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Controllability Analysis and Degraded Control for a Class of Hexacopters Subject to Rotor Failures

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Abstract

This paper considers the controllability analysis and fault tolerant control problem for a class of hexacopters. It is shown that the considered hexacopter is uncontrollable when one rotor fails, even though the hexacopter is over-actuated and its controllability matrix is row full rank. According to this, a fault tolerant control strategy is proposed to control a degraded system, where the yaw states of the considered hexacopter are ignored. Theoretical analysis indicates that the degraded system is controllable if and only if the maximum lift of each rotor is greater than a certain value. The simulation and experiment results on a prototype hexacopter show the feasibility of our controllability analysis and degraded control strategy.

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References

  1. Zhang, Y.M., Jiang, J.: Bibliographical review on reconfigurable fault-tolerant control systems. Annu. Rev. Control. 32(2), 229–252 (2008)

    Article  Google Scholar 

  2. Balint, A.: Advances in Flight Control Systems. In: Tech, Croatia (2011)

  3. Ducard, G.: Fault-tolerant Flight Control and Guidance Systems: Practical Methods for Small Unmanned Aerial Vehicles. Springer, Heidelberg (2009)

    Book  Google Scholar 

  4. Sharifi, F., Mirzaei, M., Gordon, B.W., Zhang, Y.M.: Fault tolerant control of a quadrotor UAV using sliding mode control. In: 2010 Conference on Control and Fault Tolerant Systems, Nice, France (2010)

  5. Milhim, A.B., Zhang, Y.M., Rabbath, C.A.: Gain scheduling based PID controller for fault tolerant control of a quad-rotor UAV. AIAA Infotech@Aerospace, Atlanta, Georgia (2010)

  6. Sadeghzadeh, I., Mehta, A., Zhang, Y.M.: Fault/damage tolerant control of a quadrotor helicopter UAV using model reference adaptive control and gain-scheduled PID. In: AIAA Guidance, Navigation, and Control Conference, Portland, Oregon (2011)

  7. Yu, B., Zhang, Y.M., Minchala, I., Qu, Y.: Fault-tolerant control with linear quadratic and model predictive control techniques against actuator faults in a quadrotor UAV. In: 2013 Conference on Control and Fault-Tolerant Systems, Nice, France (2013)

  8. Chamseddine, A., Theilliol, D., Zhang, Y.M., Join, C., Rabbath, C.-A.: Active fault-tolerant control system design with trajectory re-planning against actuator faults and saturation: application to a quadrotor unmanned aerial vehicle. International Journal Adapt Control Signal Process. Article first published online: 25 NOV 2013

  9. Zhang, Y.M., Chamseddine, A., Rabbath, C., Gordon, B., Su, C.-Y., Rakheja, S., Fulford, C., Apkarian, J., Gosselin, P.: Development of advanced FDD and FTC techniques with application to an unmanned quadrotor helicopter testbed. J. Frankl. Inst. 350(9), 2396–2422 (2013)

    Article  MATH  Google Scholar 

  10. Amoozgar, M., Chamseddine, A., Zhang, Y.M.: Experimental test of a two-stage Kalman filter for actuator fault detection and diagnosis of an unmanned quadrotor helicopter. J. Intell. and Robot. Syst. 70(1), 107–117 (2013)

    Article  Google Scholar 

  11. Sadeghzadeh, I., Zhang, Y.M.: A review on fault-tolerant control for unmanned aerial vehicles (UAVs). In: AIAA Infotech@Aerospace, St. Louis, Missouri (2011)

  12. Schneider, T., Ducard, G., Rudin, K., Strupler, P.: Fault-tolerant control allocation for multirotor helicopters using parametric programming. In: International Micro Air Vehicle Confrence and Flight Competition, Braunschweig, Germany (2012)

  13. D’Andrea, R. http://new.ted.com/talks/raffaello_d_andrea_the_astounding_athletic_power_of_quadcopters (2014)

  14. Brammer, R.F.: Controllability in linear autonomous systems with positive controllers. SIAM J. Control. 10(2), 779–805 (1972)

    Article  MathSciNet  Google Scholar 

  15. Du, G.X., Quan, Q., Cai, K.Y.: Additive-state-decomposition-based dynamic inversion stabilized control of a hexacopter subject to unknown propeller damages. In: Proceedings of the 32nd Chinese Control Conference, pp. 6231-6236, Xi’an, China (2013)

  16. Ducard, G., Hua, M-D: Discussion and practical aspects on control allocation for a multi-rotor helicopter. In:Proceedings of the 1st International Conference on UAVs in Geomatics, UAV-g 2011, Zurich, Switzerland (2011)

  17. Oppenheimer, M., Doman, D., Bolender, M.: Control allocation for over-actuated systems. In: 14th Mediterranean Conference on Control and Automation. Ancona, Italy (2006)

  18. Demenkov, M.: Geometric Algorithms for Input Constrained Systems with Application to Flight Control. Dissertation, De Montfort University, Leicester, UK (2007)

    Google Scholar 

  19. Boyd, S., Vandenberghe, L.: Convex Optimization . Cambridge University Press, New York (2004)

    Book  MATH  Google Scholar 

  20. Du, G.X. http://www.youtube.com/watch?v=rxaW8F98smw. (2014)

  21. Jeffrey, A.: Advanced Engineering Mathematics. Harcourt/ Academic Press, Burlington (2002)

    MATH  Google Scholar 

  22. Goodwin, G., Seron, M., De Doná, J.: Constrained Control and Estimation: An Optimisation Approach. Springer-Verlag, London (2005)

    Book  Google Scholar 

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Du, GX., Quan, Q. & Cai, KY. Controllability Analysis and Degraded Control for a Class of Hexacopters Subject to Rotor Failures. J Intell Robot Syst 78, 143–157 (2015). https://doi.org/10.1007/s10846-014-0103-0

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  • DOI: https://doi.org/10.1007/s10846-014-0103-0

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