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Regular papers

Geometric control of quadrotor with finite-time convergence and improved transients

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Pages 1396-1413 | Received 17 Dec 2019, Accepted 25 Nov 2020, Published online: 14 Dec 2020

References

  • Bhat, S. P., & Bernstein, D. S. (1997a, June). Finite-time stability of homogeneous systems. In Proceedings of the 1997 American control conference (Cat. no. 97ch36041) (Vol. 4, pp. 2513–2514). IEEE.
  • Bhat, S. P., & Bernstein, D. S. (1997b, June). Finite-time stability of homogeneous systems. In Proceedings of the 1997 American control conference (Cat. no. 97ch36041) (Vol. 4, pp. 2513–2514). IEEE.
  • Bhat, S. P., & Bernstein, D. S. (1998a, June). A topological obstruction to global asymptotic stabilization of rotational motion and the unwinding phenomenon. In Proceedings of the 1998 American control conference. ACC (IEEE cat. no. 98ch36207) (Vol. 5, pp. 2785–2789). IEEE.
  • Bhat, S. P., & Bernstein, D. S. (1998b, May). Continuous finite-time stabilization of the translational and rotational double integrators. IEEE Transactions on Automatic Control, 43(5), 678–682. https://doi.org/10.1109/9.668834
  • Bhat, S. P., & Bernstein, D. S. (2000). Finite-time stability of continuous autonomous systems. SIAM Journal on Control and Optimization, 38(3), 751–766. https://doi.org/10.1137/S0363012997321358
  • Bhat, S. P., & Bernstein, D. S. (2005, June 1). Geometric homogeneity with applications to finite-time stability. Mathematics of Control, Signals, and Systems, 17(2), 101–127. https://doi.org/10.1007/s00498-005-0151-x
  • Bohn, J., & Sanyal, A. K. (2016). Almost global finite-time stabilization of rigid body attitude dynamics using rotation matrices. International Journal of Robust and Nonlinear Control, 26(9), 2008–2022. https://doi.org/10.1002/rnc.v26.9
  • Bouabdallah, S., Noth, A., & Siegwart, R. (2004, September). PID vs LQ control techniques applied to an indoor micro quadrotor. In 2004 IEEE/RSJ international conference on intelligent robots and systems (IROS) (IEEE cat. no. 04ch37566) (Vol. 3, pp. 2451–2456). IEEE.
  • Bouabdallah, S., & Siegwart, R. (2005, April). Backstepping and sliding-mode techniques applied to an indoor micro quadrotor. In Proceedings of the 2005 IEEE international conference on robotics and automation (pp. 2247–2252). IEEE.
  • Bullo, F., & Lewis, A. D. (2004). Geometric control of mechanical systems: Modeling, analysis, and design for simple mechanical control systems (Vol. 49). Springer Science & Business Media.
  • Das, A., Subbarao, K., & Lewis, F. (2009, March). Dynamic inversion with zero-dynamics stabilisation for quadrotor control. IET Control Theory & Applications, 3(3), 303–314. https://doi.org/10.1049/iet-cta:20080002
  • Du, H., Jiang, C., Wen, G., Zhu, W., & Cheng, Y. (2019). Current sharing control for parallel DC-DC buck converters based on finite-time control technique. IEEE Transactions on Industrial Informatics, 15(4), 2186–2198. https://doi.org/10.1109/TII.9424
  • Du, H., & Li, S. (2011). Finite-time attitude stabilization for a rigid spacecraft using homogeneous method. IFAC Proceedings Volumes, 44(1), 2620–2625. 18th IFAC World Congress. https://doi.org/10.3182/20110828-6-IT-1002.01261
  • Du, H., Li, S., & Qian, C. (2011, November). Finite-time attitude tracking control of spacecraft with application to attitude synchronization. IEEE Transactions on Automatic Control, 56(11), 2711–2717. https://doi.org/10.1109/TAC.2011.2159419
  • Du, H., Wen, G., Cheng, Y., & Lu, J. (2020, February). Design and implementation of bounded finite-time control algorithm for speed regulation of permanent magnet synchronous motor. IEEE Transactions on Industrial Electronics (p. 1). IEEE.
  • Garg, K., & Panagou, D. (2018, June). New results on finite-time stability: Geometric conditions and finite-time controllers. In Proceedings of the 2018 American control conference (pp. 442–447). IEEE.
  • Hardy, G., Collection, K. M. R., Littlewood, J., Pólya, G., Littlewood, D., & Pólya, G. (1952). Inequalities. Cambridge University Press.
  • Hong, Y., Xu, Y., & Huang, J. (2002). Finite-time control for robot manipulators. Systems & Control Letters, 46(4), 243–253. https://doi.org/10.1016/S0167-6911(02)00130-5
