Finite Time Simultaneous Stabilization of Two Single Input Nonlinear Port-Controlled Hamiltonian Disturbed Systems
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- 英文论文题名：Finite Time Simultaneous Stabilization of Two Single Input Nonlinear Port-Controlled Hamiltonian Disturbed Systems
- 论文作者：Baozeng Fu ; Shihua Li ; Lei Guo ; Wei He
- 英文论文作者：Baozeng Fu ; Shihua Li ; Lei Guo ; Wei He ; School of Automation ; Southeast University ; Key Laboratory of Measurement and Control of CSE ; Ministry of Education ; School of Automation Science and Electrical Engineering ; Beihang University
- 年：2017
- 作者机构：School of Automation,Southeast University;Key Laboratory of Measurement and Control of CSE,Ministry of Education;School of Automation Science and Electrical Engineering,Beihang University;
- 英文论文关键词：Finite time simultaneous stabilization ; PCH systems ; Disturbances ; FTDO ; Simultaneous stabilization controller
- 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：539k
- 原文格式：D
- 会议级别：全国
摘要
This paper presents a novel approach for designing a composite controller that finite time simultaneously stabilizes two single input nonlinear Port-Controlled Hamiltonian(PCH) systems under disturbances. Firstly, using a single output feedback,two PCH systems are combined to generate an augmented PCH system based on the Hamiltonian structure properties. Then, a finite time disturbance observer(FTDO) is introduced to estimate disturbances and the estimation of disturbances is employed to feedforward compensate the disturbances. Next, a composite simultaneous stabilization controller is developed by combining the single output feedback, the FTDO and the finite time control techniques together. Finally, finite time stability analysis for the augmented PCH system is given. An example with simulations illustrates the effectiveness of the proposed method.
This paper presents a novel approach for designing a composite controller that finite time simultaneously stabilizes two single input nonlinear Port-Controlled Hamiltonian(PCH) systems under disturbances. Firstly, using a single output feedback,two PCH systems are combined to generate an augmented PCH system based on the Hamiltonian structure properties. Then, a finite time disturbance observer(FTDO) is introduced to estimate disturbances and the estimation of disturbances is employed to feedforward compensate the disturbances. Next, a composite simultaneous stabilization controller is developed by combining the single output feedback, the FTDO and the finite time control techniques together. Finally, finite time stability analysis for the augmented PCH system is given. An example with simulations illustrates the effectiveness of the proposed method.
This paper presents a novel approach for designing a composite controller that finite time simultaneously stabilizes two single input nonlinear Port-Controlled Hamiltonian(PCH) systems under disturbances. Firstly, using a single output feedback,two PCH systems are combined to generate an augmented PCH system based on the Hamiltonian structure properties. Then, a finite time disturbance observer(FTDO) is introduced to estimate disturbances and the estimation of disturbances is employed to feedforward compensate the disturbances. Next, a composite simultaneous stabilization controller is developed by combining the single output feedback, the FTDO and the finite time control techniques together. Finally, finite time stability analysis for the augmented PCH system is given. An example with simulations illustrates the effectiveness of the proposed method.
引文
[1]W.Chen,J.Yang,L.Guo and S.Li,Disturbance observerbased control and related methods:an overview,IEEE Trans.Ind.Electron.,63(2):1083-1095,2016.
[2]M.Dalsmo and A.Vander Schaft,On representations and integrability of mathematical structures in energy-conserving physical systems,SIAM J.Control Optim.,37(1):54-91,1998.
[3]K.Fujimoto,K.Sakurama and T.Sugie,Trajectory tracking control of port-controlled Hamiltonian systems via generalized canonical transformations,Automatica,39(12):2059-2069,2003.
[4]L.Guo and S.Cao,Anti-disturbance control for systems with multiple disturbances,CRC Press,2013.
[5]L.Guo and S.Cao,Anti-disturbance control theory for systems with multiple disturbances:A survey,ISA Trans.,53(4):846-849,2014.
[6]L.Guo and W.Chen,Disturbance attenuation and rejection for systems with nonlinearity via DOBC approach,Int.J.Robust Nonlin.Control,15(3):109-125,2005.
[7]Y.Hong and Z.Jiang,Finite-time stabilization of nonlinear systems with parametric and dynamic uncertainties,IEEE Trans.Autom.Control,51(12):1950-1956,2006.
[8]Q.Lan,S.Li,S.Khoo and P.Shi,Global finite-time stabilization for a class of stochastic nonlinear systems by output feedback,Int.J.Control,88(3):494-506,2015.
