Quaternion-Based Adaptive Backstepping RFWNN Control of Quadrotors Subject to Model Uncertainties and Disturbances

This paper presents a quaternion-based adaptive backstepping control method using recurrent fuzzy wavelet neural network (RFWNN) for regulation and trajectory tracking of quadrotors subject to model uncertainties and disturbances. For the controller synthesis, a more complete model of an uncertain q...

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Published inInternational journal of fuzzy systems Vol. 20; no. 6; pp. 1745 - 1755
Main Authors Kuo, Chia-Wei, Tsai, Ching-Chih
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2018
Springer Nature B.V
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Abstract This paper presents a quaternion-based adaptive backstepping control method using recurrent fuzzy wavelet neural network (RFWNN) for regulation and trajectory tracking of quadrotors subject to model uncertainties and disturbances. For the controller synthesis, a more complete model of an uncertain quadrotor is first obtained by incorporating with mass variations and wind disturbances, which are online learned by using the RFWNN. Afterward, a quaternion-based adaptive backstepping RFWNN controller is synthesized by integrating backstepping, quaternion control, and the RFWNN online learner. The closed-loop stability of the overall quadrotor control system is shown semi-globally uniformly ultimately bounded via Lyapunov stability theory. The effectiveness and performance of the proposed control method are well exemplified by conducting four simulations on hovering and three-dimensional sinusoidal trajectory tracking control of a quadrotor. Through the simulation results, the proposed control method is shown superior by comparing to two existing methods.
AbstractList This paper presents a quaternion-based adaptive backstepping control method using recurrent fuzzy wavelet neural network (RFWNN) for regulation and trajectory tracking of quadrotors subject to model uncertainties and disturbances. For the controller synthesis, a more complete model of an uncertain quadrotor is first obtained by incorporating with mass variations and wind disturbances, which are online learned by using the RFWNN. Afterward, a quaternion-based adaptive backstepping RFWNN controller is synthesized by integrating backstepping, quaternion control, and the RFWNN online learner. The closed-loop stability of the overall quadrotor control system is shown semi-globally uniformly ultimately bounded via Lyapunov stability theory. The effectiveness and performance of the proposed control method are well exemplified by conducting four simulations on hovering and three-dimensional sinusoidal trajectory tracking control of a quadrotor. Through the simulation results, the proposed control method is shown superior by comparing to two existing methods.
Author Tsai, Ching-Chih
Kuo, Chia-Wei
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  fullname: Tsai, Ching-Chih
  email: cctsai@dragon.nchu.edu.tw
  organization: Department of Electrical Engineering, National Chung Hsing University
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Cites_doi 10.1109/TCST.2011.2121907
10.1109/ECMR.2015.7324191
10.1016/j.mechatronics.2010.04.009
10.1109/ICAT.2015.7340523
10.1109/ACC.2013.6579970
10.1109/URAI.2017.7992893
10.1109/EIConRus.2017.7910700
10.1109/ChiCC.2015.7259727
10.1109/TMECH.2014.2329945
10.1109/ICSMC.2011.6084012
10.1109/ICUAS.2015.7152306
10.1109/TFUZZ.2016.2540058
10.1109/ICITEED.2016.7863225
10.1109/ICInfA.2016.7831829
10.1016/j.automatica.2017.12.020
10.1109/CCECE.2015.7129434
10.1109/ACC.2013.6579806
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Issue 6
Keywords Backstepping
Regulation
Trajectory tracking
Quaternion
Recurrent fuzzy wavelet neural network (RFWNN)
Quadrotor
Language English
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References ChoiY-CAhnH-SNonlinear control of quadrotor for point tracking: actual implementation and experimental testsIEEE/ASME Trans. on Mechatronics20152031179119210.1109/TMECH.2014.2329945
Lucia, S.D., Tipaldi, G.D., Burgard, W.: Attitude stabilization control of an aerial manipulator using a quaternion-based backstepping approach. In: Proceedings of 2015 IEEE European Conference on Mobile Robots, pp. 1–6 (2015)
