Global stabilization of switched nonlinear systems under arbitrary switchings via smooth output feedback
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- 英文论文题名：Global stabilization of switched nonlinear systems under arbitrary switchings via smooth output feedback
- 论文作者：Xiangze Lin ; Xueling Li ; Chih-Chiang Chen ; Shihua Li
- 英文论文作者：Xiangze Lin ; Xueling Li ; Chih-Chiang Chen ; Shihua Li ; College of Engineering ; Nanjing Agricultural University ; School of Science ; China Pharmaceutical University ; Institute of Electrical Control Engineering ; Chiao Tung University ; School of Automation ; Southeast University
- 年：2017
- 作者机构：College of Engineering,Nanjing Agricultural University;School of Science,China Pharmaceutical University;Institute of Electrical Control Engineering,Chiao Tung University;School of Automation,Southeast University;
- 英文论文关键词：Switched nonlinear systems ; Smooth output feedback ; Global stabilization ; Arbitrary switchings
- 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：202k
- 原文格式：D
- 会议级别：全国
摘要
Global output feedback stabilization for a class of switched nonlinear systems is addressed. The tasks of finding a common Lyapunov function and designing state stabilizing feedback laws are solved simultaneously based on the adding a power integrator approach. Reduced-order compensators for the switched nonlinear system are constructed to estimate the unmeasurable states. Coupling the state feedback controllers with the developing nonlinear observers, global asymptotic stabilization of the switched nonlinear system under arbitrary switchings is achieved by the output feedback control.
Global output feedback stabilization for a class of switched nonlinear systems is addressed. The tasks of finding a common Lyapunov function and designing state stabilizing feedback laws are solved simultaneously based on the adding a power integrator approach. Reduced-order compensators for the switched nonlinear system are constructed to estimate the unmeasurable states. Coupling the state feedback controllers with the developing nonlinear observers, global asymptotic stabilization of the switched nonlinear system under arbitrary switchings is achieved by the output feedback control.
Global output feedback stabilization for a class of switched nonlinear systems is addressed. The tasks of finding a common Lyapunov function and designing state stabilizing feedback laws are solved simultaneously based on the adding a power integrator approach. Reduced-order compensators for the switched nonlinear system are constructed to estimate the unmeasurable states. Coupling the state feedback controllers with the developing nonlinear observers, global asymptotic stabilization of the switched nonlinear system under arbitrary switchings is achieved by the output feedback control.
引文
[1]M.S.Branicky.Multiple lyapunov functions and other analysis tools for switched and hybrid systems.IEEE Transactions on Automatic Control,43(4):475-482,1998.
[2]R.A.Decarlo,M.S.Branicky,S.Pettersson,and B.Lennartson.Perspectives and results on the stability and stabilizability of hybrid systems.Proceedings of IEEE,88(7):1069-1082,2000.
[3]N.H.El-Farra,P.Mhaskar,and P.D.Christofides.Output feedback control of switched nonliear systems using multiple lyapunov functions.Systems&Control Letters,54(12):1163-1182,2005.
[4]J.Fu,R.Ma,and T.Chai.Global finite-time stabilization of a class of switched nonlinear systems with the powers of positive odd rational numbers.Automatica,54(4):360-373,2015.
[5]T.Han,S.S.Ge,and H.T.Lee.Adaptive neural control for a class of switched nonlinear systems.Systems&Control Letters,58(2):109-118,2009.
[6]J.P.Hespanha.Uniform stability of switched linear systems:Extensions of lasalle’s invariance principles.IEEE Transaction on Automatic Control,49(4):470-482,2004.
[7]H.K.Khalil.Nonlinear systems.Macmillan Publishing Company,New York,1992.
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[10]D.Liberzon and R.Tempo.Common Lyapunov functions and gradient algorithms.IEEE Transaction on Automatic Control,49(6):990-994,2004.
[11]H.Lin and P.J.Antsaklis.Stability and stabilizability of switched linear systems:A survey on recent results.IEEETransaction on Automatic Control,54(2):308-322,2009.
[12]L.Long and J.Zhao.Global stabilisation of switched nonlinear systems in p-normal form with mixed odd and even powers.International Journal of Control,84(10):1612-1626,2011.
[13]L.Long and J.Zhao.H∞control of switched nonlinear systems in p-normal form using multiple lyapunov functions.IEEE Transactions on Automatic Control,57(5):1285-1291,2012.
[14]R.Ma,Y.Liu,S.Zhao,M.Wang,and G.Zong.Backstepping design for global stabilization of switched nonlinear systems in lower triangular form under arbitrary switchings.Automatica,46(11):1819-1823,2010.
[15]R.Ma,Y.Liu,S.Zhao,M.Wang,and G.Zong.Nonlinear adaptive control for power integrator triangular systems by switching linear controllers.International Journal of Robust and Nonlinear Control,25(14):2443-2460,2015.
[16]E.Mojica-Nava,N.Quijano,N.Rakoto-Ravalontsalama,and A.Gauthier.A polynomial approach for stability analysis of switched systems.Systems&Control Letters,59(2):98-104,2010.