  • Invernizzi, D., & Lovera, M. (2017). Geometric tracking control of a quadcopter tiltrotor UAV. IFAC-PapersOnLine, 50(1), 11565–11570. 20th IFAC World Congress. https://doi.org/10.1016/j.ifacol.2017.08.1645
  • Lan, Q., Qian, C., & Li, S. (2017, April). Finite-time disturbance observer design and attitude tracking control of a rigid spacecraft. Journal of Dynamic Systems, Measurement, and Control, 139(6). https://doi.org/10.1115/1.4035457
  • Lee, T. (2013, September). Robust adaptive attitude tracking on SO(3) with an application to a quadrotor UAV. IEEE Transactions on Control Systems Technology, 21(5), 1924–1930. https://doi.org/10.1109/TCST.2012.2209887
  • Lee, T., Leok, M., & McClamroch, N. H. (2010, December). Geometric tracking control of a quadrotor UAV on SE(3). In 49th IEEE conference on decision and control (CDC) (pp. 5420–5425). IEEE.
  • Lee, T., Leok, M., & McClamroch, N. H. (2011). Stable manifolds of saddle equilibria for pendulum dynamics on S 2 and SO (3). In 2011 50th IEEE conference on decision and control and European control conference (pp. 3915–3921). IEEE.
  • Lee, T., Leok, M., & McClamroch, N. H. (2012, June). Nonlinear robust tracking control of a quadrotor UAV on SE(3). In 2012 American control conference (ACC) (pp. 4649–4654). IEEE.
  • Lee, T., Leok, M., & McClamroch, N. H. (2013). Nonlinear robust tracking control of a quadrotor UAV on SE(3). Asian Journal of Control, 15(2), 391–408. https://doi.org/10.1002/asjc.2013.15.issue-2
  • Madani, T., & Benallegue, A. (2006, December). Control of a quadrotor mini-helicopter via full state backstepping technique. In Proceedings of the 45th IEEE conference on decision and control (pp. 1515–1520). IEEE.
  • Mellinger, D., & Kumar, V. (2011, May). Minimum snap trajectory generation and control for quadrotors. In 2011 IEEE international conference on robotics and automation (pp. 2520–2525). IEEE.
  • Mistler, V., Benallegue, A., & M'Sirdi, N. K. (2001). Exact linearization and noninteracting control of a 4 rotors helicopter via dynamic feedback. In Proceedings 10th IEEE international workshop on robot and human interactive communication. Roman 2001 (Cat. no. 01th8591) (pp. 586–593). IEEE.
  • Sanyal, A. K., Bohn, J., & Bloch, A. M. (2013, December). Almost global finite time stabilization of rigid body attitude dynamics. In 52nd IEEE conference on decision and control (pp. 3261–3266). IEEE.
  • Tayebi, A., & McGilvray, S. (2004, December). Attitude stabilization of a four-rotor aerial robot. In 2004 43rd IEEE conference on decision and control (CDC) (IEEE cat. no. 04ch37601) (Vol. 2, pp. 1216–1221). IEEE.
  • Tian, B., Cui, J., Lu, H., Zuo, Z., & Zong, Q. (2019, December). Adaptive finite-time attitude tracking of quadrotors with experiments and comparisons. IEEE Transactions on Industrial Electronics, 66(12), 9428–9438. https://doi.org/10.1109/TIE.41
  • Tian, B., Liu, L., Lu, H., Zuo, Z., Zong, Q., & Zhang, Y. (2018, March). Multivariable finite time attitude control for quadrotor UAV: Theory and experimentation. IEEE Transactions on Industrial Electronics, 65(3), 2567–2577. https://doi.org/10.1109/TIE.2017.2739700
  • Viswanathan, S. P., Sanyal, A. K., & Izadi, M. (2017). Integrated guidance and nonlinear feedback control of underactuated unmanned aerial vehicles in SE(3). In AIAA guidance, navigation, and control conference. AIAA.
  • Viswanathan, S. P., Sanyal, A. K., & Warier, R. R. (2017, May). Finite-time stable tracking control for a class of underactuated aerial vehicles in SE(3). In 2017 American control conference (ACC) (pp. 3926–3931). IEEE.
  • Warier, R. R., Sanyal, A. K., Sukumar, S., & Viswanathan, S. P. (2017, May). Feedback tracking control schemes for a class of underactuated vehicles in SE(3). In 2017 American control conference (ACC) (pp. 899–904). IEEE.
  • Xu, R., & Ozguner, U. (2006, December). Sliding mode control of a quadrotor helicopter. In Proceedings of the 45th IEEE conference on decision and control (pp. 4957–4962). IEEE.
  • Xu, R., & Ozguner, U. (2008). Sliding mode control of a class of underactuated systems. Automatica, 44(1), 233–241. https://doi.org/10.1016/j.automatica.2007.05.014

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