A Novel Observer for Nonlinear Descriptor Jumping Systems with Communication time delay
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- 英文论文题名：A Novel Observer for Nonlinear Descriptor Jumping Systems with Communication time delay
- 论文作者：LAI Yongbo ; LU Guoping
- 英文论文作者：LAI Yongbo ; LU Guoping ; School of Mechanical and Engineering ; Jiangsu College of Information Technology
- 年：2017
- 作者机构：School of Mechanical and Engineering,Jiangsu College of Information Technology;
- 英文论文关键词：Nonlinear descriptor system ; Jumping system ; Observer ; Communication time delay ; LMIs
- 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：234k
- 原文格式：D
- 会议级别：全国
摘要
Observing and estimating system's states are the conditions to realize the effective control in the control and communication engineering field. In this paper for nonlinear descriptor jumping systems, proposed a novel observer, considered the nonlinear perturbation and network communication time-varying delay. A novel full-order delay dependent observer design method is developed by using system stability theorem and linear matrix inequalities(LMIs) techniques. The observer guarantees the estimated descriptor error jumping systems to be regular, impulse free and robustly mean-square exponentially stable. The proposed novel observer is more generality than those of last results in practice. Finally, two numerical examples are provided to simulate and show the validity of the proposed method.
Observing and estimating system's states are the conditions to realize the effective control in the control and communication engineering field. In this paper for nonlinear descriptor jumping systems, proposed a novel observer, considered the nonlinear perturbation and network communication time-varying delay. A novel full-order delay dependent observer design method is developed by using system stability theorem and linear matrix inequalities(LMIs) techniques. The observer guarantees the estimated descriptor error jumping systems to be regular, impulse free and robustly mean-square exponentially stable. The proposed novel observer is more generality than those of last results in practice. Finally, two numerical examples are provided to simulate and show the validity of the proposed method.
Observing and estimating system's states are the conditions to realize the effective control in the control and communication engineering field. In this paper for nonlinear descriptor jumping systems, proposed a novel observer, considered the nonlinear perturbation and network communication time-varying delay. A novel full-order delay dependent observer design method is developed by using system stability theorem and linear matrix inequalities(LMIs) techniques. The observer guarantees the estimated descriptor error jumping systems to be regular, impulse free and robustly mean-square exponentially stable. The proposed novel observer is more generality than those of last results in practice. Finally, two numerical examples are provided to simulate and show the validity of the proposed method.
引文
[1]Boukas E.K..Control of Singular Systems with Random Abrupt Changes[M].Berlin:Springer-Verlag,2008.
[2]Y.Zhang,P.Shi,S.K.Nguang,Observer-based finite-time H control for discrete singular stochastic systems[J].Applied Mathematics Letters,2014,38:115–121.
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[6]A.Marouane,D.Mohamed,Adaptive observers design for a class of linear descriptor systems[J].Automatica,2014,50:578–583.
[7]J.Aslund,E.Frisk,An observer for nonlinear differential-algebraic systems[J].Automatica,2006,42:959–965.
[8]R.Mickael,H.Habib,H.B.Naceur Ben,T.Didier,Observer-based fault tolerant control design for a class of LPV descriptor systems[J].Journal of the Franklin Institute,2014,351:3104–3125.
[9]J.X.Lin,Zh.F.Gao,Observers design for switched discrete-time singular time-delay systems with unknown inputs[J].Nonlinear Analysis:Hybrid Systems,2015,18:85–99.
[10]G.P.Lu,D.W.C.Ho,Full-order and reduced-order observers for Lipschitz descriptor systems:The unified LMI approach[J].IEEE Transactions on Circuits and Systems-II:Express Briefs,2006,53(7):241-247.
[11]Z.Gao,D.W.C.Ho,State/noise estimator for descriptor systems with application to sensor fault diagnosis[J].IEEE Transactions on Signal Processing,2006,54(4):1316–1326.
[12]M.Darouach,M.Zasadzinski,M.Hayar,Reduced-order observer design for descriptor systems with unknown inputs[J].IEEE Transactions on Automatic Control,1996,41(7):1068–1072.
[13]D.Koenig,Observer design for unknown input nonlinear descriptor systems via convex optimization[J].IEEE Transactions on Automatic Control,2006,51(6):1047–1052.
[14]D.Koenig,S.Mammar,Design of proportional-integral observer for unknown input descriptor systems[J].IEEE Transactions on Automatic Control,2002,47(12):2057–2062.
