Robust Tracking Control of Nonlinear Singularly Perturbed Systems
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- 英文论文题名：Robust Tracking Control of Nonlinear Singularly Perturbed Systems
- 论文作者：Jing Xu ; Yugang Niu
- 英文论文作者：Jing Xu ; Yugang Niu ; the Key Laboratory of Advanced Control and Optimization for Chemical Process (East China University of Science and Technology) ; Ministry of Education
- 年：2017
- 作者机构：the Key Laboratory of Advanced Control and Optimization for Chemical Process (East China University of Science and Technology),Ministry of Education;
- 英文论文关键词：Self-scheduled ; Tracking control ; Singularly perturbed systems ; Robust control
- 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：TP13
- 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：213k
- 原文格式：D
- 会议级别：全国
摘要
This paper presents a robust control scheme for the tracking control of singularly perturbed uncertain systems. The design problem is divided into two parts: tracking the reference trajectory and enhancing the robustness of the dynamic systems.By using the time-scale techniques, dynamic inversion approach and linear parameter-varying methods, a set of singularly perturbed state feedback controllers are employed to enhance the tracking performance and robustness of a dynamic system against parameter uncertainties, actuator and sensor unmodelled dynamics, and external disturbances. The longitudinal control of an F16 aircraft model is included to show the merits and and effectiveness of the proposed design scheme.
This paper presents a robust control scheme for the tracking control of singularly perturbed uncertain systems. The design problem is divided into two parts: tracking the reference trajectory and enhancing the robustness of the dynamic systems.By using the time-scale techniques, dynamic inversion approach and linear parameter-varying methods, a set of singularly perturbed state feedback controllers are employed to enhance the tracking performance and robustness of a dynamic system against parameter uncertainties, actuator and sensor unmodelled dynamics, and external disturbances. The longitudinal control of an F16 aircraft model is included to show the merits and and effectiveness of the proposed design scheme.
This paper presents a robust control scheme for the tracking control of singularly perturbed uncertain systems. The design problem is divided into two parts: tracking the reference trajectory and enhancing the robustness of the dynamic systems.By using the time-scale techniques, dynamic inversion approach and linear parameter-varying methods, a set of singularly perturbed state feedback controllers are employed to enhance the tracking performance and robustness of a dynamic system against parameter uncertainties, actuator and sensor unmodelled dynamics, and external disturbances. The longitudinal control of an F16 aircraft model is included to show the merits and and effectiveness of the proposed design scheme.
引文
[1]P.V.Kokotovic,J.O’Reilly,and H.K.Khalil,Singular Perturbation Methods in Control:Analysis and Design,Academic Press,Inc.,Orlando,FL,USA,1986.
[2]J.Xu,C.Cai,Y.Zou and C.C.Lim,Mixed output feedback of the finite frequency H∞control of singularly perturbed system,International Journal of Systems Science,46(13):2351-2366,2015.
[3]J.Xu,C.Cai,G.Cai and Y.Zou,Robust H∞control for miniature unmanned aerial vehicles at hover by the finite frequency strategy,IET Control Theory&Applications,10(2):190-200,2016.
[4]P.Shi and V.Dragan,Asymptotic H∞control of singularly perturbed systems with parametric uncertainties,IEEE Transactions on Automatic Control,44(9):1738-1742,1999.
[5]V.Dragan,H.Mukaidani and P.Shi,The linear quadratic regulator problem for a class of controlled systems modeled by singularly perturbed Ito differential equations,SIAM J.on Control and Optimization,50(1):448-470,2012.
[6]P.Apkarian and R.J.Adams,Advanced gain-scheduling techniques for uncertain systems,IEEE Transactions on Control Systems Technology,6(1):21-32,1998.
[7]B.Lu,F.Wu,and S.Kim,Switching LPV control of an F-16aircraft via controller state reset,IEEE Transactions on Control Systems Technology,14(2):267–277,2006.
[8]S.Seshagiri and E.Promtun,Sliding mode control of F-16longitudinal dynamics,In Proceedings of the 2008 American Control Conference,Seattle,WA,USA,2008:1770-1775.
