Adaptive Almost Disturbance Decoupling for a Class of Uncertain Nonlinear Systems

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• 英文论文题名：Adaptive Almost Disturbance Decoupling for a Class of Uncertain Nonlinear Systems
• 论文作者：Cui-Hua Zhang ; Zhuo Wang ; Bing Cai ; Zong-Yao Sun ; Qing-Quan Tan
• 英文论文作者：Cui-Hua Zhang ; Zhuo Wang ; Bing Cai ; Zong-Yao Sun ; Qing-Quan Tan ; Institute of Automation ; Qufu Normal University ; School of Instrumentation Science and Optoelectronics Engineering ; Beihang University ; School of Electrical Information and Automation ; Qufu Normal University ; Earthquake Administration of Beijing Municipality
• 年：2017
• 作者机构：Institute of Automation,Qufu Normal University;School of Instrumentation Science and Optoelectronics Engineering,Beihang University;School of Electrical Information and Automation ,Qufu Normal University;Earthquake Administration of Beijing Municipality;
• 英文论文关键词：Adaptive almost disturbance decoupling ; High-order uncertain nonlinear systems ; Continuous domination
• 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：274k
• 原文格式：D
• 会议级别：全国

摘要

This paper investigates the problem of adaptive almost disturbance decoupling for a class of generalized high-order uncertain nonlinear systems. The control strategy is on the basis of continuous domination and delicate adaptive technique and the adaptive state-feedback controller is one-dimensional irrespective of the number of unknown parameters. An appropriate nonlinear function and transformation skill are introduced to mitigate the effects of external disturbances. As an application, an example is provided to illustrate the correctness of the theoretical results.
This paper investigates the problem of adaptive almost disturbance decoupling for a class of generalized high-order uncertain nonlinear systems. The control strategy is on the basis of continuous domination and delicate adaptive technique and the adaptive state-feedback controller is one-dimensional irrespective of the number of unknown parameters. An appropriate nonlinear function and transformation skill are introduced to mitigate the effects of external disturbances. As an application, an example is provided to illustrate the correctness of the theoretical results.

引文

[1]C.Qian and W.Lin,A continuous feedback approach to global strong stabilization of nonlinear systems,IEEE Trans.on Automatic Control,46(7):1061–1079,2001.
    [2]W.Lin and C.Qian,Adaptive control of nonlinearly parameterized systems:the smooth feedback case,IEEE Trans.on Automatic Control,47(8):1249–1266,2002.
    [3]Z.Sun,Z.Liu,and X.Zhang,New results on global stabilization for time-delay nonlinear systems with low-order and high-order growth conditions,International Journal of Robust and Nonlinear Control,25(6):878–899,2015.
    [4]W.Lin and C.Qian,Adaptive control of nonlinear parameterized systems:a nonsmooth feedback framework,IEEE Trans.on Automatic Control,47(5):757–774,2002.
    [5]L.Lv,Z.Sun,and X.Xie,Adaptive control for highorder time-delay uncertain nonlinear system and application to chemical reactor system,International Journal of Adaptive Control and Signal Processing,29(2):224-241,2015.
    [6]J.Polendo and 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.
    [7]Z.Sun and Y.Liu,Adaptive stabilisation for a large class of high-order uncertain non-linear systems,International Journal of control,82(7):1275–1287,2009.
    [8]W.Li,X.Xie and S.Zhang,Output-feedback stabilization of stochastic high-order nonlinear systems under weaker conditions,SIAM Journal on Control and Optimization,49(3):1262–1282,2011.
    [9]X.Zhang,Q.Liu,L.Baron and E.Boukas,Feedback stabilization for high order feedforward nonlinear time-delay systems,Automatica,47(5):962–967,2011.
    [10]Z.Sun,and Y.Liu,Adaptive state-feedback stabilization for a class of high-order nonlinear uncertain systems,Automatica,43(10):1772–1783,2007.
    [11]Y.Liu,Global finite-time stabilization via time-varying feedback for uncertain nonlinear systems,SIAM Journal on Control and Optimization,52(3):1886–1913,2014.
    [12]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.
    [13]Z.Sun,L.Xue and K.Zhang,A new approach to finite-time adaptive stabilization of high-order uncertain nonlinear system,Automatica,58(8):60–66,2015.
    [14]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.
    [15]J.Willems,Almost invariant subspaces:an approach to high gain feedback design?part I:almost controlled invariant subspaces,IEEE Trans.on Automatic Control,26(1):235–252,1981.
    [16]W.Lin,C.Qian and X.Huang,Disturbance attenuation of a class of non-linear systems via output feedback,International Journal of Robust and Nonlinear Control,13(15):1359–1369,2003.
    [17]R.Marino and P.Tomei,Nonlinear output feedback tracking with almost disturbance decoupling,IEEE Trans.on Automatic Control,44(1):18–28,1999.
    [18]H.Ito and Z.Jiang,Robust disturbance attenuation of nonlinear systems using output feedback and state-dependent scaling,Automatica,40(9):1621–1628,2004.
    [19]R.Marino and P.Tomei,Adaptive output feedback regulation with almost disturbance decoupling for nonlinearly parameterized systems,International Journal of Robust and Nonlinear Control,10(8):655–669,2000.
    [20]F.Shang and Y.Liu,Adaptive disturbance attenuation via output feedback for nonlinear systems with polynomial-of-output growth rate,International Journal of Control,87(3):600–611,2014.
    [21]C.Qian and W.Lin,Almost disturbance decoupling for a class of high-order nonlinear systems,IEEE Trans.on Automatic Control,45(6):1208–1214,2000.
    [22]J.Hale,Ordinary Differential Equations,John Wiley&Sons:New York,1980.
    [23]H.Khalil,Nonlinear Systems,New Jersey:Prentice Hall,2002.