Model reference adaptive control with smooth switching scheme for piecewise linear systems and its application in turbofan engine control
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摘要
A model reference adaptive control(MRAC)with smooth switching scheme was proposed for piecewise linear systems,and the method was utilized in turbofan engine control to avoid the discontinuity of control input.In this scheme,each sub-region of the operating envelope had its own MRAC controller,and smooth indicator function based smooth switching scheme was introduced to switch multiple controllers smoothly at the boundary of adjacent sub-regions.The Lyapunov stability analysis indicated that the proposed smooth switching scheme can guarantee the convergence of the closed-loop system during the controllers switching.The tracking error system was converted into a switched system to analyze the global stability of the closed-loop system.The advantage of the method was that the chattering of system output and instability caused by asynchronous switching can be eliminated.The simulation illustrates the effectiveness of the proposed control scheme in comparison with the existing MRAC controller with gain scheduling for turbofan engine.
A model reference adaptive control(MRAC)with smooth switching scheme was proposed for piecewise linear systems,and the method was utilized in turbofan engine control to avoid the discontinuity of control input.In this scheme,each sub-region of the operating envelope had its own MRAC controller,and smooth indicator function based smooth switching scheme was introduced to switch multiple controllers smoothly at the boundary of adjacent sub-regions.The Lyapunov stability analysis indicated that the proposed smooth switching scheme can guarantee the convergence of the closed-loop system during the controllers switching.The tracking error system was converted into a switched system to analyze the global stability of the closed-loop system.The advantage of the method was that the chattering of system output and instability caused by asynchronous switching can be eliminated.The simulation illustrates the effectiveness of the proposed control scheme in comparison with the existing MRAC controller with gain scheduling for turbofan engine.
A model reference adaptive control(MRAC)with smooth switching scheme was proposed for piecewise linear systems,and the method was utilized in turbofan engine control to avoid the discontinuity of control input.In this scheme,each sub-region of the operating envelope had its own MRAC controller,and smooth indicator function based smooth switching scheme was introduced to switch multiple controllers smoothly at the boundary of adjacent sub-regions.The Lyapunov stability analysis indicated that the proposed smooth switching scheme can guarantee the convergence of the closed-loop system during the controllers switching.The tracking error system was converted into a switched system to analyze the global stability of the closed-loop system.The advantage of the method was that the chattering of system output and instability caused by asynchronous switching can be eliminated.The simulation illustrates the effectiveness of the proposed control scheme in comparison with the existing MRAC controller with gain scheduling for turbofan engine.
引文
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[17]XIE J,ZHAO J.Model reference adaptive control for nonlinear switched systems under asynchronous switching[J].International Journal of Adaptive Control and Signal Processing,2017,31(1):3-22.
[18]WU C,ZHAO J,SUN X M.Adaptive tracking control for uncertain switched systems under asynchronous switching[J].International Journal of Robust and Nonlinear Control,2015,25(17):3457-3477.
[19]KUIPERS M,IOANNOU P.Multiple model adaptive control with mixing[J].IEEE Transactions on Automatic Control,2010,55(8):1822-1836.
[20]SANG Q,TAO G.Adaptive control of piecewise linear systems:the state tracking case[J].IEEE Transactions on Automatic Control,2012,57(2):522-528.
[21]WU Caiyun.Model reference adaptive state tracking control for switched systems[D].Shenyang:Northeastern University,2014.(in Chinese)
[22]IOANNOU P A,SUN J.Robust adaptive control[M].Upper Saddle River,NJ,USA:Prentice-Hall,1996.
[23]YANG S,WANG X.LPV based sliding mode control for limit protection of aircraft engines[C]∥Proceedings of ASME Turbo Expo:Turbomachinery Technical Conference and Exposition.Oslo,Norway:ASME,2018:1-9.
[24]YANG S,WANG X.Sliding controller design for aero-engines with the rate limitation of actuators[C]∥Proceedings of ASME Turbo Expo:Turbomachinery Technical Conference and Exposition.Charlotte,North Carolina,USA:ASME,2017:1-7.
[2]WU Bin,HUANG Jinquan.Intermediate state control of turbofan engine in full envelope based on switched polytopic LPV approach[J].Journal of Aerospace Power,2016,31(8):2040-2048.(in Chinese)
[3]REBERGA L,HENRION D,BERNUSSON J,et al.LPV modeling of a turbofan engine[R].Prague,Czech Republic:the 16th Triennial World Congress,2005.
