Measurement Feedback Control for a Class of Feedforward Systems with Uncertain Control Coefficient
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- 英文论文题名：Measurement Feedback Control for a Class of Feedforward Systems with Uncertain Control Coefficient
- 论文作者：Fang Shang ; Yungang Liu ; Chengdong Li ; Guiqing Zhang
- 英文论文作者：Fang Shang ; Yungang Liu ; Chengdong Li ; Guiqing Zhang ; School of Information and Electrical Engineering ; Shandong Jianzhu University ; Shandong Provincial Key Laboratory of Intelligent Buildings Technology ; School of Control Science and Engineering ; Shandong University
- 年：2017
- 作者机构：School of Information and Electrical Engineering,Shandong Jianzhu University;Shandong Provincial Key Laboratory of Intelligent Buildings Technology;School of Control Science and Engineering,Shandong University;
- 英文论文关键词：Feedforward nonlinear system ; uncertain control coefficient ; measurement 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：TP273
- 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：233k
- 原文格式：D
- 会议级别：全国
摘要
We consider the problem of measurement feedback controller design for a class of feedforward nonlinear systems with zero-dynamics and uncertain control coefficient. The sensor noise can be any bounded signal whose bound is finite. For design convenience, a state transformation is first introduced and the new system is obtained. Then, a measurement feedback controller is proposed with a suitable gain. By appropriate choice of the gain, the state of the closed-loop system is bounded whose Ultimate Bound(UB) depends on the bound of the sensor noise and the constructed gain. Finally, a simulation example is given to illustrate the effectiveness of the theoretical results.
We consider the problem of measurement feedback controller design for a class of feedforward nonlinear systems with zero-dynamics and uncertain control coefficient. The sensor noise can be any bounded signal whose bound is finite. For design convenience, a state transformation is first introduced and the new system is obtained. Then, a measurement feedback controller is proposed with a suitable gain. By appropriate choice of the gain, the state of the closed-loop system is bounded whose Ultimate Bound(UB) depends on the bound of the sensor noise and the constructed gain. Finally, a simulation example is given to illustrate the effectiveness of the theoretical results.
We consider the problem of measurement feedback controller design for a class of feedforward nonlinear systems with zero-dynamics and uncertain control coefficient. The sensor noise can be any bounded signal whose bound is finite. For design convenience, a state transformation is first introduced and the new system is obtained. Then, a measurement feedback controller is proposed with a suitable gain. By appropriate choice of the gain, the state of the closed-loop system is bounded whose Ultimate Bound(UB) depends on the bound of the sensor noise and the constructed gain. Finally, a simulation example is given to illustrate the effectiveness of the theoretical results.
引文
[1]A.Isidori,H∞control via measurement feedback for affine nonlinear systems,International Journal of Robust and Nonlinear Control,1994,4(4):553–574.
[2]Z.P.Jiang,I.Mareels,and D.Hill,Robust control of uncertain nonlinear systems via measurement feedback,IEEE Transactions on Automatic Control,1999,44(4):807–812.
[3]R.Marino,P.Tomei,Adaptive tracking and disturbance rejection for uncertain nonlinear systems,IEEE Transactions on Automatic Control,2005,50(1):90–95.
[4]L.Marconi,L.Praly,and A.Isidori,Robust asymptotic stabilization of nonlinear systems with non-hyperbolic zero dynamics,IEEE Transactions on Automatic Control,2010,55(4):907–921.
[5]H.W.Jo,H.L.Choi,and J.T.Lim,Output feedback control of a class of feedforward nonlinear systems in the presence of sensor noise,International Journal of Robust and Nonlinear Control,2014,24(13):1845–1857.
[6]L.Marconi,A.Isidori and A.Serrani,Input disturbance suppression for a class of feedforward uncertain nonlinear systems,Systems and Control Letters,2002,45(3):227–236.
[7]R.A.Freeman,Global internal stabilization does not imply global external stabilizibility for small sensor disturbances,IEEE Transactions on Automatic Control,1995,40(12):2119–2122.
[8]Z.Y.Chen,A remark on sensor disturbance rejection of nonlinear systems,IEEE Transactions on Automatic Control,2009,54(9):2206–2210.
[9]H.W.Jo,H.L.Choi,and J.T.Lim,Measurement feedback control for a class of feedforward nonlinear systems,International Journal of Robust and Nonlinear Control,2013,23(12):1405–1418.
[10]P.Krishnamurthy,F.Khorrami,Adaptive output-feedback control of a general class of uncertain feedforward systems via a dynamic scaling approach,IET Control Theory and Applications,2011,5(5):681–692.
[11]F.Shang,Y.G.Liu,and G.Q.Zhang,Adaptive stabilization for a class of feedforward systems with zero-dynamics,Journal of Systems Science and Complexity,2015,28(2):305–315.
[12]H.L.Choi,J.T.Lim,Stabilization of nolinear systems with unknown growth rate by adaptive output feedback,International Journal of Systems Science,2010,41(6):673–678.