[17]C.Qian and W.Lin.Smooth output feedback stabilization of planar systems without controllable/observable linearization.IEEE Transactions on Automatic Control,47(12):2068-2073,2002.
[18]C.Qian and W.Lin.Recursive observer design,homogeneous approximation,and nonsmooth output feedbackstabilization of nonlinear systems.IEEE Transactions on Automatic Control,51(9):1457-1471,2006.
[19]R.Shorten,F.Wirth,O.Mason,K.Wulff,and C.King.Stability criteria for switched and hybrid systems.SIAM Review,49(4):545-592,2007.
[20]Z.Sun and S.S.Ge.Switched linear systems:Control and design.New York:Springer-Verlag,2004.
[21]Z.Sun,T.Li,and S.Yang.A unified time-varying feedback approach and its applications in adaptive stabilization of highorder uncertain nonlinear systems.Automatica,70(8):249-257,2016.
[22]Z.Sun,L.Xue,and K.Zhang.A new approach to finitetime adaptive stabilization of high-order uncertain nonlinear system.Automatica,58(8):60-66,2015.
[23]J.L.Wu.Stabilizing controllers design for switched nonlinear systems in strict-feedback form.Automatica,45(4):1092-1096,2009.
[2]R.A.Decarlo,M.S.Branicky,S.Pettersson,and B.Lennartson.Perspectives and results on the stability and stabilizability of hybrid systems.Proceedings of IEEE,88(7):1069-1082,2000.
[3]N.H.El-Farra,P.Mhaskar,and P.D.Christofides.Output feedback control of switched nonliear systems using multiple lyapunov functions.Systems&Control Letters,54(12):1163-1182,2005.
[4]J.Fu,R.Ma,and T.Chai.Global finite-time stabilization of a class of switched nonlinear systems with the powers of positive odd rational numbers.Automatica,54(4):360-373,2015.
[5]T.Han,S.S.Ge,and H.T.Lee.Adaptive neural control for a class of switched nonlinear systems.Systems&Control Letters,58(2):109-118,2009.
[6]J.P.Hespanha.Uniform stability of switched linear systems:Extensions of lasalle’s invariance principles.IEEE Transaction on Automatic Control,49(4):470-482,2004.
[7]H.K.Khalil.Nonlinear systems.Macmillan Publishing Company,New York,1992.
[8]D.Liberzon.Switching in systems and control.Boston:Brikhauser,2003.
[9]D.Liberzon and A.S.Morse.Basic problems in stability and design of switched systems.IEEE Control Systems Magazine,19(5):59-70,1999.
[10]D.Liberzon and R.Tempo.Common Lyapunov functions and gradient algorithms.IEEE Transaction on Automatic Control,49(6):990-994,2004.
[11]H.Lin and P.J.Antsaklis.Stability and stabilizability of switched linear systems:A survey on recent results.IEEETransaction on Automatic Control,54(2):308-322,2009.
[12]L.Long and J.Zhao.Global stabilisation of switched nonlinear systems in p-normal form with mixed odd and even powers.International Journal of Control,84(10):1612-1626,2011.
[13]L.Long and J.Zhao.H∞control of switched nonlinear systems in p-normal form using multiple lyapunov functions.IEEE Transactions on Automatic Control,57(5):1285-1291,2012.
[14]R.Ma,Y.Liu,S.Zhao,M.Wang,and G.Zong.Backstepping design for global stabilization of switched nonlinear systems in lower triangular form under arbitrary switchings.Automatica,46(11):1819-1823,2010.
[15]R.Ma,Y.Liu,S.Zhao,M.Wang,and G.Zong.Nonlinear adaptive control for power integrator triangular systems by switching linear controllers.International Journal of Robust and Nonlinear Control,25(14):2443-2460,2015.
[16]E.Mojica-Nava,N.Quijano,N.Rakoto-Ravalontsalama,and A.Gauthier.A polynomial approach for stability analysis of switched systems.Systems&Control Letters,59(2):98-104,2010.
[17]C.Qian and W.Lin.Smooth output feedback stabilization of planar systems without controllable/observable linearization.IEEE Transactions on Automatic Control,47(12):2068-2073,2002.
[18]C.Qian and W.Lin.Recursive observer design,homogeneous approximation,and nonsmooth output feedbackstabilization of nonlinear systems.IEEE Transactions on Automatic Control,51(9):1457-1471,2006.
[19]R.Shorten,F.Wirth,O.Mason,K.Wulff,and C.King.Stability criteria for switched and hybrid systems.SIAM Review,49(4):545-592,2007.
[20]Z.Sun and S.S.Ge.Switched linear systems:Control and design.New York:Springer-Verlag,2004.
[21]Z.Sun,T.Li,and S.Yang.A unified time-varying feedback approach and its applications in adaptive stabilization of highorder uncertain nonlinear systems.Automatica,70(8):249-257,2016.
[22]Z.Sun,L.Xue,and K.Zhang.A new approach to finitetime adaptive stabilization of high-order uncertain nonlinear system.Automatica,58(8):60-66,2015.
[23]J.L.Wu.Stabilizing controllers design for switched nonlinear systems in strict-feedback form.Automatica,45(4):1092-1096,2009.