Adaptive sliding mode observer-controller design for nonlinear systems:a fuzzy approach
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- 英文论文题名：Adaptive sliding mode observer-controller design for nonlinear systems:a fuzzy approach
- 论文作者：Xiaohang Li ; Wei Zhang
- 英文论文作者：Xiaohang Li ; Wei Zhang ; School of Electronic and Electrical Engineering ; Shanghai University of Science and Technology
- 年：2017
- 作者机构：School of Electronic and Electrical Engineering, Shanghai University of Science and Technology;
- 英文论文关键词：Sliding mode control ; T-S fuzzy system ; Nonlinear system ; Adaptive sliding mode observer ; Linear matrix inequality
- 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：6
- 文件大小：330k
- 原文格式：D
- 会议级别：全国
摘要
In this paper, the problems of observer-based sliding mode control for a class of nonlinear system are investigated via Takagi-Sugeno(T-S) fuzzy approach. By using the T-S model as the design model, an adaptive sliding mode observer is first constructed to estimate the states of the original nonlinear system without knowing any information of the actuator fault. And then, a sliding mode surface in the state-estimation space is proposed and a new sliding mode controller which can force the motion of closed-loop system onto the surface is designed. Besides, the sufficient conditions of the existence of the observer and controller are provided in terms of linear matrix inequalities(LMIs). Finally, the ball and beam system is used as an example to verify the validity of the proposed method.
In this paper, the problems of observer-based sliding mode control for a class of nonlinear system are investigated via Takagi-Sugeno(T-S) fuzzy approach. By using the T-S model as the design model, an adaptive sliding mode observer is first constructed to estimate the states of the original nonlinear system without knowing any information of the actuator fault. And then, a sliding mode surface in the state-estimation space is proposed and a new sliding mode controller which can force the motion of closed-loop system onto the surface is designed. Besides, the sufficient conditions of the existence of the observer and controller are provided in terms of linear matrix inequalities(LMIs). Finally, the ball and beam system is used as an example to verify the validity of the proposed method.
In this paper, the problems of observer-based sliding mode control for a class of nonlinear system are investigated via Takagi-Sugeno(T-S) fuzzy approach. By using the T-S model as the design model, an adaptive sliding mode observer is first constructed to estimate the states of the original nonlinear system without knowing any information of the actuator fault. And then, a sliding mode surface in the state-estimation space is proposed and a new sliding mode controller which can force the motion of closed-loop system onto the surface is designed. Besides, the sufficient conditions of the existence of the observer and controller are provided in terms of linear matrix inequalities(LMIs). Finally, the ball and beam system is used as an example to verify the validity of the proposed method.
引文
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[9]Chang W J,Chang W.Synthesis of nonlinear discrete control systems via time-delay affine Takagi-Sugeno fuzzy models[J].ISA transactions,2005,44(2):243-257.
[10]Kchaou M,El Hajjaji A,Toumi A.Non-fragile H∞output feedback control design for continuous-time fuzzy systems[J].ISA transactions,2015,54:3-14.
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[14]Guo S,Zhu F,Xu L.Unknown input observer design for Takagi-Sugeno fuzzy stochastic system[J].International Journal of Control,Automation and Systems,2015,13(4):1003-1009.
[15]Liu S C,Lin S F.LMI-based robust sliding control for mismatched uncertain nonlinear systems using fuzzy models[J].International Journal of Robust and Nonlinear Control,2012,22(16):1827-1836.
[16]Soltanpour M R,Zolfaghari B,Soltani M,et al.Fuzzy sliding mode control design for a class of nonlinear systems with structured and unstructured uncertainties[J].International Journal of Innovative Computing,Information and Control,2013,9(7):2713-2726.
[17]Vu N T T,Yu D Y,Choi H H,et al.TCS fuzzy-model-based sliding-mode control for surface-mounted permanent-magnet synchronous motors considering uncertainties[J].IEEE Transactions on Industrial Electronics,2013,60(10):4281-4291.
[18]Chang W J,Hsu F L.Sliding mode fuzzy control for Takagi CSugeno fuzzy systems with bilinear consequent part subject to multiple constraints[J].Information Sciences,2016,327:258-271.
[19]Gao Q,Liu L,Feng G,et al.Universal fuzzy integral slidingmode controllers based on T-S fuzzy models[J].IEEE Transactions on Fuzzy Systems,2014,22(2):350-362.
