区间化时变时延的网络化切换系统建模与控制  

Modeling and control of networked switched systems with partitioned time-varying delay

作　　者：刘斌[1] 刘义才[1,2] LIU Bin;LIU Yi-cai(Engineering Research Center for Metallurgical Automation and Detecting Technology of Ministry of Education,Institute of Information Science and Engineering, Wuhan University of Science and Technology, Wuhan Hubei 430081, China;School of Mechanical-electronic and Automobile Engineering, Wuhan Business University, Wuhan Hubei 430056, China)

机构地区：[1]武汉科技大学信息科学与工程学院冶金自动化与检测技术教育部工程研究中心,湖北武汉430081 [2]武汉商学院机电工程与汽车服务学院,湖北武汉430056

出　　处：《控制理论与应用》2017年第7期912-920,共9页Control Theory & Applications

基　　金：国家自然科学基金项目(61104027;61573263)资助~~

摘　　要：研究了具有从传感器到控制器和控制器到执行器存在双边时变时延的网络控制系统指数稳定性的问题.首先将时延变化范围划分为多个等分区间,然后采用增广矩阵的方法建立了参数不确定的离散时间切换闭环系统模型.同时基于平均驻留时间分析方法,给出了系统满足指数稳定的条件,接着进一步的建立了时延区间划分个数与系统状态指数衰减率的定量关系.该方法有效降低了系统设计的保守性,一定程度上减少了系统状态收敛的时间.最后通过数值仿真验证了所提方法的有效性.The exponential stability problem is studied for the networked control systems with bilateral time-varyingdelay of sensor-to-controller and controller-to-actuator.A discrete-time switched closed-loop system with uncertain parametersis modeled by partitioning the range of time-varying delay into multi-equal intervals and using the method ofaugmented matrix.Then the condition meeting the exponential stability in the closed-loop system is presented,and thequantitative relation between the number of delay intervals and the exponential decay rate is established based on the approachof average dwell time.The proposed design method can decrease the conservatism of the system design and shortenthe convergence time to some degree.Finally,the simulation results are given to illustrate the effectiveness of the proposedmethod.

关 键 词：网络控制系统 时变时延 切换系统 平均驻留时间 稳定 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]