Guaranteed trajectory tracking control based on interval observer for quadrotors

References

• Alcaraz-González, V., & González-Álvarez, V. (2007). Robust nonlinear observers for bioprocesses: Application to wastewater treatment. In Selected topics in dynamics and control of chemical and biological processes (pp. 119–164). doi:10.1007/978-3-540-73188-7_5.
   Google Scholar
• Bernard, O., & Gouzé, J. L. (2004). Closed loop observers bundle for uncertain biotechnological models. Journal of Process Control, 14(7), 765–774. doi: 10.1016/j.jprocont.2003.12.006
   Web of Science ®Google Scholar
• Chamseddine, A., Zhang, Y., Rabbath, C. A., Join, C., & Theilliol, D. (2012). Flatness-based trajectory planning/replanning for a quadrotor unmanned aerial vehicle. IEEE Transactions on Aerospace and Electronic Systems, 48(4), 2832–2848. doi:10.1109/TAES.2012.6324664
   Web of Science ®Google Scholar
• Chen, F., Lei, W., Zhang, K., Tao, G., & Jiang, B. (2016). A novel nonlinear resilient control for a quadrotor UAV via backstepping control and nonlinear disturbance observer. Nonlinear Dynamics, 85(2), 1281–1295. doi:10.1007/s11071-016-2760-y
   Web of Science ®Google Scholar
• Dominic, S., Löhr, Y., Schwung, A., & Ding, S. X. (2017). PLC-based real-time realization of flatness-based feedforward control for industrial compression systems. IEEE Transactions on Industrial Electronics, 64(2), 1323–1331. doi:10.1109/TIE.2016.2612160
   Web of Science ®Google Scholar
• Efimov, D., Li, S., Hu, Y., Muldoon, S., Javaherian, H., & Nikiforov, V. O. (2015). Application of interval observers to estimation and control of air-fuel ratio in a direct injection engine. In American control conference (pp. 25–30). doi:10.1109/ACC.2015.7170706
   Google Scholar
• Efimov, D., & Raïssi, T. (2016). Design of interval observers for uncertain dynamical systems. Automation and Remote Control, 77(2), 191–225. doi:10.1134/S0005117916020016
   Web of Science ®Google Scholar
• Efimov, D., Raïssi, T., Chebotarev, S., & Zolghadri, A. (2013). Interval state observer for nonlinear time varying systems. Automatica, 49(1), 200–205. doi:10.1016/j.automatica.2012.07.004
   Web of Science ®Google Scholar
• Fliess, M., Lévine, J., Martin, P., & Rouchon, P. (1995). Flatness and defect of non-linear systems: Introductory theory and examples. International Journal of Control, 61(6), 1327–1361. doi:10.1080/00207179508921959
   Web of Science ®Google Scholar
• Formentin, S., & Lovera, M. (2011, December). Flatness-based control of a quadrotor helicopter via feedforward linearization. In 50th IEEE conference on decision and control (pp. 6171–6176). doi:10.1109/CDC.2011.6160828
   Google Scholar
• Goffaux, G., Wouwer, A. V., & Bernard, O. (2009). Improving continuous-discrete interval observers with application to microalgae-based bioprocesses. Journal of Process Control, 19(7), 1182–1190. doi:10.1016/j.jprocont.2009.03.009
   Web of Science ®Google Scholar
• Gouzé, J. L., Rapaport, A., & Hadj-Sadok, M. Z. (2000). Interval observers for uncertain biological systems. Ecological Modelling, 133(1–2), 45–56. doi: 10.1016/S0304-3800(00)00279-9
   Web of Science ®Google Scholar
• Hagenmeyer, V., & Delaleau, E. (2003). Exact feedforward linearization based on differential flatness. International Journal of Control, 76(6), 537–556. doi: 10.1080/0020717031000089570
   Web of Science ®Google Scholar
• Ifqir, S., Oufroukh, N. A., Ichalal, D., & Mammar, S. (2017). Interval observer for LPV systems: Application to vehicle lateral dynamics. IFAC-PapersOnLine, 50(1), 7572–7577. doi:10.1016/j.ifacol.2017.08.995
   Google Scholar
• Jeong, S., & Chwa, D. (2018). Coupled multiple sliding-mode control for robust trajectory tracking of hovercraft with external disturbances. IEEE Transactions on Industrial Electronics, 65(5), 4103–4113. doi:10.1109/TIE.2017.2774772
   Web of Science ®Google Scholar
• Jia, Z., Yu, J., Mei, Y., Chen, Y., Shen, Y., & Ai, X. (2017). Integral backstepping sliding mode control for quadrotor helicopter under external uncertain disturbances. Aerospace Science and Technology, 68, 299–307. doi:10.1016/j.ast.2017.05.022
   Web of Science ®Google Scholar
• Kocer, B. B., Tjahjowidodo, T., & Seet, G. G. L. (2018). Centralized predictive ceiling interaction control of quadrotor VTOL UAV. Aerospace Science and Technology, 76(0), 455–465. doi:10.1016/j.ast.2018.02.020
   Web of Science ®Google Scholar
• Lamouchi, R., Raïssi, T., Amairi, M., & Aoun, M. (2017a). Interval observer framework for fault-tolerant control of linear parameter-varying systems. International Journal of Control, 91(3), 524–533. doi:10.1080/00207179.2017.1286042
   Web of Science ®Google Scholar
• Lamouchi, R., Raïssi, T., Amairi, M., & Aoun, M. (2017b). Actuator fault compensation in a set-membership framework for linear parameter-varying systems. IFAC-PapersOnLine, 50(1), 4033–4038. doi:10.1016/j.ifacol.2017.08.721
   Google Scholar
