Output Tracking for One-Dimensional Heat Equation subject to Boundary Control matched Disturbance
详细信息 查看官网全文
- 英文论文题名：Output Tracking for One-Dimensional Heat Equation subject to Boundary Control matched Disturbance
- 论文作者：Han-Wen Zhang ; Ling-Ling Zhang ; Jun-Jun Liu
- 英文论文作者：Han-Wen Zhang ; Ling-Ling Zhang ; Jun-Jun Liu ; Department of Mathematics ; Taiyuan University of Technology
- 年：2017
- 作者机构：Department of Mathematics,Taiyuan University of Technology;
- 英文论文关键词：Heat Equation ; Disturbance Rejection ; Performance Output Tracking
- 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：345k
- 原文格式：D
- 会议级别：全国
摘要
In this paper, we are concerned with the performance output reference signal tracking for a heat equation with matched boundary disturbance. Firstly, we construct a state reference trajectory system based on the reference signal, and prove this observer system is bounded. Secondly, we design a performance output tracking controller, which can make the performance output is tracking the reference signal and cancel the external disturbance. In addition, the controller can also ensure all the internal-loops are bounded. Finally, the reference state is tracked by the state of the system, and it has been proved by Lyapunov functional method.
In this paper, we are concerned with the performance output reference signal tracking for a heat equation with matched boundary disturbance. Firstly, we construct a state reference trajectory system based on the reference signal, and prove this observer system is bounded. Secondly, we design a performance output tracking controller, which can make the performance output is tracking the reference signal and cancel the external disturbance. In addition, the controller can also ensure all the internal-loops are bounded. Finally, the reference state is tracked by the state of the system, and it has been proved by Lyapunov functional method.
In this paper, we are concerned with the performance output reference signal tracking for a heat equation with matched boundary disturbance. Firstly, we construct a state reference trajectory system based on the reference signal, and prove this observer system is bounded. Secondly, we design a performance output tracking controller, which can make the performance output is tracking the reference signal and cancel the external disturbance. In addition, the controller can also ensure all the internal-loops are bounded. Finally, the reference state is tracked by the state of the system, and it has been proved by Lyapunov functional method.
引文
[1]F.M.Callier,and C.A.Desoer,Stabilization,tracking and disturbance rejection in multivariable conyolution systems,Soc.Sci.Bruxelles Ser.I,94:7-51,1980.
[2]E.Davision,The robust control of a servomechanism problem for linear time-invariant multivariable systems,IEEE Trans.Automat.Control,21:25-34,1976.
[3]B.Francis and W.Wonham,The internal model principle of control theory,Automatica,12:457-465,1976.
[4]A.Isidori and C.I.Byrnes,Output regulation of nonlinear systems,IEEE Trans.Automat.Control,35:131-140,1990.
[5]G.Chen,M.C.Delfour,A.M.Krall,and G.Payre,Modeling,stabilization and control of serially connected beam,SIAM J.Control Optim.,25:526-546,1987.
[6]C.Byrnes,I.Lauk’o,D.Giliam,and V.Shubov,Output regulation problem for linear distributed parameter systems,IEEETrans.Automat.Control,45:2236-2252,2000.
[7]W.Guo and B.Z.Guo,Parameter estimation and noncollocated adaptive stabilization for a wave equation subject to general boundary harmonic disturbance,IEEE Trans.Automat.Control,58:1631-1643,2013.
[8]Z.Q.Ke,H.Logemann and R.Rebarber,A sampled-data servomech-anism for stable well-posed systems,IEEE Trans.Automat.Control,54:1123-1127,2009.
[9]A.Pisano,Y.Orlov and E.Usai,Tracking control of the uncertain heat and wave equation via power-fractional and slidingmode techniques,SIAM J.Control Optim.,49:363-382,2011.
[10]R.Rebarber and G.Weiss,Internal model based tracking and disturbance rejection for stable well-posed systems,Automatica,39:1555-1569,2003.
[11]J.M.Wang,J.J.Liu,B.B.Ren and J.H.Chen,Sliding mode control to stabilization of cascaded heat PDE-ODE systems subject to boundary control matched disturbance,Automatica,52:23-34,2015.
[12]Y.L.Wei,J.B.Qiu,H.R.Karimi and M.Wang,Filtering design for two-dimensional Markovian jump systems with statedelays and deficient mode information,Inform.Sciences,269:316-331,2014.
[13]Y.L.Wei,J.B.Qiu,H.R.Karimi and M.Wang,Model approximation for two-dimensional Markovian jump systems with state-delays and imperfect mode information,Multidim.Syst.Sign.Process,26:575-597,2015.
[14]T.Wang,J.B.Qiu,S.Yin,H.J.Gao,J.L.Fan and T.Y.Chai,Performance-Based Adaptive Fuzzy Tracking Control for Networked Industrial Processes,IEEE Trans.Cybernetics,46:1760-1770,2016.
[15]T.Wang,H.J.Gao and J.B.Qiu,A Combined Adaptive Neural Network and Nonlinear Model Predictive Control for Multirate Networked Industrial Process Control,IEEE Trans.Neur.Net.Lear.,27:416-425,2016.
[16]T.Wang,H.J.Gao and J.B.Qiu,A Combined Fault-Tolerant and Predictive Control for Network-Based Industrial Processes,IEEE Trans.Ind.Electron.,63:2529-2536,2016.
[17]B.Z.Guo and J.J.Liu,Sliding mode control and active disturbance rejection control to the stabilization of one-dimensional Schr?dinger equation subject to boundary control matched disturbance,Internat.J.Robust Nonlinear Control,24:2194-2212,2014.
