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Original Articles

Sliding mode differentiator/observer for quadcopter velocity estimation through sensor fusion

ORCID Icon & ORCID Icon
Pages 2113-2120 | Received 23 Feb 2017, Accepted 21 Dec 2017, Published online: 08 Jan 2018

References

  • Abeywardena, D. , Kodagoda, S. , & Dissanayake, G. (2013). Improved state estimation in quadrotor MAVs: A novel drift-free velocity estimator. IEEE Robotics & Automation Magazine, 20 (4), 32–39.
  • Anosov, D. V. (1959). On stability of equilibrium states of relay systems. Avtomatika i Telemekhanika, 20 , 135–149.
  • Atherton, D. P. (1975). Nonlinear control engineering - Describing function analysis and design . Wokingham, Berkshire: Van Nostrand.
  • Bartolini, G. , Ferrara, A. , Levant, A. , & Usai, E. (1999). On second order sliding mode controllers. In K. K. D. Young & U. Ozguner ( Eds.), Variable structure systems, sliding mode and nonlinear control. Lecture notes in control and information sciences 247 , (pp. 329–350). London: Springer-Verlag.
  • Benallegue, A. , Mokhtari, A. , & Fridman, L. (2008). High-order sliding-mode observer for a quadrotor UAV. International Journal of Robust and Nonlinear Control, 18 (5), 427–440.
  • Boiko, I. , & Fridman, L. (2005). Analysis of chattering in continuous sliding-mode controllers. IEEE Transactions on Automatic Control, 50 (9), 1442–1446.
  • Boiko, I. , & Fridman, L. (2006). Frequency domain input-output analysis of sliding-mode observers. IEEE Transactions on Automatic Control, 51 (11), 1798–1803.
  • Boiko, I. , Castellanos, I. , & Fridman, L. (2008). Analysis of response of second-order sliding mode controllers to external inputs in frequency domain. International Journal of Robust and Nonlinear Control, 18 , 502–514.
  • Boiko, I. (2009). Discontinuous control systems: Frequency-domain analysis and design . Boston, MA: Birkhauser.
  • Boiko, I. (2011). On frequency-domain criterion of finite-time convergence of second-order sliding mode control algorithms. Automatica, 47 (9), 1969–1973.
  • Burlington, R. S. (1973). Handbook of mathematical tables and formulas . New York, NY: McGraw-Hill.
  • Chehadeh, M. (2017a). PIquad, GitHub repository. Retrieved from https://github.com/MChehadeh/PIquad
  • Chehadeh, M. (2017b). userTerminal, GitHub repository. Retrieved from https://github.com/MChehadeh/userTerminal
  • Drakunov, S. , & Utkin, V. (1995). Sliding mode observers: Tutorial. Proceedings of the 34th IEEE conference on decision and control (Vol, 4, pp. 3376–3378). New Orleans, LA: IEEE.
  • Edwards, C. , & Spurgeon, S. K. (1994). On the development of discontinuous observers. International Journal of Control, 59 (5), 1211–1229.
  • Edwards, C. , & Spurgeon, S. K. (1998). Sliding mode control: Theory and applications . London: Taylor & Francis.
  • Fridman, L. , & Levant, A. (2002). Higher order sliding modes. In W. Perruquetti & J. P. Barbot ( Eds.), Sliding mode control in engineering (pp. 53–101). Control Engineering Series. New York-Basel: Marcel Dekker Inc.
  • Floquet, T. , Edwards, C. , & Spurgeon, S. K. (2007). On sliding mode observers for system with unknown inputs. International Journal of Adaptive Control and Signal Processing, 21 , 638–656.
  • Levant, A. (1993). Sliding order and sliding accuracy in sliding mode control. International Journal of Control, 58 (6), Special Issue on Differentiators Guest Editors: Leonid Fridman, Markus Reichhartinger, Denis Efimov 1247–1263.
  • Levant, A. (1998). Robust exact differentiation via sliding mode technique. Automatica , 34 (3), 379–384.
  • Levant, A. (2001). Universal SISO sliding-mode controllers with finite-time convergence. IEEE Transactions on Automatic Control, 46 (9), 1447–1451.
  • Leishman, R. C. , Macdonald, J. C. , & Beard, R. W. (2014). Quadrotors and accelerometers: State estimation with an improved dynamic model. IEEE Control Systems, 34 (1), 28–41.
  • Madgwick, S. , Harrison, A. , & Vaidyanathan, R. (2011). Estimation of IMU and MARG orientation using a gradient descent algorithm. Proceedings of the IEEE international conference on rehabilitation robotics (ICORR). Zurich, Switzerland: IEEE.
  • Shen, S. , Mulgaonkar, Y. , Michael, N. , & Kumar, V. (2013). Vision-based state estimation for autonomous rotorcraft MAVs in complex environments. IEEE international conference on robotics and automation (ICRA) . Karlsruhe, Germany: IEEE.
  • Shtessel, Y. , Edwards, C. , Fridman, L. , & Levant, A . (2014). Sliding mode control and observation . New York, NY: Springer.
  • Slotine, J.-J. E. , Hedrick, J. K. , & Misawa, E. A. (1987). On sliding observers for nonlinear systems. ASME Journal of Dynamic Systems and Control, 109 (3), 245–252.
  • Utkin, V. (1992). Sliding modes in control and optimization . New York, NY: Springer-Verlag.
  • Walcott, B. L. , Corless, M. J. , & Zak, S. H. (1987). Comparative study of non-linear state-observation techniques. International Journal of Control , 45 (6), 2109–2132.
  • Young, K. D. , Utkin, V. I. , & Ozguner, U. (1999). A control engineer's guide to sliding mode control. IEEE Transactions on Control System Technology, 7 (3), 328–342.

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