多自主单输入单输出Hammerstein系统的输出同步
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- 英文论文题名：Output Consensus of Networked SISO Hammerstein Systems
- 论文作者：冯文辉 ; 陈翰馥
- 英文论文作者：FENG Wen-Hui ; CHEN Han-Fu ; Key Laboratory of Systems and Control ; Institute of Systems Science ; AMSS ; Chinese Academy of Sciences
- 年：2017
- 作者机构：中国科学院数学与系统科学研究院系统控制重点实验室;
- 论文关键词：Hammerstein系统 ; 多自主体系统 ; 扩张截尾随机逼近算法 ; 分布式算法
- 英文论文关键词：Hammerstein system ; Multi-agent system ; Stochastic approximation algorithm with expanding truncations ; Distributed algorithm
- 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：中文
- 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：6
- 文件大小：664k
- 原文格式：D
- 会议级别：全国
摘要
本文研究噪声环境下多自主单输入单输出Hammerstein系统的输出同步问题.通过将问题转化为未知函数求根,基于分布式扩张截尾随机逼近算法给出了分布式控制,并证明了控制算法的收敛性.最后,通过数值仿真验证了理论结果.
The paper studies the output consensus problem of the networked single-input single-output Hammerstein systems in noisy environment. The control is given by a distributed stochastic approximation algorithm with expanding truncations on the basis of transforming the problem to root-seeking for an unknown function. The convergence of the algorithm is proved, and the desired consensus is achieved. Finally, the numerical simulation example given in the paper justifies the theoretical assertions.
The paper studies the output consensus problem of the networked single-input single-output Hammerstein systems in noisy environment. The control is given by a distributed stochastic approximation algorithm with expanding truncations on the basis of transforming the problem to root-seeking for an unknown function. The convergence of the algorithm is proved, and the desired consensus is achieved. Finally, the numerical simulation example given in the paper justifies the theoretical assertions.
引文
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[4]W.Ren,and R.W.Beard,Consensus seeking in multiagent systems under dynamically changing interaction topologies,IEEE Trans.Autom.Control,50,655-661,2005.
[5]H.T.Fang,H.F.Chen,and L.Wen,Consensus and Cooperation in Networked Multi-Agent Systems,Journal of Systems Science&Complexity,25(1),1-12,2012.
[6]M.Y.Huang and Jonathan H.Manton,Coordination and Consensus of Networked Agents with Noisy Measurements:Stochastic Algorithms and Asymptotic Behavior,SIAM Journal on Control and Optimization,48(1),134-161,2009.
[7]M.Y.Huang,T.Li and J.F.Zhang,Stochastic approximation based consensus dynamics over markovian networks,SIAM Journal on Control and Optimization,53(6),3339-3363,2015.
[8]T.Li,and J.F.Zhang,Consensus conditions of multiagent systems with time-varying topologies and stochastic communication noises,IEEE Trans.Autom.Control,55(9):2043 2057,2010.
[9]K.E.Liu,G.M.Xie,W.Ren and L.Wang,Consensus for multi-agent systems with inherent nonlinear dynamics under directed topologies,Systems&Control Letters,62(2),152-162,2013.
[10]E.W.Bai and D.Li,Convergence of the iterative Hammerstein system identification algorithm,IEEE Trans.Autom.Control,49(11),1929 1940,2004.
[11]M.Pawlak,On the series expansion approach to the identification of Hammerstein system,IEEE Trans.Autom.Control,36(6),763 767,1991.
[12]W.X.Zhao,H.F.Chen,Adaptive tracking and recursive identification for Hammerstein systems,Automatica,45(12),2773-2783,2009.
[13]K.Anbumani,L.M.Patnaik,and I.G.Sarma,Selftuning mininmun variance control of nonlinear systems of the Hammerstein model,IEEE Trans.on Autom.Control,26,959-961,1981.
[14]X.Hong,S.Iplikci,S.Chen,and K.A.Warwick,Amodel-based PID controller for Hammerstein systems using B-sline neual networks,International Journal of Adaptive Control and Signal Processing,28(3-5),332-339,2014.
[15]H.Robbins,and S.Monro,A stochastic approximation method,Ann.Math.Statist.,22,400-407,1951.