[18]B.Z.Guo and F.F.Jin,The active disturbance rejection and sliding mode control approach to the stabilization of EulerBernoulli beam equation with boundary input disturbance,Automatica,49:2911-2918,2013.
[19]F.F.Lewis,D.L.Vrabie and V.L.Syrmos,Optimal Control,3rd edition,Jhon Wiley Sons,Inc.,Hoboken,NJ,2012.
[20]W.Guo and B.Z.Guo,Performance output tracking for a wave equation subject to unmatched general boundary harmonic disturbance,Automatica,68:194-202,2016.
[21]J.J.Liu,and J.M.Wang,Active disturbance rejection control and sliding mode control of one-dimensional unstable heat equation with boundary uncertainties,IMA J.Math.Control Inform.,32:97-117,2015.
[22]A.Pazy,Semigroups of Linear Operators and Applications to Partial Differential Equations,New York:Springer-Verlag,1983.
[23]G.Weiss,Admissibility of unbounded control operators,SIAM J.Control Optim.,27:527-545,1989.
[24]F.F.Jin and B.Z.Guo,Lyapunov approach to output feedback stabilization for Euler-Bernoulli beam equation with boundary,Automatica,52:95-102,2015.
[2]E.Davision,The robust control of a servomechanism problem for linear time-invariant multivariable systems,IEEE Trans.Automat.Control,21:25-34,1976.
[3]B.Francis and W.Wonham,The internal model principle of control theory,Automatica,12:457-465,1976.
[4]A.Isidori and C.I.Byrnes,Output regulation of nonlinear systems,IEEE Trans.Automat.Control,35:131-140,1990.
[5]G.Chen,M.C.Delfour,A.M.Krall,and G.Payre,Modeling,stabilization and control of serially connected beam,SIAM J.Control Optim.,25:526-546,1987.
[6]C.Byrnes,I.Lauk’o,D.Giliam,and V.Shubov,Output regulation problem for linear distributed parameter systems,IEEETrans.Automat.Control,45:2236-2252,2000.
[7]W.Guo and B.Z.Guo,Parameter estimation and noncollocated adaptive stabilization for a wave equation subject to general boundary harmonic disturbance,IEEE Trans.Automat.Control,58:1631-1643,2013.
[8]Z.Q.Ke,H.Logemann and R.Rebarber,A sampled-data servomech-anism for stable well-posed systems,IEEE Trans.Automat.Control,54:1123-1127,2009.
[9]A.Pisano,Y.Orlov and E.Usai,Tracking control of the uncertain heat and wave equation via power-fractional and slidingmode techniques,SIAM J.Control Optim.,49:363-382,2011.
[10]R.Rebarber and G.Weiss,Internal model based tracking and disturbance rejection for stable well-posed systems,Automatica,39:1555-1569,2003.
[11]J.M.Wang,J.J.Liu,B.B.Ren and J.H.Chen,Sliding mode control to stabilization of cascaded heat PDE-ODE systems subject to boundary control matched disturbance,Automatica,52:23-34,2015.
[12]Y.L.Wei,J.B.Qiu,H.R.Karimi and M.Wang,Filtering design for two-dimensional Markovian jump systems with statedelays and deficient mode information,Inform.Sciences,269:316-331,2014.
[13]Y.L.Wei,J.B.Qiu,H.R.Karimi and M.Wang,Model approximation for two-dimensional Markovian jump systems with state-delays and imperfect mode information,Multidim.Syst.Sign.Process,26:575-597,2015.
[14]T.Wang,J.B.Qiu,S.Yin,H.J.Gao,J.L.Fan and T.Y.Chai,Performance-Based Adaptive Fuzzy Tracking Control for Networked Industrial Processes,IEEE Trans.Cybernetics,46:1760-1770,2016.
[15]T.Wang,H.J.Gao and J.B.Qiu,A Combined Adaptive Neural Network and Nonlinear Model Predictive Control for Multirate Networked Industrial Process Control,IEEE Trans.Neur.Net.Lear.,27:416-425,2016.
[16]T.Wang,H.J.Gao and J.B.Qiu,A Combined Fault-Tolerant and Predictive Control for Network-Based Industrial Processes,IEEE Trans.Ind.Electron.,63:2529-2536,2016.
[17]B.Z.Guo and J.J.Liu,Sliding mode control and active disturbance rejection control to the stabilization of one-dimensional Schr?dinger equation subject to boundary control matched disturbance,Internat.J.Robust Nonlinear Control,24:2194-2212,2014.
[18]B.Z.Guo and F.F.Jin,The active disturbance rejection and sliding mode control approach to the stabilization of EulerBernoulli beam equation with boundary input disturbance,Automatica,49:2911-2918,2013.
[19]F.F.Lewis,D.L.Vrabie and V.L.Syrmos,Optimal Control,3rd edition,Jhon Wiley Sons,Inc.,Hoboken,NJ,2012.
[20]W.Guo and B.Z.Guo,Performance output tracking for a wave equation subject to unmatched general boundary harmonic disturbance,Automatica,68:194-202,2016.
[21]J.J.Liu,and J.M.Wang,Active disturbance rejection control and sliding mode control of one-dimensional unstable heat equation with boundary uncertainties,IMA J.Math.Control Inform.,32:97-117,2015.
[22]A.Pazy,Semigroups of Linear Operators and Applications to Partial Differential Equations,New York:Springer-Verlag,1983.
[23]G.Weiss,Admissibility of unbounded control operators,SIAM J.Control Optim.,27:527-545,1989.
[24]F.F.Jin and B.Z.Guo,Lyapunov approach to output feedback stabilization for Euler-Bernoulli beam equation with boundary,Automatica,52:95-102,2015.