上是指数稳定的并达到期望的性能水平.最后,通过仿真实例验证了所提出的设计方法的有效性.An event-triggered H∞ state estimation problem is investigated in this paper for a two-degrees-of-freedom(2-DOF)quarter-car suspension system operated over a switching-channel network environment.First,the channelswitching is governed by a Markov chain.Then,a Markov jump linear system model is adopted to represent the overall networked system in accordance with the event-triggered communication scheme,signal quantization,and random packet losses on account of the limited network bandwidth.Using the Lyapunov functional and linear matrix inequality method,the event-triggered H∞state estimation problem is transformed into an optimization problem,theswitching-channel-dependent filters of which are designed such that the filter error system is exponentially stable in the mean square sense and achieves the desired performance level.Finally,a simulation example is used to demonstrate the validity of the proposed design.

关 键 词：事件触发传输机制 信号量化 随机丢包 马尔可夫链 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]