DongWFarrellJAPolycarpouMMSharmaMCommand filtered adaptive backsteppingIEEE Trans. Control Systems Technology20122056658010.1109/TCST.2011.21219071367.93382
Zou,Y., Huo, W.: Adaptive backstepping trajectory tracking controller for a small-scaled helicopter. In: Proceedings of 2015 34th Chinese Control Conference (CCC), pp. 737–742 (2015)
Feng, Y., Rabbath, C.A., Rakheja, S., Su, C.Y.: Adaptive controller design for generic quadrotor aircraft platform subject to slung load. In: Proceedings of 2015 IEEE 28th Canadian Conference on Electrical and Computer Engineering, pp. 1135–1139 (2015)
Kiyashko, M.A., Sholmov, A.K., Efremov, A.A.: Quadrotor mathematical and information model analysis. In: Proceedings of IEEE Conference of Russian Young Researchers in Electrical and Electronic Engineering, pp. 901–904 (2017)
Tran, N.K., Bulka, E., Nahon, M.: Quadrotor control in a wind field. In: 2015 International Conference on Unmanned Aircraft Systems (ICUAS), pp. 320–328 (2015)
ZakSHSystem and control2003OxfordOxford University Press
Castillo, A., Sanz, R., Garcia, P., Albertos, P.: A quaternion-based and active disturbance rejection attitude control for quadrotor. In: Proceedings of 2016 IEEE International Conference on Information and Automation (ICIA), pp. 240–245 (2016)
Zhao, S., Dong, W., Farrell, J.A.: Quaternion-based trajectory tracking control of VTOL-UAVs using command filtered backstepping. In: Proceedings of 2013 American Control Conference, pp. 1018–1023 (2013)
Tsai, C.C., Lee, C.T., Hwang, K.S.: Intelligent Adaptive Trajectory Tracking Control Using Fuzzy Basis Function Networks for an Autonomous Small-Scale Helicopter. In: Proceedings of 2011 IEEE International Conference on Systems, Man, and Cybernetics (2011)
TongSLiYSuiSAdaptive fuzzy tracking control design for SISO uncertain non strict feedback nonlinear systemsIEEE Trans. Fuzzy Syst.20162461441145410.1109/TFUZZ.2016.2540058
Ariyanto, M., Paryanto, M., Naniwa, T.: Mathematical and physical modelling with dynamic change in the center of gravity of quadrotor. In: Proceedings of 2016 8th International Conference on Information Technology and Electrical Engineering (ICITEE), pp. 1–6 (2016)
Rashad, R., Aboudonia, A., El-Badawy, A.: Backstepping trajectory tracking control of a quadrotor with disturbance rejection. In: Proceedings of 2015 XXV International Conference on Information, Communication and Automation Technologies (ICAT), pp. 1–7 (2015)
LeeCTTsaiCCNonlinear adaptive aggressive control using recurrent neural networks for a small scale helicopterMechatronics201020447448410.1016/j.mechatronics.2010.04.009
Lee, S., Giri, D.K., Son, H.: Modeling and control of quadrotor UAV subject to variations in center of gravity and mass. In: Proceedings of 2017 14th International Conference on Ubiquitous Robots and Ambient Intelligence (URAI), pp. 85–90 (2017)
LiYLiuLFengGRobust adaptive output feedback control approach to a class of non-triangular stochastic nonlinear systemsAutomatica201889325332376206110.1016/j.automatica.2017.12.0201388.93033
Bialy, B.J., Klotz, J., Brink, K., Dixon, W.E.: Lyapunov-based robust adaptive control of a quadrotor UAV in the presence of modeling uncertainties. In: Proceedings of 2013 American Control Conference, pp. 13–18 (2013)
Kuo, C.W., Tsai, C.C.: Integral Consensus Tracking Using RFWNN for Uncertain Networked Heterogeneous Second-Order Nonlinear Multiagent Systems. In: Proceedings of 2016 International Conference on Advanced Robotics and Intelligent Systems, Taipei, Taiwan (2016)
SH Zak (471_CR16) 2003
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471_CR9
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References_xml – reference: Lee, S., Giri, D.K., Son, H.: Modeling and control of quadrotor UAV subject to variations in center of gravity and mass. In: Proceedings of 2017 14th International Conference on Ubiquitous Robots and Ambient Intelligence (URAI), pp. 85–90 (2017)
– reference: Tran, N.K., Bulka, E., Nahon, M.: Quadrotor control in a wind field. In: 2015 International Conference on Unmanned Aircraft Systems (ICUAS), pp. 320–328 (2015)