[9]S.A.Snell,D.F.Nns,and W.L.Arrard,Nonlinear inversion flight control for a supermaneuverable aircraft,Journal of Guidance,Control,and Dynamics,15(4):976-984,1992.
[10]J.M.Buffington,A.G.Sparks,and S.S.Banda,Robust longitudinal axis flight control for an aircraft with thrust vectoring,Automatica,30(10),1994:1527–1540.
[11]T.Iwasaki and S.Hara,Robust control synthesis with general frequency domain specifications:static gain feedback case,In Proceedings of the 2004 American Control Conference,Boston,MA,USA,5:4613–4618,2004.
[12]E.A.Morelli,Global nonlinear parametric modelling with application to F-16 aerodynamics,In Proceedings of the 1998American Control Conference,Philadelphia,PA,USA,2:997–1001,1998.
[13]L.Nguyen,M.Ogburn,W.Gilbert,K.Kibler,P.Brown,and P.Deal,Simulator study of stall/post-stall characteristics of a fighter airplane with relaxed longitudinal static stability(F-16),NASA TP 1538,1979.
[14]J.Xu,K.Lum,and A.Loh,A gain-varying UIO approach with adaptive threshold for FDI of nonlinear F16 systems,Journal of Control Theory and Applications,8(3):317-325,2010.
[2]J.Xu,C.Cai,Y.Zou and C.C.Lim,Mixed output feedback of the finite frequency H∞control of singularly perturbed system,International Journal of Systems Science,46(13):2351-2366,2015.
[3]J.Xu,C.Cai,G.Cai and Y.Zou,Robust H∞control for miniature unmanned aerial vehicles at hover by the finite frequency strategy,IET Control Theory&Applications,10(2):190-200,2016.
[4]P.Shi and V.Dragan,Asymptotic H∞control of singularly perturbed systems with parametric uncertainties,IEEE Transactions on Automatic Control,44(9):1738-1742,1999.
[5]V.Dragan,H.Mukaidani and P.Shi,The linear quadratic regulator problem for a class of controlled systems modeled by singularly perturbed Ito differential equations,SIAM J.on Control and Optimization,50(1):448-470,2012.
[6]P.Apkarian and R.J.Adams,Advanced gain-scheduling techniques for uncertain systems,IEEE Transactions on Control Systems Technology,6(1):21-32,1998.
[7]B.Lu,F.Wu,and S.Kim,Switching LPV control of an F-16aircraft via controller state reset,IEEE Transactions on Control Systems Technology,14(2):267–277,2006.
[8]S.Seshagiri and E.Promtun,Sliding mode control of F-16longitudinal dynamics,In Proceedings of the 2008 American Control Conference,Seattle,WA,USA,2008:1770-1775.
[9]S.A.Snell,D.F.Nns,and W.L.Arrard,Nonlinear inversion flight control for a supermaneuverable aircraft,Journal of Guidance,Control,and Dynamics,15(4):976-984,1992.
[10]J.M.Buffington,A.G.Sparks,and S.S.Banda,Robust longitudinal axis flight control for an aircraft with thrust vectoring,Automatica,30(10),1994:1527–1540.
[11]T.Iwasaki and S.Hara,Robust control synthesis with general frequency domain specifications:static gain feedback case,In Proceedings of the 2004 American Control Conference,Boston,MA,USA,5:4613–4618,2004.
[12]E.A.Morelli,Global nonlinear parametric modelling with application to F-16 aerodynamics,In Proceedings of the 1998American Control Conference,Philadelphia,PA,USA,2:997–1001,1998.
[13]L.Nguyen,M.Ogburn,W.Gilbert,K.Kibler,P.Brown,and P.Deal,Simulator study of stall/post-stall characteristics of a fighter airplane with relaxed longitudinal static stability(F-16),NASA TP 1538,1979.
[14]J.Xu,K.Lum,and A.Loh,A gain-varying UIO approach with adaptive threshold for FDI of nonlinear F16 systems,Journal of Control Theory and Applications,8(3):317-325,2010.