[20]Khanesar M A,Kaynak O,Yin S,et al.Adaptive indirect fuzzy sliding mode controller for networked control systems subject to time-varying network-induced time delay[J].IEEE Transactions on Fuzzy Systems,2015,23(1):205-214.
[21]Li H,Shi P,Yao D,et al.Observer-based adaptive sliding mode control for nonlinear Markovian jump systems[J].Automatica,2016,64:133-142.
[22]Zhang J,Shi P,Xia Y.Robust adaptive sliding-mode control for fuzzy systems with mismatched uncertainties[J].IEEE Transactions on Fuzzy Systems,2010,18(4):700-711.
[23]Gao Q,Feng G,Xi Z,et al.Robust Control of T-S Fuzzy Time-Delay Systems via a New Sliding-Mode Control Scheme[J].IEEE Transactions on Fuzzy Systems,2014,22(2):459-465.
[24]Li H,Yu J,Hilton C,et al.Adaptive sliding-mode control for nonlinear active suspension vehicle systems using TCS fuzzy approach[J].IEEE Transactions on Industrial Electronics,2013,60(8):3328-3338.
[25]Li H,Wang J,Shi P.Output-feedback based sliding mode control for fuzzy systems with actuator saturation[J].2015.
[26]Han C,Zhang G,Wu L,et al.Sliding mode control of TS fuzzy descriptor systems with time-delay[J].Journal of the Franklin Institute,2012,349(4):1430-1444.
[27]Gao Q,Feng G,Wang Y,et al.Universal fuzzy models and universal fuzzy controllers for stochastic nonaffine nonlinear systems[J].IEEE Transactions on Fuzzy Systems,2013,21(2):328-341.
[28]Plestan F,Shtessel Y,Bregeault V,et al.New methodologies for adaptive sliding mode control[J].International journal of control,2010,83(9):1907-1919.
[29]Zeng X J,Singh M G.Approximation theory of fuzzy systems-SISO case[J].IEEE Transactions on Fuzzy Systems,1994,2(2):162-176.
[30]Zeng X J,Singh M G.Approximation theory of fuzzy systems-MIMO case[J].IEEE Transactions on Fuzzy Systems,1995,3(2):219-235.
[31]Teixeira M C M,Zak S H.Stabilizing controller design for uncertain nonlinear systems using fuzzy models[J].IEEE Transactions on fuzzy systems,1999,7(2):133-142.
[32]Chong E K P,Zak S H.An introduction to optimization[M].John Wiley&Sons,2013.
[2]Wang Y,Xie L,de Souza C E.Robust control of a class of uncertain nonlinear systems[J].Systems&Control Letters,1992,19(2):139-149.
[3]Cheng F,Yu W,Wan Y,et al.Distributed robust control for linear multi-agent systems with intermittent communications and parameter uncertainties[J].2016.
[4]Takagi T,Sugeno M.Fuzzy identification of systems and its applications to modeling and control[J].IEEE transactions on systems,man,and cybernetics,1985(1):116-132.
[5]Chadli M,Karimi H R,Shi P.On stability and stabilization of singular uncertain Takagi-Sugeno fuzzy systems[J].Journal of the Franklin Institute,2014,351(3):1453-1463.
[6]Gassara H,El Hajjaji A,Chaabane M.Robust control of T-S fuzzy systems with time-varying delay using new approach[J].International Journal of Robust and Nonlinear Control,2010,20(14):1566-1578.
[7]Yoneyama J.Nonlinear control design based on generalized Takagi-Sugeno fuzzy systems[J].Journal of the Franklin Institute,2014,351(7):3524-3535.
[8]Vermeiren L,Dequidt A,Afroun M,et al.Motion control of planar parallel robot using the fuzzy descriptor system approach[J].ISA transactions,2012,51(5):596-608.
[9]Chang W J,Chang W.Synthesis of nonlinear discrete control systems via time-delay affine Takagi-Sugeno fuzzy models[J].ISA transactions,2005,44(2):243-257.
[10]Kchaou M,El Hajjaji A,Toumi A.Non-fragile H∞output feedback control design for continuous-time fuzzy systems[J].ISA transactions,2015,54:3-14.
[11]Su X,Shi P,Wu L,et al.A novel control design on discretetime Takagi CSugeno fuzzy systems with time-varying delays[J].IEEE Transactions on Fuzzy Systems,2013,21(4):655-671.
