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H_∞ Control for LPV Discrete Systems with Random Time-Varying Network Delay

机译：具有随机时变网络时滞的LPV离散系统的H_∞控制

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摘要

In this paper, we study the H-infinity control problem for Linear Parameter Varying (LPV) discrete systems with random time-varying network delay. The state matrices of LPV discrete systems are deterministic functions and changed with parameters; the range of parameters is measurable. Considering the characteristics of networks with random time-varying delay, we proposed a new parameter-dependent H-infinity, performance criterion based on the Lyapunov stability theory. The coupling between Lyapunov functions and system matrices could be eliminated by introducing an additional matrix in this criterion, which made it easier for numerical implementation. On this basis, we designed a state feedback controller by virtue of linear matrix inequalities, which transformed the sufficient conditions into existence condition of solution of parametric linear matrix inequalities. The designed controller could keep the closed-loop system asymptotically stable under given time delay and probability and meet predefined performance metric. The validity of the proposed method is verified by numerical simulation.
机译：在本文中，我们研究具有随机时变网络时滞的线性参数可变（LPV）离散系统的H无限控制问题。 LPV离散系统的状态矩阵是确定性函数，并随参数而变化。参数范围是可测量的。考虑到随机时变网络的特点，基于李雅普诺夫稳定性理论，提出了一种新的基于参数的H无穷大性能准则。通过在此准则中引入附加矩阵，可以消除Lyapunov函数与系统矩阵之间的耦合，这使得数值实现更加容易。在此基础上，利用线性矩阵不等式设计了状态反馈控制器，将充分条件转化为参数线性矩阵不等式解的存在条件。设计的控制器可以在给定的时间延迟和概率下保持闭环系统渐近稳定，并满足预定义的性能指标。数值仿真验证了该方法的有效性。

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  • 来源
    《Mathematical Problems in Engineering》 |2018年第14期|9095014.1-9095014.9|共9页
  • 作者

    Huang Kewang; Ma Tao; Pan Feng;

  • 作者单位

    Wuxi Inst Technol, Sch Internet Things Technol, Wuxi 214121, Jiangsu, Peoples R China;

    Jiangnan Univ, Minist Educ, Key Lab Adv Proc Control Light Ind, Wuxi 214122, Jiangsu, Peoples R China;

    Jiangnan Univ, Minist Educ, Key Lab Adv Proc Control Light Ind, Wuxi 214122, Jiangsu, Peoples R China;

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