Quantized H_∞ control for stochastic systems with packet losses

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• 英文论文题名：Quantized H_∞ control for stochastic systems with packet losses
• 论文作者：Zhipei Hu ; Feiqi Deng ; Xueyan Zhao ; Hongwei Ren
• 英文论文作者：Zhipei Hu ; Feiqi Deng ; Xueyan Zhao ; Hongwei Ren ; Systems Engineering Institute ; South China University of Technology ; Guangdong University of Petrochemical Technology
• 年：2017
• 作者机构：Systems Engineering Institute,South China University of Technology;Guangdong University of Petrochemical Technology;
• 英文论文关键词：Quantized feedback control ; Stochastic networked control system ; Packet losses ; Input-delay approach ; Robust H∞ control
• 会议召开时间：2017-07-26
• 会议录名称：第36届中国控制会议论文集（B）
• 英文会议录名称：Proceedings of the 36th Chinese Control Conference（B）
• 语种：英文
• 分类号：TP273
• 学会代码：KZLL
• 会议名称：第36届中国控制会议
• 会议地点：中国辽宁大连
• 主办单位：中国自动化学会控制理论专业委员会
• 学会名称：中国自动化学会控制理论专业委员会
• 页数：6
• 文件大小：435k
• 原文格式：D
• 会议级别：全国

摘要

In this paper, the quantized H_∞ feedback control problem is investigated for a class of stochastic networked systems with quantization and probabilistic data missing. The parameter uncertainties are time-varying norm-bounded and appear in both the state and input matrices. Input-delay approach is employed to model the networked control systems where the state and control signal are quantized by two logarithmic quantizers, respectively. By assuming that the network packet loss rate and employing the probability distribution characteristic of packet dropouts, the considered stochastic networked system with stochastic input-delay is transformed into a system with stochastic parameter. Based on that, robust mean-square exponential stability of the system with an H∞ performance is guaranteed and quantized H∞ controller design procedure is proposed.Finally, a numerical simulation example is exploited to show the effectiveness of the results derived.
In this paper, the quantized H_∞ feedback control problem is investigated for a class of stochastic networked systems with quantization and probabilistic data missing. The parameter uncertainties are time-varying norm-bounded and appear in both the state and input matrices. Input-delay approach is employed to model the networked control systems where the state and control signal are quantized by two logarithmic quantizers, respectively. By assuming that the network packet loss rate and employing the probability distribution characteristic of packet dropouts, the considered stochastic networked system with stochastic input-delay is transformed into a system with stochastic parameter. Based on that, robust mean-square exponential stability of the system with an H∞ performance is guaranteed and quantized H∞ controller design procedure is proposed.Finally, a numerical simulation example is exploited to show the effectiveness of the results derived.

引文

[1]G.C.Walsh,H.Ye,and L.G.Bushnell,“Stability analysis of networked control systems,”IEEE Trans.Control Sys.Tech.,vol.10,no.3,pp.438–446,2002.
    [2]M.Sahebsara,T.Chen,and S.L.Shah,“Optimal H∞filtering in networked control systems with multiple packet dropouts,”Syst.Control Lett.,vol.57,no.9,pp.696–702,2008.
    [3]R.Kalman,“Nonlinear aspects of sampled-data control systems,”in Proc.of the Symposium on Nonlinear Circuit Analysis,vol.6.Polytechnic Institute of Brooklyn Brooklyn,New York,1956,pp.273–313.
    [4]R.W.Brockett and D.Liberzon,“Quantized feedback stabilization of linear systems,”IEEE Trans.Automat.Control,vol.45,no.7,pp.1279–1289,2000.
    [5]N.Elia and S.K.Mitter,“Stabilization of linear systems with limited information,”IEEE Trans.Automat.Control,vol.46,no.9,pp.1384–1400,2001.
    [6]M.Fu and L.Xie,“The sector bound approach to quantized feedback control,”IEEE Trans.Automat.Control,vol.50,no.11,pp.1698–1711,2005.
    [7]H.Gao and T.Chen,“A new approach to quantized feedback control systems,”Automatica,vol.44,no.2,pp.534–542,2008.
    [8]Z.Wang,B.Shen,H.Shu,and G.Wei,“Quantized control for nonlinear stochastic time-delay systems with missing measurements,”IEEE Trans.Automat.Control,vol.57,no.6,pp.1431–1444,2012.
    [9]X.Meng,J.Lam,and H.Gao,“Network-based H∞control for stochastic systems,”Int.J.Robust Nonlin.Control,vol.19,no.3,pp.295–312,2009.
    [10]Q.Zhou and P.Shi,“A new approach to network-based H∞control for stochastic systems,”Int.J.Robust Nonlin.Control,vol.22,no.9,pp.1036–1059,2012.
    [11]J.Wu,H.R.Karimi,and P.Shi,“Network-based H∞output feedback control for uncertain stochastic systems,”Inf.Sci.,vol.232,pp.397–410,2013.
    [12]T.H.Lee,J.H.Park,S.Lee,and O.Kwon,“Robust sampleddata control with random missing data scenario,”Int.J.Control,vol.87,no.9,pp.1957–1969,2014.
    [13]S.Hu,D.Yue,X.Xie,and Z.Du,“Event-triggered H∞stabilization for networked stochastic systems with multiplicative noise and network-induced delays,”Inf.Sci.,vol.299,pp.178–197,2015.
    [14]R.M.Biernacki,H.Hwang,and S.Bhattacharyya,“Robust stability with structured real parameter perturbations,”IEEE Trans.Automat.Control,vol.32,no.6,pp.495–506,1987.
    [15]H.Gao and T.Chen,“Network-based H∞output tracking control,”IEEE Trans.Automat.Control,vol.53,no.3,pp.655–667,2008.