Semiglobal Finite-time Stabilization via Output-feedback for a Class of High-order Uncertain Nonlinear Systems
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- 英文论文题名：Semiglobal Finite-time Stabilization via Output-feedback for a Class of High-order Uncertain Nonlinear Systems
- 论文作者：Mengliang Liu ; Wei Feng
- 英文论文作者：Mengliang Liu ; Wei Feng ; School of Information Science and Engineering ; Shandong Agricultural University
- 年：2017
- 作者机构：School of Information Science and Engineering,Shandong Agricultural University;
- 英文论文关键词：Nonlinear Systems ; Unknown Control Coefficients ; Semiglobal Finite-time Stabilization ; Output-feedback
- 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：7
- 文件大小：258k
- 原文格式：D
- 会议级别：全国
摘要
This paper is devoted to the semiglobal finite-time stabilization via output-feedback for a class of high-order uncertain nonlinear systems. This problem can hardly be solved by the existing schemes, mainly since the systems under investigation contain unknown control coefficients which are dominated by the known functions of system states, and possess more serious nonlinearities which allow arbitrary-high-order growing unmeasurable states. However, for the global case, the system unknown control coefficients should be dominated by the known functions of output and the system nonlinearities merely allow homogeneous-order growing unmeasurable states, and therefore our semiglobal objective significantly weakens the restrictions on the control coefficients and the nonlinearities of the systems. In this paper, with the assumption that all the system states are available for feedback, a state-feedback controller is first constructed by adding a power integrator, which ensures that the closedloop system is globally finite-time stable. Then, by certainty equivalence principle and saturation technique, an output-feedback controller is successfully constructed, which makes the closed-loop system semiglobal attractive and local finite-time stable. A simulation example is presented to illustrate the effectiveness of the proposed method.
This paper is devoted to the semiglobal finite-time stabilization via output-feedback for a class of high-order uncertain nonlinear systems. This problem can hardly be solved by the existing schemes, mainly since the systems under investigation contain unknown control coefficients which are dominated by the known functions of system states, and possess more serious nonlinearities which allow arbitrary-high-order growing unmeasurable states. However, for the global case, the system unknown control coefficients should be dominated by the known functions of output and the system nonlinearities merely allow homogeneous-order growing unmeasurable states, and therefore our semiglobal objective significantly weakens the restrictions on the control coefficients and the nonlinearities of the systems. In this paper, with the assumption that all the system states are available for feedback, a state-feedback controller is first constructed by adding a power integrator, which ensures that the closedloop system is globally finite-time stable. Then, by certainty equivalence principle and saturation technique, an output-feedback controller is successfully constructed, which makes the closed-loop system semiglobal attractive and local finite-time stable. A simulation example is presented to illustrate the effectiveness of the proposed method.
This paper is devoted to the semiglobal finite-time stabilization via output-feedback for a class of high-order uncertain nonlinear systems. This problem can hardly be solved by the existing schemes, mainly since the systems under investigation contain unknown control coefficients which are dominated by the known functions of system states, and possess more serious nonlinearities which allow arbitrary-high-order growing unmeasurable states. However, for the global case, the system unknown control coefficients should be dominated by the known functions of output and the system nonlinearities merely allow homogeneous-order growing unmeasurable states, and therefore our semiglobal objective significantly weakens the restrictions on the control coefficients and the nonlinearities of the systems. In this paper, with the assumption that all the system states are available for feedback, a state-feedback controller is first constructed by adding a power integrator, which ensures that the closedloop system is globally finite-time stable. Then, by certainty equivalence principle and saturation technique, an output-feedback controller is successfully constructed, which makes the closed-loop system semiglobal attractive and local finite-time stable. A simulation example is presented to illustrate the effectiveness of the proposed method.
引文
[1]Y.Hong,J.Huang and Y.Xu,On an output feedback finitetime stabilization problem.IEEE Transactions on Automatic Control,2001,46(2):305–309.
[2]X.Huang,W.Lin,B.Yang.Global finite-time stabilization of a class of uncertain nonlinear systems.Automatica,2005,41(5):881–888.
[3]J.Li and C.Qian,Global finite-time stabilization by dynamic output feedback for a class of continuous nonlinear systems.IEEE Transactions on Automatic Control,51(5):879–884,2006.
[4]J.Polendo,C.Qian.A generalized homogeneous domination approach for global stabilization of inherently nonlinear systems via output feedback.International Journal of Robust and Nonlinear Control,17(7):605–629,2007.
[5]J.Li,C.Qian,S.Ding.Global finite-time stabilisation by output feedback for a class of uncertain nonlinear systems.International Journal of Control,83(11):2241–2252,2010.
[6]R.Jia,C.Qian,J.Zhai.Semi-global stabilisation of uncertain nonlinear systems by homogeneous output feedback controllers.IET Control Theory&Applications,6(1):165–172,2012.
[7]R.Jia,C.Qian,M.Jamshidi.Semi-global finite-time stabilization via output feedback of planar nonlinear systems with application to MPPT in photovoltaic systems.International Journal of Automation and Control,6(2):140–156,2012.
