Observer design for a class of linear time-varying systems
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- 英文论文题名：Observer design for a class of linear time-varying systems
- 论文作者：L.T.Li ; G.R.Duan
- 英文论文作者：L.T.Li ; G.R.Duan ; Center for Control Theory and Guidance Technology ; Harbin Institute of Technology
- 年：2017
- 作者机构：Center for Control Theory and Guidance Technology, Harbin Institute of Technology;
- 英文论文关键词：augmented linear time-varying systems ; observability block companion form ; observer design
- 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（A）
- 英文会议录名称：Proceedings of the 36th Chinese Control Conference（A）
- 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：6
- 文件大小：260k
- 原文格式：D
- 会议级别：全国
摘要
The problem of observer design for a class of linear time-varying system is researched in this paper. An augmented linear time-varying system is proposed to extent the application of the previous results. Moreover, using the observable block companion form of the augmented linear time-varying system, this paper presents an algorithm of observer design. Compared with other observer design approaches, the prominent feature of the algorithm is that of simplifying the computational complexity.Finally, simulations are designed in linear time-varying system and results are presented to demonstrate validity of the proposed algorithm.
The problem of observer design for a class of linear time-varying system is researched in this paper. An augmented linear time-varying system is proposed to extent the application of the previous results. Moreover, using the observable block companion form of the augmented linear time-varying system, this paper presents an algorithm of observer design. Compared with other observer design approaches, the prominent feature of the algorithm is that of simplifying the computational complexity.Finally, simulations are designed in linear time-varying system and results are presented to demonstrate validity of the proposed algorithm.
The problem of observer design for a class of linear time-varying system is researched in this paper. An augmented linear time-varying system is proposed to extent the application of the previous results. Moreover, using the observable block companion form of the augmented linear time-varying system, this paper presents an algorithm of observer design. Compared with other observer design approaches, the prominent feature of the algorithm is that of simplifying the computational complexity.Finally, simulations are designed in linear time-varying system and results are presented to demonstrate validity of the proposed algorithm.
引文
[1]B.Zhou,G.R.Duan,et al.,Observer-based output stabilization of integrators system with lipschitz nonlinear term by bounded control,2006 Chinese Control Conference,273-278,2006.
[2]K.Zhang,G.R.Duan,et al.,Disturbance observer-based sliding mode control for spacecraft non-cooperative rendezvous,2016 35th Chinese Control Conference,10730-10735,2016.
[3]D.G.Luenberger,Observering the state of a linear system,IEEE Transactions on Military Electronics,8(2):74-80,1964.
[4]D.G.Luenberger,Observers for multivariable systems,IEEE Transactions on Automatic Control,11(2):190-197,1966.
[5]L.M.Silverman,H.E,Meadows,Controllability and observability in time-variable linear systems,J.Siam Control,5(1):64–73,1967.
[6]L.S.Shieh,S.Ganesan,Transformations of a class of time-varying multivariable control systems to block companion forms,Computers and Mathematicals with Applications,14(6):471–477,1987.
[7]G.R.Duan,Linear system theory(Third Edition),Science Press,143–144,2016.
[8]J.Trumpf,Observers for linear time-varying systems,Linear Algebra and its Application,425,303-312,2007.
[9]F.Rotella,I.Zambettakis,A note on functional observability,IEEE Transactions on Automatic Control,61(10):3197-3202,2016.
[10]F.Rotella,I.Zambettakis,On functional observers for linear time-varying systems,IEEE Transactions on Automatic Control,58(5):1354-1360,2013.
[11]F.Rotella,I.Zambettakis,A design procedure for a single time-varying functional observer,52nd IEEE Conference on Decision and Control,799-804,2013.
[12]T.Fernando,L.Jennings,et al.,Functional observability,2010Fifth International Conference on Information and Automation for Sustainability,421-423,2010.
[13]C.Nguyen,T.N.Lee,Design of a state estimator for a class of time-varying multivariable systems,IEEE Transactions on Automatic Control,30(2):179-182,1985.
