引用本文:刘斌,刘义才.区间化时变时延的网络化切换系统建模与控制[J].控制理论与应用,2017,34(7):912~920.[点击复制]
LIU Bin,LIU Yi-cai.Modeling and control of networked switched systems with partitioned time-varying delay[J].Control Theory and Technology,2017,34(7):912~920.[点击复制]
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
摘要点击 2162  全文点击 1878  投稿时间:2016-06-29  修订日期:2017-03-14
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DOI编号  10.7641/CTA.2017.60456
  2017,34(7):912-920
中文关键词  网络控制系统  时变时延  切换系统  平均驻留时间  稳定
英文关键词  networked control systems  time-varying delay  switched system  average dwell time  stability
基金项目  国家自然科技基金资助项目(61104027,61573263)
作者单位邮编
刘斌 武汉科技大学 信息科学与工程学院 430081
刘义才* 武汉科技大学 信息科学与工程学院 430081
中文摘要
      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。
英文摘要
      The exponential stability problem is studied for the networked control systems with bilateral time-varying delay of sensor-to-controller and controller-to-actuator. A discrete-time switched closed-loop system with uncertain parameters is modeled by partitioning the range of time-varying delay into multi-equal intervals and using the method of augmented matrix. Then the condition meeting the exponential stability in the closed-loop systems is presented, and the quantitative relation between the number of delay intervals and the exponential decay rate is established based on the approach of average dwell time. The proposed design method can decrease the conservatism of the system design and shorten the convergence time to some degree. Lastly, the simulation results are given to illustrate the effectiveness of the proposed method.