[13]S.H.Ding,C.J.Qian,and S.H.Li,Global stabilization of a class of feedforward systems with lower-order nonlinearities,IEEE Transactions on Automatic Control,2010,55(3):691–696.
[14]F.Shang,Y.G.Liu,and G.Q.Zhang,Adaptive stabilization for a class of feedforward systems with zero-dynamics,Journal of Systems Science and Complexity,2015,28(2):305–315.
[15]F.Shang,Y.G.Liu,and X.F.Zhang,Adaptive stabilizing controller design for a class of uncertain feedforward nonlinear systems,in Proceedings of the 31st Chinese Control Conference,2012:519–523.
[16]F.Shang,Y.G.Liu,M.Zhang,and X.F.Zhang,Adaptive stabilization for feedforward nonlinear systems with unknown control direction,in Proceedings of the 32nd Chinese Control Conference,2013:615–619.
[17]L.Praly,Z.P.Jiang,Linear output feedback with dynamic high gain for nonlinear systems,Systems and Control Letters,2004,53(2):107–116.
[18]P.Krishnamurthy,F.Khorrami,On uniform solvability of parameter-dependent Lyapunov inequalities and applications to various problems,SIAM Journal on Control and Optimization,2006,45(4):1147–1164.
[19]J.K.Hale,Ordinary Differential Equations(The second edition).Krieger:Huntington,New York,1980.
[20]H.K.Khalil,Nonlinear Systems(Third Edition).NJ:Prentice Hall,New Jersey,2002.
[2]Z.P.Jiang,I.Mareels,and D.Hill,Robust control of uncertain nonlinear systems via measurement feedback,IEEE Transactions on Automatic Control,1999,44(4):807–812.
[3]R.Marino,P.Tomei,Adaptive tracking and disturbance rejection for uncertain nonlinear systems,IEEE Transactions on Automatic Control,2005,50(1):90–95.
[4]L.Marconi,L.Praly,and A.Isidori,Robust asymptotic stabilization of nonlinear systems with non-hyperbolic zero dynamics,IEEE Transactions on Automatic Control,2010,55(4):907–921.
[5]H.W.Jo,H.L.Choi,and J.T.Lim,Output feedback control of a class of feedforward nonlinear systems in the presence of sensor noise,International Journal of Robust and Nonlinear Control,2014,24(13):1845–1857.
[6]L.Marconi,A.Isidori and A.Serrani,Input disturbance suppression for a class of feedforward uncertain nonlinear systems,Systems and Control Letters,2002,45(3):227–236.
[7]R.A.Freeman,Global internal stabilization does not imply global external stabilizibility for small sensor disturbances,IEEE Transactions on Automatic Control,1995,40(12):2119–2122.
[8]Z.Y.Chen,A remark on sensor disturbance rejection of nonlinear systems,IEEE Transactions on Automatic Control,2009,54(9):2206–2210.
[9]H.W.Jo,H.L.Choi,and J.T.Lim,Measurement feedback control for a class of feedforward nonlinear systems,International Journal of Robust and Nonlinear Control,2013,23(12):1405–1418.
[10]P.Krishnamurthy,F.Khorrami,Adaptive output-feedback control of a general class of uncertain feedforward systems via a dynamic scaling approach,IET Control Theory and Applications,2011,5(5):681–692.
[11]F.Shang,Y.G.Liu,and G.Q.Zhang,Adaptive stabilization for a class of feedforward systems with zero-dynamics,Journal of Systems Science and Complexity,2015,28(2):305–315.
[12]H.L.Choi,J.T.Lim,Stabilization of nolinear systems with unknown growth rate by adaptive output feedback,International Journal of Systems Science,2010,41(6):673–678.
[13]S.H.Ding,C.J.Qian,and S.H.Li,Global stabilization of a class of feedforward systems with lower-order nonlinearities,IEEE Transactions on Automatic Control,2010,55(3):691–696.
[14]F.Shang,Y.G.Liu,and G.Q.Zhang,Adaptive stabilization for a class of feedforward systems with zero-dynamics,Journal of Systems Science and Complexity,2015,28(2):305–315.
[15]F.Shang,Y.G.Liu,and X.F.Zhang,Adaptive stabilizing controller design for a class of uncertain feedforward nonlinear systems,in Proceedings of the 31st Chinese Control Conference,2012:519–523.
[16]F.Shang,Y.G.Liu,M.Zhang,and X.F.Zhang,Adaptive stabilization for feedforward nonlinear systems with unknown control direction,in Proceedings of the 32nd Chinese Control Conference,2013:615–619.
[17]L.Praly,Z.P.Jiang,Linear output feedback with dynamic high gain for nonlinear systems,Systems and Control Letters,2004,53(2):107–116.
[18]P.Krishnamurthy,F.Khorrami,On uniform solvability of parameter-dependent Lyapunov inequalities and applications to various problems,SIAM Journal on Control and Optimization,2006,45(4):1147–1164.
[19]J.K.Hale,Ordinary Differential Equations(The second edition).Krieger:Huntington,New York,1980.
[20]H.K.Khalil,Nonlinear Systems(Third Edition).NJ:Prentice Hall,New Jersey,2002.