Probability Density Function Shape Control for Stochastic Systems with Time-Delay
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- 英文论文题名：Probability Density Function Shape Control for Stochastic Systems with Time-Delay
- 论文作者：Long Chen ; Tao Li ; Zhuxiang Dai ; Lu Zhong
- 英文论文作者：Long Chen ; Tao Li ; Zhuxiang Dai ; Lu Zhong ; Nanjing University of Information Science and Technology ; School of Information and Control ; Collaborative Innovation Center on Atmospheric Environment and Equipment Technology
- 年：2017
- 作者机构：Nanjing University of Information Science and Technology,School of Information and Control;Collaborative Innovation Center on Atmospheric Environment and Equipment Technology;
- 英文论文关键词：Stochastic Distribution System ; Shape Control ; Time-Delay
- 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：O231
- 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：5
- 文件大小：257k
- 原文格式：D
- 会议级别：全国
摘要
In this paper, a shape control strategy is proposed for the stochastic distributed systems with time-delay. This strategy can effectively achieve the output of the system tracking a given target distribution. The square root rational B-spline(SR-RBS)expansion technique is used to approximate the output probability density function(PDF), thus the original stochastic system can be transformed into a weight dynamic system. In this framework, a new shape control strategy is proposed for this weight dynamic system. The strategy can track the given output distribution with optimal performance. Finally, the numerical simulation are showed to the effectiveness of the proposed method.
In this paper, a shape control strategy is proposed for the stochastic distributed systems with time-delay. This strategy can effectively achieve the output of the system tracking a given target distribution. The square root rational B-spline(SR-RBS)expansion technique is used to approximate the output probability density function(PDF), thus the original stochastic system can be transformed into a weight dynamic system. In this framework, a new shape control strategy is proposed for this weight dynamic system. The strategy can track the given output distribution with optimal performance. Finally, the numerical simulation are showed to the effectiveness of the proposed method.
In this paper, a shape control strategy is proposed for the stochastic distributed systems with time-delay. This strategy can effectively achieve the output of the system tracking a given target distribution. The square root rational B-spline(SR-RBS)expansion technique is used to approximate the output probability density function(PDF), thus the original stochastic system can be transformed into a weight dynamic system. In this framework, a new shape control strategy is proposed for this weight dynamic system. The strategy can track the given output distribution with optimal performance. Finally, the numerical simulation are showed to the effectiveness of the proposed method.
引文
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[9]H.Wang,and H.Yue,A rational spline model approximation and control of output probability density functions for dynamic stochastic systems,Trans.Inst.Meas.Control,25(2):93-105,2003.
[10]L.N.Yao,J.F.Qin,H.Wang,and B.Jiang,Design of new fault diagnosis and fault tolerant control scheme for nonGaussian singular stochastic distribution systems,Automatica,48(9):2305-2313,2012.
[11]L.N.Yao,J.F.Qin,A.P.Wang,and H.Wang,Fault diagnosis and fault-tolerant control for non-Gaussian non-linear stochastic systems using a rational square-root approximation model,IET Control Theory Appl.,7(1):116-124,2013.
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[14]J.F.Zhang,W.Wang,J.H.Zhang,G.L.Hou,Probability density function predictive control based on the rational square-root B-Spline model,Chinese Control and Decision Conference,2009:4669-4672.
[15]W.H.Chen,W.X.Zheng,Delay-dependent robust stabilization for uncertain neutral wystems with distributed delays.Automatica,43(1):95-104,2007.
[16]M.Wu,Y.He,J.H.She,New delay-dependent stability criteria and stabilizing method for neutral systems.IEEE Transactions on Automatic Control,49(12):2266-2271,2004
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[18]H.Y.Hu,Z.H.Wang,Research progress of nonlinear timedelay dynamic systems,Advance in Mechanics,29(4):501-512,1999.
[19]R.M.Yang,Y.Z.Wang,Finite time stability for a class of nonlinear time-delay systems,Journal of Shangdong University,42(2):36-44,2012.
[2]Y.G.Niu,D.W.C.Ho,and X.Y.Wang,Robust control for nonlinear stochastic systems:A sliding-mode approach,IEEE Trans on Automatic Control,53(7):1695-1701,2008.
[3]L.Guo,and H.Wang,Minimum entropy filtering for multivariate stochastic systems with non-Gaussian noises,IEEE Trans on Automatic Control,51(4):695-700,2006.
[4]Y.B.Shalom,X.R.Li,T.Kirubarajan.Estimation with Applications to Tracking and Navigation.London:John Wiley and Sons,2001.
[5]L.Guo,and H.Wang,PID controller design for output PDFs of stochastic systems using linear matrix inequalities.IEEE Trans.Syst.Man,35(1):65-71,2005.
[6]H.Wang,Bounded Dynamic Stochastic Systems:Modeling and Control.London:Springer-Verlag,2000.
[7]L.Guo,and H.Wang,Fault detection and diagnosis for general stochastic systems using B-spline expansions and nonlinear filters,IEEE Trans.Circuits Syst.I,Reg.Papers,52(8):1644-1652,2005.
[8]Y.Yi,L.Guo,and H.Wang,Constrained PI tracking control for output probability distributions based on two-step neural networks,IEEE Trans.Circuits Syst.I,Reg.Papers,56(7):1416-1426,2009.
[9]H.Wang,and H.Yue,A rational spline model approximation and control of output probability density functions for dynamic stochastic systems,Trans.Inst.Meas.Control,25(2):93-105,2003.
[10]L.N.Yao,J.F.Qin,H.Wang,and B.Jiang,Design of new fault diagnosis and fault tolerant control scheme for nonGaussian singular stochastic distribution systems,Automatica,48(9):2305-2313,2012.
[11]L.N.Yao,J.F.Qin,A.P.Wang,and H.Wang,Fault diagnosis and fault-tolerant control for non-Gaussian non-linear stochastic systems using a rational square-root approximation model,IET Control Theory Appl.,7(1):116-124,2013.
[12]J.L.Zhou,H.Yue,and H.Wang,Shaping of output probability density functions based on the rational square-root B-spline model,Autom.Sin.,31(3):335-343,2005.
[13]J.F.Zhang,W.Wang,J.H.Zhang,G.L.Hou,J.L.Wu,A rational square-root B-spline model approximation output probability density functions for dynamic stochastic systems.Chinese Control and Decision Conference,2010:2609-2613.
[14]J.F.Zhang,W.Wang,J.H.Zhang,G.L.Hou,Probability density function predictive control based on the rational square-root B-Spline model,Chinese Control and Decision Conference,2009:4669-4672.
[15]W.H.Chen,W.X.Zheng,Delay-dependent robust stabilization for uncertain neutral wystems with distributed delays.Automatica,43(1):95-104,2007.
[16]M.Wu,Y.He,J.H.She,New delay-dependent stability criteria and stabilizing method for neutral systems.IEEE Transactions on Automatic Control,49(12):2266-2271,2004
[17]D.M.Zhang,L.Yu,Survey on the stability analysis of linear time2delay systems,Control and Decision,23(8):841-849,2008.
[18]H.Y.Hu,Z.H.Wang,Research progress of nonlinear timedelay dynamic systems,Advance in Mechanics,29(4):501-512,1999.
[19]R.M.Yang,Y.Z.Wang,Finite time stability for a class of nonlinear time-delay systems,Journal of Shangdong University,42(2):36-44,2012.