[16]H.F.Chen,Stochastic Approximation and Its Applications,Kluwer Academic Publisher,Dordrecht,The Netherlands,2002.
[17]H.F.Chen,and W.X.Zhao,Recursive Identification and Parameter Estimation,Taylor Francis USA,2014.
[18]H.F.Chen,Adaptive regulator for Hammerstein and Wiener systems with noisy observations,IEEE Trans.Autom.Control,52,703-709,2007.
[19]J.L.Lei,and H.F.Chen,Distributed Stochastic Approximation Algorithm With Expanding Truncations:Algorithm and Applications,ar Xiv:1410.7180v4.
[20]J.L.Lei,Cooperative Estimation and Optimization over Multi-Agent Networks with Uncertainties,Ph DThesis,The University of Chineses Academy of Sciences,2016.
[2]J.A.Fax and R.M.Murray,Information flow and cooperative control of vehicle formations,IEEE Trans.Autom.Control,49(9),1465-1476,2004.
[3]R.Olfati-Saber,J.A.Fax,and R.M.Murray,Consensus Problems in Networks of Agents With Switching Topology and Time-Delays,IEEE Trans.Autom.Control,49(9),1520-1533,2004.
[4]W.Ren,and R.W.Beard,Consensus seeking in multiagent systems under dynamically changing interaction topologies,IEEE Trans.Autom.Control,50,655-661,2005.
[5]H.T.Fang,H.F.Chen,and L.Wen,Consensus and Cooperation in Networked Multi-Agent Systems,Journal of Systems Science&Complexity,25(1),1-12,2012.
[6]M.Y.Huang and Jonathan H.Manton,Coordination and Consensus of Networked Agents with Noisy Measurements:Stochastic Algorithms and Asymptotic Behavior,SIAM Journal on Control and Optimization,48(1),134-161,2009.
[7]M.Y.Huang,T.Li and J.F.Zhang,Stochastic approximation based consensus dynamics over markovian networks,SIAM Journal on Control and Optimization,53(6),3339-3363,2015.
[8]T.Li,and J.F.Zhang,Consensus conditions of multiagent systems with time-varying topologies and stochastic communication noises,IEEE Trans.Autom.Control,55(9):2043 2057,2010.
[9]K.E.Liu,G.M.Xie,W.Ren and L.Wang,Consensus for multi-agent systems with inherent nonlinear dynamics under directed topologies,Systems&Control Letters,62(2),152-162,2013.
[10]E.W.Bai and D.Li,Convergence of the iterative Hammerstein system identification algorithm,IEEE Trans.Autom.Control,49(11),1929 1940,2004.
[11]M.Pawlak,On the series expansion approach to the identification of Hammerstein system,IEEE Trans.Autom.Control,36(6),763 767,1991.
[12]W.X.Zhao,H.F.Chen,Adaptive tracking and recursive identification for Hammerstein systems,Automatica,45(12),2773-2783,2009.
[13]K.Anbumani,L.M.Patnaik,and I.G.Sarma,Selftuning mininmun variance control of nonlinear systems of the Hammerstein model,IEEE Trans.on Autom.Control,26,959-961,1981.
[14]X.Hong,S.Iplikci,S.Chen,and K.A.Warwick,Amodel-based PID controller for Hammerstein systems using B-sline neual networks,International Journal of Adaptive Control and Signal Processing,28(3-5),332-339,2014.
[15]H.Robbins,and S.Monro,A stochastic approximation method,Ann.Math.Statist.,22,400-407,1951.
[16]H.F.Chen,Stochastic Approximation and Its Applications,Kluwer Academic Publisher,Dordrecht,The Netherlands,2002.
[17]H.F.Chen,and W.X.Zhao,Recursive Identification and Parameter Estimation,Taylor Francis USA,2014.
[18]H.F.Chen,Adaptive regulator for Hammerstein and Wiener systems with noisy observations,IEEE Trans.Autom.Control,52,703-709,2007.
[19]J.L.Lei,and H.F.Chen,Distributed Stochastic Approximation Algorithm With Expanding Truncations:Algorithm and Applications,ar Xiv:1410.7180v4.
[20]J.L.Lei,Cooperative Estimation and Optimization over Multi-Agent Networks with Uncertainties,Ph DThesis,The University of Chineses Academy of Sciences,2016.