[9]A.Levant,Higher-order sliding modes,differentiation and output feedback control,Int.J.Control,76(9-10):924-941,2003.
[10]S.Li,H.Sun,J.Yang and X.Yu,Continuous finite-time output regulation for disturbed systems under mismatching condition,IEEE Trans.Autom.Control,60(1):277-282,2015.
[11]S.Li and Y.Tian,Finite-time stability of cascaded timevarying systems,Int.J.Control,80(4):646-657,2007.
[12]S.Li,J.Yang,W.Chen and X.Chen,Generalized extended state observer based control for systems with mismatched uncertainties,IEEE Trans.Ind.Electron.,59(12):4792-4802,2012.
[13]B.Maschke and A.Vander Schaft,Port-controlled Hamiltonian systems:Modeling origins and system theoretic properties,Proc.the IFAC symposium Nonlin.Control Syst.Design,Bordeaux,France,282-288,1992.
[14]D.Miller and T.Chen,Simultaneous stabilization with near-optimal H∞performance,IEEE Trans.Autom.Control,47(12):1986-1998,2002.
[15]R.Ortega,M.Galaz,A.Astolfi,Y.Sun and T.Shen,Transient stabilization of multimachine power systems with nontrivial transfer conductances,IEEE Trans.Autom.Control,50(1):60-75,2005.
[16]R.Ortega,A.Vander Schaft,B.Maschke and G.Escobar,Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems,Automatica,38(4):585-596,2002.
[17]W.Schmitendorf and C.Hollot,Simultaneous stabilization via linear state feedback control,IEEE Trans.Autom.Control,34(9):1001-1005,1989.
[18]T.Shen,S.Mei,Q.Lu,W.Hu and K.Tamura,Adaptive nonlinear excitation control with L2 disturbance for power systems,Automatica,39(1):81-89,2003.
[19]H.Sun and L.Guo,Composite adaptive disturbance observer based control and back-stepping method for nonlinear system with multiple mismatched disturbances,J.Franklin Inst.,351(2):1027-1041,2014.
[20]L.Sun,G.Feng and Y.Wang,Finite-time stabilization and H∞control for a class of nonlinear Hamiltonian descriptor systems with application to affine nonlinear descriptor systems,Automatica,50(8):2090-2097,2014.
[21]W.Sun and B.Fu,Adaptive control of time-varying uncertain non-linear systems with input delay:a Hamiltonian approach,IET Control Theory Appl.,10(15):1844-1858,2016.
[22]A.Vander Schaft and B.Maschke,The Hamiltonian formulation of energy conserving physical systems with external ports,Archive fr Elektronik und bertragungstechnik,49:362-371,1995.
[23]Y.Wang,Generalized Hamiltonian Control Systems TheoryRealization,Control and Applications(in Chinese),Beijing:Science Press,2007.
[24]Y.Wang,D.Cheng,C.Li and Y.Ge,Dissipative Hamiltonian realization and energy-based L2-disturbance attenuation control of multimachine power systems,IEEE Trans.Autom.Control,48(8):1428-1433,2003.
[25]Y.Wang and G.Feng,Finite-time stabilization of Portcontrolled Hamiltonian systems with application to nonlinear affine systems,Proc.Amer.Control Conf.,1202-1207,2008.
[26]Y.Wang,G.Feng and D.Cheng,Simultaneous stabilization of a set of nonlinear port-controlled Hamiltonian systems,Automatica,43(3):403-415,2007.
[27]J.Wu,Simultaneous stabilization for a collection of single input nonlinear systems,IEEE Trans.Autom.Control,50(3):328-337,2005.
[28]J.Yang,S.Li,J.Su and X.Yu,Continuous nonsingular terminal sliding mode control for systems with mismatched disturbances,Automatica,49(7):2287-2291,2013.
[29]J.Yang,S.Li and X.Yu,Sliding-mode control for systems with mismatched uncertainties via a disturbance observer,IEEE Trans.Ind.Electron.,60(1):160-169,2013.
[2]M.Dalsmo and A.Vander Schaft,On representations and integrability of mathematical structures in energy-conserving physical systems,SIAM J.Control Optim.,37(1):54-91,1998.
[3]K.Fujimoto,K.Sakurama and T.Sugie,Trajectory tracking control of port-controlled Hamiltonian systems via generalized canonical transformations,Automatica,39(12):2059-2069,2003.
[4]L.Guo and S.Cao,Anti-disturbance control for systems with multiple disturbances,CRC Press,2013.
[5]L.Guo and S.Cao,Anti-disturbance control theory for systems with multiple disturbances:A survey,ISA Trans.,53(4):846-849,2014.