• Li, S., Li, B., & Geng, Q. (2014). Adaptive sliding mode control for quadrotor helicopters. In The 33rd Chinese control conference (pp. 71–76). doi:10.1109/ChiCC.2014.6896598
   Google Scholar
• Limaverde, Filho, Fortaleza, E., Murilo, A., & Lopes, R. V. (2016, September). Trajectory tracking for a quadrotor system: A flatness-based nonlinear predictive control approach. In IEEE conference on control applications (CCA) (pp. 1380–1385). doi:10.1109/CCA.2016.7587999
   Google Scholar
• Liu, Q. F, Wang, C. Y., Hu, Y. F., & Chen, H. (2016). Flatness-based feedforward and feedback control for fuel rail system of gasoline direct injection engine. IFAC-PapersOnLine, 49(11), 775–780. doi:10.1016/j.ifacol.2016.08.113
   Google Scholar
• Lu, H., Liu, C., Coombes, M., Guo, L., & Chen, W. H. (2016). Online optimisation-based backstepping control design with application to quadrotor. IET Control Theory & Applications, 10(14), 1601–1611. doi:10.1049/iet-cta.2015.0976
   Web of Science ®Google Scholar
• Luviano-Juárez, A., Cortés-Romero, J., & Sira-Ramírez, H. (2015). Trajectory tracking control of a mobile robot through a flatness-based exact feedforward linearization scheme. Journal of Dynamic Systems, Measurement, and Control, 137(5), 051001. doi:10.1115/1.4028872
   Web of Science ®Google Scholar
• Ma, D., Xia, Y., Li, T., & Chang, K. (2016). Active disturbance rejection and predictive control strategy for a quadrotor helicopter. IET Control Theory & Applications, 10(17), 2213–2222. doi:10.1049/iet-cta.2016.0125
   Web of Science ®Google Scholar
• Mazenc, F., & Bernard, O. (2010). Asymptotically stable interval observers for planar systems with complex poles. IEEE Transactions on Automatic Control, 55(2), 523–527. doi:10.1109/TAC.2009.2037472
   Web of Science ®Google Scholar
• Meslem, N., & Ramdani, N. (2011). Interval observer design based on nonlinear hybridization and practical stability analysis. International Journal of Adaptive Control and Signal Processing, 25(3), 228–248. doi:10.1002/acs.1208
   Web of Science ®Google Scholar
• Meyer, L., Ichalal, D., & Vigneron, V. (2017). Interval observer for LPV systems with unknown inputs. IET Control Theory & Applications, 12(5), 649–660. doi:10.1049/iet-cta.2017.0788
   Web of Science ®Google Scholar
• Raïssi, T., Efimov, D., & Zolghadri, A. (2012). Interval state estimation for a class of nonlinear systems. IEEE Transactions on Automatic Control, 57(1), 260–265. doi:10.1109/TAC.2011.2164820
   Web of Science ®Google Scholar
• Santos, M. C. P., Rosales, C. D., Sarapura, J. A., Sarcinelli-Filho, M., & Carelli, R. (2019). An adaptive dynamic controller for quadrotor to perform trajectory tracking tasks. Journal of Intelligent & Robotic Systems, 93(1-2), 5–16. doi: 10.1007/s10846-018-0799-3
   Web of Science ®Google Scholar
• Taamallaha, S., Bombois, X., & Van den Hof, P. M. (2017). Trajectory planning and trajectory tracking for a small-scale helicopter in autorotation. Control Engineering Practice, 58, 88–106. doi:10.1016/j.conengprac.2016.08.009
   Web of Science ®Google Scholar
• Wang, Y., Bevly, D. M., & Rajamani, R. (2015). Interval observer design for LPV systems with parametric uncertainty. Automatica, 60, 79–85. doi:10.1016/j.automatica.2015.07.001
   Web of Science ®Google Scholar
• Wang, R., & Liu, J. (2017). Adaptive formation control of quadrotor unmanned aerial vehicles with bounded control thrust. Chinese Journal of Aeronautics, 30(2), 807–817. doi:10.1016/j.cja.2017.01.007
   Web of Science ®Google Scholar
• Xiong, J. J., & Zhang, G. B. (2017). Global fast dynamic terminal sliding mode control for a quadrotor UAV. ISA Transactions, 66(0), 233–240. doi:10.1016/j.isatra.2016.09.019
   PubMed Web of Science ®Google Scholar
• Zhang, Z. H., & Yang, G. H. (2017). Interval observer-based fault isolation for discrete-time fuzzy interconnected systems with unknown interconnections. IEEE Transactions On Cybernetics, 47(9), 2413–2424. doi:10.1109/TCYB.2017.2707462
   PubMed Web of Science ®Google Scholar
• Zheng, G., Efimov, D., Bejarano, F. J., Perruquetti, W., & Wang, H. (2016). Interval observer for a class of uncertain nonlinear singular systems. Automatica, 71, 159–168. doi: 10.1016/j.automatica.2016.04.002
   Web of Science ®Google Scholar
• Zheng, G., Efimov, D., & Perruquetti, W. (2016). Design of interval observer for a class of uncertain unobservable nonlinear systems. Automatica, 63, 167–174. doi:10.1016/j.automatica.2015.10.007
   Web of Science ®Google Scholar
• Zheng, E. H., Xiong, J. J., & Luo, J. L. (2014). Second order sliding mode control for a quadrotor UAV. ISA Transactions, 53(4), 1350–1356. doi:10.1016/j.isatra.2014.03.010
   PubMed Web of Science ®Google Scholar
• Zou, Y., & Meng, Z. (2018). Immersion and invariance-based adaptive controller for quadrotor systems. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 99, 1–10. doi:10.1109/TSMC.2018.2790929
   Web of Science ®Google Scholar