[12]Chadli M,Abdo A,Ding S X.H-/H∞fault detection filter design for discrete-time Takagi-Sugeno fuzzy system[J].Automatica,2013,49(7):1996-2005.
[13]Chadli M,Karimi H R.Robust observer design for unknown inputs Takagi-Sugeno models[J].IEEE Transactions on Fuzzy Systems,2013,21(1):158-164.
[14]Guo S,Zhu F,Xu L.Unknown input observer design for Takagi-Sugeno fuzzy stochastic system[J].International Journal of Control,Automation and Systems,2015,13(4):1003-1009.
[15]Liu S C,Lin S F.LMI-based robust sliding control for mismatched uncertain nonlinear systems using fuzzy models[J].International Journal of Robust and Nonlinear Control,2012,22(16):1827-1836.
[16]Soltanpour M R,Zolfaghari B,Soltani M,et al.Fuzzy sliding mode control design for a class of nonlinear systems with structured and unstructured uncertainties[J].International Journal of Innovative Computing,Information and Control,2013,9(7):2713-2726.
[17]Vu N T T,Yu D Y,Choi H H,et al.TCS fuzzy-model-based sliding-mode control for surface-mounted permanent-magnet synchronous motors considering uncertainties[J].IEEE Transactions on Industrial Electronics,2013,60(10):4281-4291.
[18]Chang W J,Hsu F L.Sliding mode fuzzy control for Takagi CSugeno fuzzy systems with bilinear consequent part subject to multiple constraints[J].Information Sciences,2016,327:258-271.
[19]Gao Q,Liu L,Feng G,et al.Universal fuzzy integral slidingmode controllers based on T-S fuzzy models[J].IEEE Transactions on Fuzzy Systems,2014,22(2):350-362.
[20]Khanesar M A,Kaynak O,Yin S,et al.Adaptive indirect fuzzy sliding mode controller for networked control systems subject to time-varying network-induced time delay[J].IEEE Transactions on Fuzzy Systems,2015,23(1):205-214.
[21]Li H,Shi P,Yao D,et al.Observer-based adaptive sliding mode control for nonlinear Markovian jump systems[J].Automatica,2016,64:133-142.
[22]Zhang J,Shi P,Xia Y.Robust adaptive sliding-mode control for fuzzy systems with mismatched uncertainties[J].IEEE Transactions on Fuzzy Systems,2010,18(4):700-711.
[23]Gao Q,Feng G,Xi Z,et al.Robust Control of T-S Fuzzy Time-Delay Systems via a New Sliding-Mode Control Scheme[J].IEEE Transactions on Fuzzy Systems,2014,22(2):459-465.
[24]Li H,Yu J,Hilton C,et al.Adaptive sliding-mode control for nonlinear active suspension vehicle systems using TCS fuzzy approach[J].IEEE Transactions on Industrial Electronics,2013,60(8):3328-3338.
[25]Li H,Wang J,Shi P.Output-feedback based sliding mode control for fuzzy systems with actuator saturation[J].2015.
[26]Han C,Zhang G,Wu L,et al.Sliding mode control of TS fuzzy descriptor systems with time-delay[J].Journal of the Franklin Institute,2012,349(4):1430-1444.
[27]Gao Q,Feng G,Wang Y,et al.Universal fuzzy models and universal fuzzy controllers for stochastic nonaffine nonlinear systems[J].IEEE Transactions on Fuzzy Systems,2013,21(2):328-341.
[28]Plestan F,Shtessel Y,Bregeault V,et al.New methodologies for adaptive sliding mode control[J].International journal of control,2010,83(9):1907-1919.
[29]Zeng X J,Singh M G.Approximation theory of fuzzy systems-SISO case[J].IEEE Transactions on Fuzzy Systems,1994,2(2):162-176.
[30]Zeng X J,Singh M G.Approximation theory of fuzzy systems-MIMO case[J].IEEE Transactions on Fuzzy Systems,1995,3(2):219-235.
[31]Teixeira M C M,Zak S H.Stabilizing controller design for uncertain nonlinear systems using fuzzy models[J].IEEE Transactions on fuzzy systems,1999,7(2):133-142.
[32]Chong E K P,Zak S H.An introduction to optimization[M].John Wiley&Sons,2013.