[4]YANG S,WANG X,YANG B.Adaptive sliding mode control for limit protection of aircraft engines[J].Chinese Journal of Aeronautics,2018,31(7):1480-1488.
[5]LI Huacong,WANG Xin,HAN Xiaobo,et al.Study of aeroengine linear parameter varying modeling[J].Journal of Propulsion Technology,2007,28(4):418-421.(in Chinese)
[6]BRUZELIUS F,BREITHOLTZ C,PETTERSSON S.LPV-based gain scheduling technique applied to a turbo fan engine model[C]∥Proceedings of the 2002IEEE International Conference on Control Applications.Glasgow,USA:IEEE,2002:713-718.
[7]GILL K F,SCHWARZENBACH J,HARLAND G E.Design analysis of model reference adaptive control systems applied to a gas-turbine aircraft engine[J].Proceedings of the IEEE,1968,115(3):135-151.
[8]MONOPOLI R V.Model reference adaptive control of gas urbine engines[J].Journal of Dynamic Systems,Measurement and Control,1981,103(3):285-287.
[9]CHEN Jie,CHEN Wei,SUN Jian.A survey of multiple model adaptive control[J].Journal of System Science and Mathematical Sciences,2014,34(12):1421-1437.(in Chinese)
[10]FAN Jun,HUANG Jinquan,SUN Jianguo,et al.Multivariable model reference adaptive control for a turbofan engine[J].Chinese Journal of Aeronautics,1996,9(4):300-304.
[11]PAKMEHR M,YUCELEN T.Adaptive control of uncertain systems with gain scheduled reference models and Constrained Control Inputs[C]∥Proceedings of American Control Conference.Portland,OR,USA:IEEE,2014:1322-1327.
[12]LIU X,YUAN Y,SHI J,et al.Adaptive modeling of aircraft engine performance degradation model based on the equilibrium manifold and expansion form[J].Journal of Aerospace Engineering,2014,228(8):1246-1272.
[13]NARENDRA K S,BALAKRISHNAN J.Adaptive control using multiple models[J].IEEE Transactions on Automatic Control,1997,42(2):171-187.
[14]NARENDRA K S,DRIOLLET O A,FEILER M,et al.Adaptive control using multiple models,switching and tuning[J].International Journal of Adaptive Control and Signal Processing,2003,17(2):87-102.
[15]HESPANHA J,LIBERZON D,STEPHEN MORSE A,et al.Multiple model adaptive control:Part 2switching[J].International Journal of Robust and Nonlinear Control,2001,11(5):479-496.
[16]MORSE A S.Supervisory control of families of linear setpoint controllers:PartⅠexact matching[J].IEEE Transactions on Automatic Control,1996,41(10):1413-1431.
[17]XIE J,ZHAO J.Model reference adaptive control for nonlinear switched systems under asynchronous switching[J].International Journal of Adaptive Control and Signal Processing,2017,31(1):3-22.
[18]WU C,ZHAO J,SUN X M.Adaptive tracking control for uncertain switched systems under asynchronous switching[J].International Journal of Robust and Nonlinear Control,2015,25(17):3457-3477.
[19]KUIPERS M,IOANNOU P.Multiple model adaptive control with mixing[J].IEEE Transactions on Automatic Control,2010,55(8):1822-1836.
[20]SANG Q,TAO G.Adaptive control of piecewise linear systems:the state tracking case[J].IEEE Transactions on Automatic Control,2012,57(2):522-528.
[21]WU Caiyun.Model reference adaptive state tracking control for switched systems[D].Shenyang:Northeastern University,2014.(in Chinese)
[22]IOANNOU P A,SUN J.Robust adaptive control[M].Upper Saddle River,NJ,USA:Prentice-Hall,1996.
[23]YANG S,WANG X.LPV based sliding mode control for limit protection of aircraft engines[C]∥Proceedings of ASME Turbo Expo:Turbomachinery Technical Conference and Exposition.Oslo,Norway:ASME,2018:1-9.
[24]YANG S,WANG X.Sliding controller design for aero-engines with the rate limitation of actuators[C]∥Proceedings of ASME Turbo Expo:Turbomachinery Technical Conference and Exposition.Charlotte,North Carolina,USA:ASME,2017:1-7.