– reference: Feng, Y., Rabbath, C.A., Rakheja, S., Su, C.Y.: Adaptive controller design for generic quadrotor aircraft platform subject to slung load. In: Proceedings of 2015 IEEE 28th Canadian Conference on Electrical and Computer Engineering, pp. 1135–1139 (2015)
– reference: Kiyashko, M.A., Sholmov, A.K., Efremov, A.A.: Quadrotor mathematical and information model analysis. In: Proceedings of IEEE Conference of Russian Young Researchers in Electrical and Electronic Engineering, pp. 901–904 (2017)
– reference: Ariyanto, M., Paryanto, M., Naniwa, T.: Mathematical and physical modelling with dynamic change in the center of gravity of quadrotor. In: Proceedings of 2016 8th International Conference on Information Technology and Electrical Engineering (ICITEE), pp. 1–6 (2016)
– reference: Kuo, C.W., Tsai, C.C.: Integral Consensus Tracking Using RFWNN for Uncertain Networked Heterogeneous Second-Order Nonlinear Multiagent Systems. In: Proceedings of 2016 International Conference on Advanced Robotics and Intelligent Systems, Taipei, Taiwan (2016)
– reference: ZakSHSystem and control2003OxfordOxford University Press
– reference: DongWFarrellJAPolycarpouMMSharmaMCommand filtered adaptive backsteppingIEEE Trans. Control Systems Technology20122056658010.1109/TCST.2011.21219071367.93382
– reference: LiYLiuLFengGRobust adaptive output feedback control approach to a class of non-triangular stochastic nonlinear systemsAutomatica201889325332376206110.1016/j.automatica.2017.12.0201388.93033
– reference: LeeCTTsaiCCNonlinear adaptive aggressive control using recurrent neural networks for a small scale helicopterMechatronics201020447448410.1016/j.mechatronics.2010.04.009
– reference: Castillo, A., Sanz, R., Garcia, P., Albertos, P.: A quaternion-based and active disturbance rejection attitude control for quadrotor. In: Proceedings of 2016 IEEE International Conference on Information and Automation (ICIA), pp. 240–245 (2016)
– reference: Zou,Y., Huo, W.: Adaptive backstepping trajectory tracking controller for a small-scaled helicopter. In: Proceedings of 2015 34th Chinese Control Conference (CCC), pp. 737–742 (2015)
– reference: Zhao, S., Dong, W., Farrell, J.A.: Quaternion-based trajectory tracking control of VTOL-UAVs using command filtered backstepping. In: Proceedings of 2013 American Control Conference, pp. 1018–1023 (2013)
– reference: Rashad, R., Aboudonia, A., El-Badawy, A.: Backstepping trajectory tracking control of a quadrotor with disturbance rejection. In: Proceedings of 2015 XXV International Conference on Information, Communication and Automation Technologies (ICAT), pp. 1–7 (2015)
– reference: Tsai, C.C., Lee, C.T., Hwang, K.S.: Intelligent Adaptive Trajectory Tracking Control Using Fuzzy Basis Function Networks for an Autonomous Small-Scale Helicopter. In: Proceedings of 2011 IEEE International Conference on Systems, Man, and Cybernetics (2011)
– reference: TongSLiYSuiSAdaptive fuzzy tracking control design for SISO uncertain non strict feedback nonlinear systemsIEEE Trans. Fuzzy Syst.20162461441145410.1109/TFUZZ.2016.2540058
– reference: Lucia, S.D., Tipaldi, G.D., Burgard, W.: Attitude stabilization control of an aerial manipulator using a quaternion-based backstepping approach. In: Proceedings of 2015 IEEE European Conference on Mobile Robots, pp. 1–6 (2015)
– reference: Bialy, B.J., Klotz, J., Brink, K., Dixon, W.E.: Lyapunov-based robust adaptive control of a quadrotor UAV in the presence of modeling uncertainties. In: Proceedings of 2013 American Control Conference, pp. 13–18 (2013)
– reference: ChoiY-CAhnH-SNonlinear control of quadrotor for point tracking: actual implementation and experimental testsIEEE/ASME Trans. on Mechatronics20152031179119210.1109/TMECH.2014.2329945
– volume: 20
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SubjectTerms Adaptive control
Algorithms
Approximation
Artificial Intelligence
Closed loops
Computational Intelligence
Control methods
Controllers
Design
Disturbances
Engineering
Fuzzy control
Fuzzy logic
Hovering
Management Science
Neural networks
Operations Research
Quaternions
Rotary wing aircraft
Tracking control
Trajectory control
Uncertainty
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Title Quaternion-Based Adaptive Backstepping RFWNN Control of Quadrotors Subject to Model Uncertainties and Disturbances
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