A new approach to design interval observers for nonlinear systems
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- 英文论文题名：A new approach to design interval observers for nonlinear systems
- 论文作者：Zhongwei He
- 英文论文作者：Zhongwei He ; College of Information Technology ; Jiangxi University of Finance and Economics
- 年：2017
- 作者机构：College of Information Technology,Jiangxi University of Finance and Economics;
- 英文论文关键词：interval observers ; observer gain ; nonlinear systems ; positive realization ; Metzler matrix
- 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：5
- 文件大小：290k
- 原文格式：D
- 会议级别：全国
摘要
A new approach to design interval observers for a class of nonlinear systems is proposed in this paper.Based on the matrix theory,a simple elementary operation is given to find a positive realization for the systems with bounded uncertainties.Compared with previous works,the main contribution of this work is to provide a method to guarantee the existence of an observer gain by means of such a positive representation.Finally,a numerical example is provided to demonstrate efficiency of the proposed approach.
A new approach to design interval observers for a class of nonlinear systems is proposed in this paper.Based on the matrix theory,a simple elementary operation is given to find a positive realization for the systems with bounded uncertainties.Compared with previous works,the main contribution of this work is to provide a method to guarantee the existence of an observer gain by means of such a positive representation.Finally,a numerical example is provided to demonstrate efficiency of the proposed approach.
A new approach to design interval observers for a class of nonlinear systems is proposed in this paper.Based on the matrix theory,a simple elementary operation is given to find a positive realization for the systems with bounded uncertainties.Compared with previous works,the main contribution of this work is to provide a method to guarantee the existence of an observer gain by means of such a positive representation.Finally,a numerical example is provided to demonstrate efficiency of the proposed approach.
引文
[1]L.Farina,S.Rinaldi.Positive linear systems,theory and applications.J.Wiley,New York,2000
[2]T.Kaczorek.Polynomial and Rational Matrices.Springer-Verlag,London,2009
[3]F.C.Schweppe.Recursive state estimation:unknown but bounded errors and system inputs.IEEE Trans.Autom.Control,13,22-28,1968
[4]Gouze J.L.,Rapaport A.,Hadj-Sadok M.Z.Interval observers for uncertain biological systems.Ecological Modelling,133:45-56,2000
[5]D.Efimov,W.Perruquetti,T.Raissi,A.Zolghadri.Interval Observers for Time-Varying Discrete-Time Systems.IEEE Trans.Autom.Control,58,12,3218-3224,2013
[6]Cai X.,Lv G.,Zhang W.Stabilisation for a class of non-linear uncertain systems based on interval observers.IET Control Theory and Applications,6,13,2057-2062,2012
[7]D.Efimov,T.Raissi,A.Zolghadri.Control of nonlinear and LPV systems:Interval observer-based framework.IEEE Trans.Autom.Control,58(3)773-782,2013
[8]D.Efimov,T.Raissi,S.Chebotarev,A.Zolghadri.Interval state observer for nonlinear time varying systems.Automatica,49,1,200-205,2013
[9]T.Raissi,G.Videau,A.Zolghadri.Interval observer design for consistency checks of nonlinear continuous-time systems.Automatica,46,518-527,2010
[10]T.Raissi,D.Efimov,A.Zolghadri.Interval State Estimation for a Class of Nonlinear Systems.IEEE Trans.Autom.Control,57,1,260-265,2012
[11]Rihab El Houda Thabet,Tarek Raissi,Christophe Combastel,Denis Efimov,Ali Zolghadri.An effective method to interval observer design for time-varying systems.Automatica,50,2677-2684,2014
[12]Stanislav Chebotarev,Denis Efimov,Tarek Rai'ssi,Ali Zolghadri.Interval observers for continuous-time LPV systems with L1/L2 performance.Automatica,58:82-89,2015
[13]Gang Zheng,Denis Efimov,Wilfrid Perruquetti.Design of interval observer for a class of uncertain unobservable nonlinear systems.Automatica,63:167-174,2016
[14]F.Mazenc,T.N.Dinh,S.I.Niculescu.Robust interval observers and stabilization design for discrete-time systems with input and output.Automatica,49,3490-3497,2013