[14]Q.Zhang,Adaptive observer for multiple-input-multipleoutput(MIMO)linear time-varying systems,IEEE Transactions on Automatic Control,47(3):525-529,2002.
[15]J.Zhang,D.Y.Yin,et al.,An improved adaptive observer design for a class of linear time-varying systems,2011 Chinese Control and Decision Conference,1395-1398,2011.
[16]K.Bobinyec,S.L.Campbell,et al.,Maximally reduced observers for linear time-varying DAEs,2011 IEEE International Symposium on Computer-Aided Control System Design,1373-1378:2011.
[17]M.Alma,M.Darouach,Adaptive observers design for a class of linear descriptor systems,Automatica,50(2):578-583,2014.
[18]Z.Q.Pu,R.Y.Yuan,et al.,Design and analysis of timevarying extended state observer,2015 34th Chinese Control Conference,753-758,2015.
[19]R.Huang,J.J.Zhu,Time-varying high-gain trajectory linearization observer design,2009 American Control Conference,4628-4635,2009.
[20]R.E.H.Thabet,T.Ra¨?ssi,et al.,An effective method to interval observer design for time-varying systems,Automatica,50(10):2677-2684,2014.
[2]K.Zhang,G.R.Duan,et al.,Disturbance observer-based sliding mode control for spacecraft non-cooperative rendezvous,2016 35th Chinese Control Conference,10730-10735,2016.
[3]D.G.Luenberger,Observering the state of a linear system,IEEE Transactions on Military Electronics,8(2):74-80,1964.
[4]D.G.Luenberger,Observers for multivariable systems,IEEE Transactions on Automatic Control,11(2):190-197,1966.
[5]L.M.Silverman,H.E,Meadows,Controllability and observability in time-variable linear systems,J.Siam Control,5(1):64–73,1967.
[6]L.S.Shieh,S.Ganesan,Transformations of a class of time-varying multivariable control systems to block companion forms,Computers and Mathematicals with Applications,14(6):471–477,1987.
[7]G.R.Duan,Linear system theory(Third Edition),Science Press,143–144,2016.
[8]J.Trumpf,Observers for linear time-varying systems,Linear Algebra and its Application,425,303-312,2007.
[9]F.Rotella,I.Zambettakis,A note on functional observability,IEEE Transactions on Automatic Control,61(10):3197-3202,2016.
[10]F.Rotella,I.Zambettakis,On functional observers for linear time-varying systems,IEEE Transactions on Automatic Control,58(5):1354-1360,2013.
[11]F.Rotella,I.Zambettakis,A design procedure for a single time-varying functional observer,52nd IEEE Conference on Decision and Control,799-804,2013.
[12]T.Fernando,L.Jennings,et al.,Functional observability,2010Fifth International Conference on Information and Automation for Sustainability,421-423,2010.
[13]C.Nguyen,T.N.Lee,Design of a state estimator for a class of time-varying multivariable systems,IEEE Transactions on Automatic Control,30(2):179-182,1985.
[14]Q.Zhang,Adaptive observer for multiple-input-multipleoutput(MIMO)linear time-varying systems,IEEE Transactions on Automatic Control,47(3):525-529,2002.
[15]J.Zhang,D.Y.Yin,et al.,An improved adaptive observer design for a class of linear time-varying systems,2011 Chinese Control and Decision Conference,1395-1398,2011.
[16]K.Bobinyec,S.L.Campbell,et al.,Maximally reduced observers for linear time-varying DAEs,2011 IEEE International Symposium on Computer-Aided Control System Design,1373-1378:2011.
[17]M.Alma,M.Darouach,Adaptive observers design for a class of linear descriptor systems,Automatica,50(2):578-583,2014.
[18]Z.Q.Pu,R.Y.Yuan,et al.,Design and analysis of timevarying extended state observer,2015 34th Chinese Control Conference,753-758,2015.
[19]R.Huang,J.J.Zhu,Time-varying high-gain trajectory linearization observer design,2009 American Control Conference,4628-4635,2009.
[20]R.E.H.Thabet,T.Ra¨?ssi,et al.,An effective method to interval observer design for time-varying systems,Automatica,50(10):2677-2684,2014.