A New Approach to Practical Output Tracking Control for Switched Nonlinear Systems with Unstable Subsystems
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- 英文论文题名：A New Approach to Practical Output Tracking Control for Switched Nonlinear Systems with Unstable Subsystems
- 论文作者：Zhibao Song ; Zhengwei Zhu ; Junyong Zhai
- 英文论文作者：Zhibao Song ; Zhengwei Zhu ; Junyong Zhai ; School of Automation ; Southeast University ; School of Information Science and Engineering ; Changzhou University
- 年：2017
- 作者机构：School of Automation,Southeast University;School of Information Science and Engineering,Changzhou University;
- 英文论文关键词：Switched Nonlinear Systems ; Practical Output Tracking ; Dynamic Gain ; Single Lyapunov Function
- 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：224k
- 原文格式：D
- 会议级别：全国
摘要
This paper considers the practical output tracking problem for a class of switched uncertain nonlinear systems with unstable subsystems. A new approach combining the single Lyapunov function(SLF) method and a dynamic gain based strategy is first proposed. Then the dynamic controllers of individual subsystems and a proper switching law are constructed to guarantee that all the signals of the resulting closed-loop system are globally bounded while the tracking error between output and reference signal can be arbitrary small after a finite time. Finally, a numerical example is given to demonstrate the validity of the proposed control scheme.
This paper considers the practical output tracking problem for a class of switched uncertain nonlinear systems with unstable subsystems. A new approach combining the single Lyapunov function(SLF) method and a dynamic gain based strategy is first proposed. Then the dynamic controllers of individual subsystems and a proper switching law are constructed to guarantee that all the signals of the resulting closed-loop system are globally bounded while the tracking error between output and reference signal can be arbitrary small after a finite time. Finally, a numerical example is given to demonstrate the validity of the proposed control scheme.
This paper considers the practical output tracking problem for a class of switched uncertain nonlinear systems with unstable subsystems. A new approach combining the single Lyapunov function(SLF) method and a dynamic gain based strategy is first proposed. Then the dynamic controllers of individual subsystems and a proper switching law are constructed to guarantee that all the signals of the resulting closed-loop system are globally bounded while the tracking error between output and reference signal can be arbitrary small after a finite time. Finally, a numerical example is given to demonstrate the validity of the proposed control scheme.
引文
[1]C.Byrnes and D.Piscoli,A.Isidori,Output Regulation of Uncertain Nonlinear Systems,Boston:Birkh¨auser,1997.
[2]A.Isidori,Nonlinear Control Systems,New York:Springer,1999.
[3]C.Byrnes and A.Isidori,Output regulation for nonlinear system:An overview,International Journal of Robust and Nonlinear Control,2000,10(5):323–337.
[4]C.Qian and W.Lin,Practical output tracking of nonlinear systems with uncontrollable unstable linearization,IEEE Transactions on Automatic Control,2002,47(1):21–36.
[5]J.Zhai,B.Wang and S.Fei,Tracking control for switched nonlinear systems with multiple time-varying delays,Nonlinear Analysis:Hybrid Systems,2015,17(3):44–55.
[6]H.Wang,B.Chen and C.Lin,Adaptive neural tracking control for a class of stochastic nonlinear systems with unknown dead-zone,International Journal of Innovative Computing,Information and Control,2013,9(8):3257–3269.
[7]W.Dayawansa and C.Martin,A converse Lyapunov theorem for a class of dyanamic systems which undergo switching,IEEE Transactions on Automatic Control,1999,44(4):751–760.
[8]M.Branicky,Multiple Lyapunov functions and other analysis tools for switched and hybrid systems,IEEE Transactions on Automatic Control,1998,43(4):475–482.
[9]V.Gazi,Output regulation of a class of linear systems with switched exosystems,International Journal of Control,2007,80(10):1665–1675.