[15]F.Mazenc,T.N.Dinh.Construction of interval observers for continuous-time systems with discrete measurements.Automatica,50,10,2555-2560,2014
[16]F.Cacace,A.Germani,C.Manes.A new approach to design interval observer for linear systems.IEEE Trans.Autom.Control,60,6,1665-1670,2015
[17]Wang Yan,David M.Bevly,Rajesh Rajamani.Interval observer design for LPV systems with parametric uncertainty.Automatica,60:79-85,2015
[18]Zhongwei He,Wei Xie.Control of nonlinear switched systems with average dwell time:Interval observer-based framework.IET Control Theory and Applications,10,1,10-16,2016
[19]A.Germani,C.Manes,P.Palumbo.Representation of a class of MIMO systems via internally positive realization.European journal of control,16,3,291-304,2010
[20]M.A.Rml,F.Tadeo.Controller synthesis for Positive linear systems with bounded controls.IEEE Trans.On circuit and systems,54,2,151-155,2007
[21]H.L.Smith.Monotone Dynamical Systems:An Introduction to the Theory of Competitive and Cooperative Systems,volume 41 of Surveys and Monographs.Providence,R.I.:AMS,1995
[2]T.Kaczorek.Polynomial and Rational Matrices.Springer-Verlag,London,2009
[3]F.C.Schweppe.Recursive state estimation:unknown but bounded errors and system inputs.IEEE Trans.Autom.Control,13,22-28,1968
[4]Gouze J.L.,Rapaport A.,Hadj-Sadok M.Z.Interval observers for uncertain biological systems.Ecological Modelling,133:45-56,2000
[5]D.Efimov,W.Perruquetti,T.Raissi,A.Zolghadri.Interval Observers for Time-Varying Discrete-Time Systems.IEEE Trans.Autom.Control,58,12,3218-3224,2013
[6]Cai X.,Lv G.,Zhang W.Stabilisation for a class of non-linear uncertain systems based on interval observers.IET Control Theory and Applications,6,13,2057-2062,2012
[7]D.Efimov,T.Raissi,A.Zolghadri.Control of nonlinear and LPV systems:Interval observer-based framework.IEEE Trans.Autom.Control,58(3)773-782,2013
[8]D.Efimov,T.Raissi,S.Chebotarev,A.Zolghadri.Interval state observer for nonlinear time varying systems.Automatica,49,1,200-205,2013
[9]T.Raissi,G.Videau,A.Zolghadri.Interval observer design for consistency checks of nonlinear continuous-time systems.Automatica,46,518-527,2010
[10]T.Raissi,D.Efimov,A.Zolghadri.Interval State Estimation for a Class of Nonlinear Systems.IEEE Trans.Autom.Control,57,1,260-265,2012
[11]Rihab El Houda Thabet,Tarek Raissi,Christophe Combastel,Denis Efimov,Ali Zolghadri.An effective method to interval observer design for time-varying systems.Automatica,50,2677-2684,2014
[12]Stanislav Chebotarev,Denis Efimov,Tarek Rai'ssi,Ali Zolghadri.Interval observers for continuous-time LPV systems with L1/L2 performance.Automatica,58:82-89,2015
[13]Gang Zheng,Denis Efimov,Wilfrid Perruquetti.Design of interval observer for a class of uncertain unobservable nonlinear systems.Automatica,63:167-174,2016
[14]F.Mazenc,T.N.Dinh,S.I.Niculescu.Robust interval observers and stabilization design for discrete-time systems with input and output.Automatica,49,3490-3497,2013
[15]F.Mazenc,T.N.Dinh.Construction of interval observers for continuous-time systems with discrete measurements.Automatica,50,10,2555-2560,2014
[16]F.Cacace,A.Germani,C.Manes.A new approach to design interval observer for linear systems.IEEE Trans.Autom.Control,60,6,1665-1670,2015
[17]Wang Yan,David M.Bevly,Rajesh Rajamani.Interval observer design for LPV systems with parametric uncertainty.Automatica,60:79-85,2015
[18]Zhongwei He,Wei Xie.Control of nonlinear switched systems with average dwell time:Interval observer-based framework.IET Control Theory and Applications,10,1,10-16,2016
[19]A.Germani,C.Manes,P.Palumbo.Representation of a class of MIMO systems via internally positive realization.European journal of control,16,3,291-304,2010
[20]M.A.Rml,F.Tadeo.Controller synthesis for Positive linear systems with bounded controls.IEEE Trans.On circuit and systems,54,2,151-155,2007
[21]H.L.Smith.Monotone Dynamical Systems:An Introduction to the Theory of Competitive and Cooperative Systems,volume 41 of Surveys and Monographs.Providence,R.I.:AMS,1995