[15]H.Lama,A.Zemouche and Mohamed Boutayeb,H observers design for a class of nonlinear time-delay systems in descriptor form[J].International Journal of Control,2011,84(10):1653-1663.
[16]L.Zhou,G.P.Lu,Detection and stabilization for discrete-time descriptor system via a limited capacity communication channel[J].Automatica,2009,45(10):2272-2277.
[17]G.Wang,B.Li,Q.Zhang,Ch.Yang,Positive observer design for discrete-time positive system with missing data in output[J].Neurocomputing,2015,168,427–434.
[18]J.Feng,T.Wang,J.Guo,Recursive estimation for descriptor systems with multiple packet dropouts and correlated noises[J].Aerospace Science and Technology,2014,32:200-211.
[19]Wu Zhengguang,Su Hongye,Chu Jian.Delay-dependent H filtering for singular Markovian jump time-delay systems[J].Signal Process,2010,90(8):1815-1824.
[20]X.M.Zhang,G.P.Lu,Y.F.Zheng,Observer design for descriptor Markovian jumping systems with nonlinear perturbations[J].Circuits,Systems,and signal Processing,2008,27(1):95-112.
[2]Y.Zhang,P.Shi,S.K.Nguang,Observer-based finite-time H control for discrete singular stochastic systems[J].Applied Mathematics Letters,2014,38:115–121.
[3]D.Mohamed,Design of observers for descriptor systems[J].IEEE Transactions on Automatic Control,1995,40:1323–1327.
[4]M.Hou,P.C.Muller,Observer design for descriptor systems[J].IEEE Transactions on Automatic Control,1999,44(1):164–169.
[5]G.Zimmera,J.Meierb,On observing nonlinear descriptor systems[J].Systems&Control Letters,1997,32(1):43–48.
[6]A.Marouane,D.Mohamed,Adaptive observers design for a class of linear descriptor systems[J].Automatica,2014,50:578–583.
[7]J.Aslund,E.Frisk,An observer for nonlinear differential-algebraic systems[J].Automatica,2006,42:959–965.
[8]R.Mickael,H.Habib,H.B.Naceur Ben,T.Didier,Observer-based fault tolerant control design for a class of LPV descriptor systems[J].Journal of the Franklin Institute,2014,351:3104–3125.
[9]J.X.Lin,Zh.F.Gao,Observers design for switched discrete-time singular time-delay systems with unknown inputs[J].Nonlinear Analysis:Hybrid Systems,2015,18:85–99.
[10]G.P.Lu,D.W.C.Ho,Full-order and reduced-order observers for Lipschitz descriptor systems:The unified LMI approach[J].IEEE Transactions on Circuits and Systems-II:Express Briefs,2006,53(7):241-247.
[11]Z.Gao,D.W.C.Ho,State/noise estimator for descriptor systems with application to sensor fault diagnosis[J].IEEE Transactions on Signal Processing,2006,54(4):1316–1326.
[12]M.Darouach,M.Zasadzinski,M.Hayar,Reduced-order observer design for descriptor systems with unknown inputs[J].IEEE Transactions on Automatic Control,1996,41(7):1068–1072.
[13]D.Koenig,Observer design for unknown input nonlinear descriptor systems via convex optimization[J].IEEE Transactions on Automatic Control,2006,51(6):1047–1052.
[14]D.Koenig,S.Mammar,Design of proportional-integral observer for unknown input descriptor systems[J].IEEE Transactions on Automatic Control,2002,47(12):2057–2062.
[15]H.Lama,A.Zemouche and Mohamed Boutayeb,H observers design for a class of nonlinear time-delay systems in descriptor form[J].International Journal of Control,2011,84(10):1653-1663.
[16]L.Zhou,G.P.Lu,Detection and stabilization for discrete-time descriptor system via a limited capacity communication channel[J].Automatica,2009,45(10):2272-2277.
[17]G.Wang,B.Li,Q.Zhang,Ch.Yang,Positive observer design for discrete-time positive system with missing data in output[J].Neurocomputing,2015,168,427–434.
[18]J.Feng,T.Wang,J.Guo,Recursive estimation for descriptor systems with multiple packet dropouts and correlated noises[J].Aerospace Science and Technology,2014,32:200-211.
[19]Wu Zhengguang,Su Hongye,Chu Jian.Delay-dependent H filtering for singular Markovian jump time-delay systems[J].Signal Process,2010,90(8):1815-1824.
[20]X.M.Zhang,G.P.Lu,Y.F.Zheng,Observer design for descriptor Markovian jumping systems with nonlinear perturbations[J].Circuits,Systems,and signal Processing,2008,27(1):95-112.