[8]J.Zhai,W.Zha,S.Fei.Semi-global finite-time output feedback stabilization for a class of large-scale uncertain nonlinear systems.Communications in Nonlinear Science and Numerical Simulation,18(11):3181–3189,2013.
[9]A.Teel,L.Praly.Tools for semiglobal stabilization by partial state and output feedback.SIAM Journal on Control and Optimization,33(5):1443–1488,1995.
[10]H.K.Khalil,F.Esfandiari.Semiglobal stabilization of a class of nonlinear systems using output feedback.IEEE Transactions on Automatic Control,38(9):1412–1415,1993.
[11]Y.Hong.Finite-time stabilization and stabilizability of a class of controllable systems.Systems&Control Letters,46(4):231–236,2002.
[12]C.Qian,W.Lin.Recursive observer design,homogeneous approximation,and nonsmooth output feedback stabilization of nonlinear systems.IEEE Transactions on Automatic Control,51(9):1457–1471,2006.
[13]F.Shang,Y.Liu.Adaptive output-feedback stabilization for a class of uncertain nonlinear systems.Acta Automatica Sinica,36(1):92–100,2010.
[14]M.Liu,Y.Liu.Semiglobal stabilization via output-feedback for a class of uncertain nonlinear Systems.Acta Automatica Sinica,39(12):2154–2159,2013.
[15]P.Krishnamurthy,F.Khorrami.High-gain output-feedback control for nonlinear systems based on multiple time scaling.Systems&control letters,56(1):7–15,2007.
[16]B.Yang,W.Lin.Semi-global stabilization of nonlinear systems by nonsmooth output feedback.International Journal of Robust and Nonlinear Control,24(16):2522–2545,2014.
[17]C.Qian,W.Lin.A continuous feedback approach to global strong stabilization of nonlinear systems.IEEE Transactions on Automatic Control,46(7):1061–1079,2001.
[2]X.Huang,W.Lin,B.Yang.Global finite-time stabilization of a class of uncertain nonlinear systems.Automatica,2005,41(5):881–888.
[3]J.Li and C.Qian,Global finite-time stabilization by dynamic output feedback for a class of continuous nonlinear systems.IEEE Transactions on Automatic Control,51(5):879–884,2006.
[4]J.Polendo,C.Qian.A generalized homogeneous domination approach for global stabilization of inherently nonlinear systems via output feedback.International Journal of Robust and Nonlinear Control,17(7):605–629,2007.
[5]J.Li,C.Qian,S.Ding.Global finite-time stabilisation by output feedback for a class of uncertain nonlinear systems.International Journal of Control,83(11):2241–2252,2010.
[6]R.Jia,C.Qian,J.Zhai.Semi-global stabilisation of uncertain nonlinear systems by homogeneous output feedback controllers.IET Control Theory&Applications,6(1):165–172,2012.
[7]R.Jia,C.Qian,M.Jamshidi.Semi-global finite-time stabilization via output feedback of planar nonlinear systems with application to MPPT in photovoltaic systems.International Journal of Automation and Control,6(2):140–156,2012.
[8]J.Zhai,W.Zha,S.Fei.Semi-global finite-time output feedback stabilization for a class of large-scale uncertain nonlinear systems.Communications in Nonlinear Science and Numerical Simulation,18(11):3181–3189,2013.
[9]A.Teel,L.Praly.Tools for semiglobal stabilization by partial state and output feedback.SIAM Journal on Control and Optimization,33(5):1443–1488,1995.
[10]H.K.Khalil,F.Esfandiari.Semiglobal stabilization of a class of nonlinear systems using output feedback.IEEE Transactions on Automatic Control,38(9):1412–1415,1993.
[11]Y.Hong.Finite-time stabilization and stabilizability of a class of controllable systems.Systems&Control Letters,46(4):231–236,2002.
[12]C.Qian,W.Lin.Recursive observer design,homogeneous approximation,and nonsmooth output feedback stabilization of nonlinear systems.IEEE Transactions on Automatic Control,51(9):1457–1471,2006.
[13]F.Shang,Y.Liu.Adaptive output-feedback stabilization for a class of uncertain nonlinear systems.Acta Automatica Sinica,36(1):92–100,2010.
[14]M.Liu,Y.Liu.Semiglobal stabilization via output-feedback for a class of uncertain nonlinear Systems.Acta Automatica Sinica,39(12):2154–2159,2013.
[15]P.Krishnamurthy,F.Khorrami.High-gain output-feedback control for nonlinear systems based on multiple time scaling.Systems&control letters,56(1):7–15,2007.
[16]B.Yang,W.Lin.Semi-global stabilization of nonlinear systems by nonsmooth output feedback.International Journal of Robust and Nonlinear Control,24(16):2522–2545,2014.
[17]C.Qian,W.Lin.A continuous feedback approach to global strong stabilization of nonlinear systems.IEEE Transactions on Automatic Control,46(7):1061–1079,2001.