[6]L.Guo and W.Chen,Disturbance attenuation and rejection for systems with nonlinearity via DOBC approach,Int.J.Robust Nonlin.Control,15(3):109-125,2005.
[7]Y.Hong and Z.Jiang,Finite-time stabilization of nonlinear systems with parametric and dynamic uncertainties,IEEE Trans.Autom.Control,51(12):1950-1956,2006.
[8]Q.Lan,S.Li,S.Khoo and P.Shi,Global finite-time stabilization for a class of stochastic nonlinear systems by output feedback,Int.J.Control,88(3):494-506,2015.
[9]A.Levant,Higher-order sliding modes,differentiation and output feedback control,Int.J.Control,76(9-10):924-941,2003.
[10]S.Li,H.Sun,J.Yang and X.Yu,Continuous finite-time output regulation for disturbed systems under mismatching condition,IEEE Trans.Autom.Control,60(1):277-282,2015.
[11]S.Li and Y.Tian,Finite-time stability of cascaded timevarying systems,Int.J.Control,80(4):646-657,2007.
[12]S.Li,J.Yang,W.Chen and X.Chen,Generalized extended state observer based control for systems with mismatched uncertainties,IEEE Trans.Ind.Electron.,59(12):4792-4802,2012.
[13]B.Maschke and A.Vander Schaft,Port-controlled Hamiltonian systems:Modeling origins and system theoretic properties,Proc.the IFAC symposium Nonlin.Control Syst.Design,Bordeaux,France,282-288,1992.
[14]D.Miller and T.Chen,Simultaneous stabilization with near-optimal H∞performance,IEEE Trans.Autom.Control,47(12):1986-1998,2002.
[15]R.Ortega,M.Galaz,A.Astolfi,Y.Sun and T.Shen,Transient stabilization of multimachine power systems with nontrivial transfer conductances,IEEE Trans.Autom.Control,50(1):60-75,2005.
[16]R.Ortega,A.Vander Schaft,B.Maschke and G.Escobar,Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems,Automatica,38(4):585-596,2002.
[17]W.Schmitendorf and C.Hollot,Simultaneous stabilization via linear state feedback control,IEEE Trans.Autom.Control,34(9):1001-1005,1989.
[18]T.Shen,S.Mei,Q.Lu,W.Hu and K.Tamura,Adaptive nonlinear excitation control with L2 disturbance for power systems,Automatica,39(1):81-89,2003.
[19]H.Sun and L.Guo,Composite adaptive disturbance observer based control and back-stepping method for nonlinear system with multiple mismatched disturbances,J.Franklin Inst.,351(2):1027-1041,2014.
[20]L.Sun,G.Feng and Y.Wang,Finite-time stabilization and H∞control for a class of nonlinear Hamiltonian descriptor systems with application to affine nonlinear descriptor systems,Automatica,50(8):2090-2097,2014.
[21]W.Sun and B.Fu,Adaptive control of time-varying uncertain non-linear systems with input delay:a Hamiltonian approach,IET Control Theory Appl.,10(15):1844-1858,2016.
[22]A.Vander Schaft and B.Maschke,The Hamiltonian formulation of energy conserving physical systems with external ports,Archive fr Elektronik und bertragungstechnik,49:362-371,1995.
[23]Y.Wang,Generalized Hamiltonian Control Systems TheoryRealization,Control and Applications(in Chinese),Beijing:Science Press,2007.
[24]Y.Wang,D.Cheng,C.Li and Y.Ge,Dissipative Hamiltonian realization and energy-based L2-disturbance attenuation control of multimachine power systems,IEEE Trans.Autom.Control,48(8):1428-1433,2003.
[25]Y.Wang and G.Feng,Finite-time stabilization of Portcontrolled Hamiltonian systems with application to nonlinear affine systems,Proc.Amer.Control Conf.,1202-1207,2008.
[26]Y.Wang,G.Feng and D.Cheng,Simultaneous stabilization of a set of nonlinear port-controlled Hamiltonian systems,Automatica,43(3):403-415,2007.
[27]J.Wu,Simultaneous stabilization for a collection of single input nonlinear systems,IEEE Trans.Autom.Control,50(3):328-337,2005.
[28]J.Yang,S.Li,J.Su and X.Yu,Continuous nonsingular terminal sliding mode control for systems with mismatched disturbances,Automatica,49(7):2287-2291,2013.
[29]J.Yang,S.Li and X.Yu,Sliding-mode control for systems with mismatched uncertainties via a disturbance observer,IEEE Trans.Ind.Electron.,60(1):160-169,2013.