[10]X.Dong and J.Zhao,Output regulation for a class of switched nonlinear systems:An average dwell-time method,International Journal of Robust and Nonlinear Control,2013,23(4):439–449.
[11]D.Liberzon,Switching in Systems and Control,Boston:Birkh¨auser,2003.
[12]J.Wu,Stabilizing controllers design for switched nonlinear systems in strict-feedback form,Automatica,2009,45(4):1092–1096.
[13]L.Long and J.Zhao,Global stabilization of switched nonlinear systems in non-triangular form and its application,Journal of the Franklin Institute,2014,351(2):1161–1178.
[14]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,2011,84(10):1612–1626.
[15]J.Zhai,Z.Song,S.Fei and Z.Zhu,Global finite-time output feedback stabilisation for a class of switched high-order nonlinear systems,International Journal of Control,2017,http://dx.doi.org/10.1080/00207179.2016.1274429.
[16]L.Long and J.Zhao,Practical output tracking of switched nonlinear systems in p-normal form with unstable subsystems,International Journal of Systems Science,2016,47(11):2709–2721.
[17]W.Zha,C.Qian,J.Zhai,et al.,Dynamic linear controller design for a class of high-order nonlinear systems via statefeedback,54th IEEE Conference on Decision and Control,2015,3087–3092.
[2]A.Isidori,Nonlinear Control Systems,New York:Springer,1999.
[3]C.Byrnes and A.Isidori,Output regulation for nonlinear system:An overview,International Journal of Robust and Nonlinear Control,2000,10(5):323–337.
[4]C.Qian and W.Lin,Practical output tracking of nonlinear systems with uncontrollable unstable linearization,IEEE Transactions on Automatic Control,2002,47(1):21–36.
[5]J.Zhai,B.Wang and S.Fei,Tracking control for switched nonlinear systems with multiple time-varying delays,Nonlinear Analysis:Hybrid Systems,2015,17(3):44–55.
[6]H.Wang,B.Chen and C.Lin,Adaptive neural tracking control for a class of stochastic nonlinear systems with unknown dead-zone,International Journal of Innovative Computing,Information and Control,2013,9(8):3257–3269.
[7]W.Dayawansa and C.Martin,A converse Lyapunov theorem for a class of dyanamic systems which undergo switching,IEEE Transactions on Automatic Control,1999,44(4):751–760.
[8]M.Branicky,Multiple Lyapunov functions and other analysis tools for switched and hybrid systems,IEEE Transactions on Automatic Control,1998,43(4):475–482.
[9]V.Gazi,Output regulation of a class of linear systems with switched exosystems,International Journal of Control,2007,80(10):1665–1675.
[10]X.Dong and J.Zhao,Output regulation for a class of switched nonlinear systems:An average dwell-time method,International Journal of Robust and Nonlinear Control,2013,23(4):439–449.
[11]D.Liberzon,Switching in Systems and Control,Boston:Birkh¨auser,2003.
[12]J.Wu,Stabilizing controllers design for switched nonlinear systems in strict-feedback form,Automatica,2009,45(4):1092–1096.
[13]L.Long and J.Zhao,Global stabilization of switched nonlinear systems in non-triangular form and its application,Journal of the Franklin Institute,2014,351(2):1161–1178.
[14]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,2011,84(10):1612–1626.
[15]J.Zhai,Z.Song,S.Fei and Z.Zhu,Global finite-time output feedback stabilisation for a class of switched high-order nonlinear systems,International Journal of Control,2017,http://dx.doi.org/10.1080/00207179.2016.1274429.
[16]L.Long and J.Zhao,Practical output tracking of switched nonlinear systems in p-normal form with unstable subsystems,International Journal of Systems Science,2016,47(11):2709–2721.
[17]W.Zha,C.Qian,J.Zhai,et al.,Dynamic linear controller design for a class of high-order nonlinear systems via statefeedback,54th IEEE Conference on Decision and Control,2015,3087–3092.