Abstract
This work addresses the problem of fault detection and diagnosis (FDD) for a quad-rotor mini aerial vehicle (MAV). Actuator faults are considered on this paper. The basic idea behind the proposed method is to estimate the faults signals using the extended state observers theory. To estimate the faults, a polynomial observer is presented by using the available measurements and know inputs of the system. In order to investigate the observability and diagnosability properties of the system, a differential algebra approach is proposed. Furthermore, an evaluation function depending on the system states is developed, in order to be used in a controller, which will compensate the failures. The effectiveness of the methodology is illustrated by means of numerical simulations and some experimental tests.
This work was partially supported by the Institute for Science & Technology of Mexico City (ICyTDF) and the Mexican National Council for Science and Technology (CONACYT).
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Flores, G., Escareno, J., Lozano, R., Salazar, S.: Quad-tilting rotor convertible mav: Modeling and real-time hover flight control. Journal of Intelligent and Robotic Systems 65(1-4), 457–471 (2012)
Bouabdallah, S., Siegwart, R.: Backstepping and sliding-mode techniques applied to an indoor micro quadrotor. In: In Proceedings of IEEE Int. Conf. on Robotics and Automation, Barcelona, Spain, pp. 2247–2252 (April 2005)
Flores, G., Lozano, R.: Lyapunov-based controller using singular perturbation theory: An application on a mini-uav. In: Proc. IEEE American Control Conference (ACC 2013), Washington, DC (to appear, June 2013)
Bertrand, S., Hamel, T., Piet-Lahanier, H.: Stability analysis of an uav controller using singular perturbation theory. In: Proceedings of the 17th World Congress The International Federation of Automatic Control, Seoul, Korea, pp. 5706–5711 (July 2008)
Flores, G., Garcia, L., Sanahuja, G., Lozano, R.: Pid switching control for a highway estimation and tracking applied on a convertible mini-uav. In: Proc. 51st IEEE Conference on Decision and Control (CDC 2012), Maui, HI, USA (December 2012) (to be published)
Khebbache, H.: Robust control algorithm considering the actuator faults for attitude tracking of an uav quadrotor aircraft. International Journal of Control and Automation 5(4), 55–66 (2012)
Freddi, A., Longhi, S., Monteriù, A.: A model-based fault diagnosis system for a mini-quadrotor. In: 7th Workshop on Advanced Control and Diagnosis (ACD 2009), Zielona Góra, Poland (November 2009)
Freddi, A., Longhi, S., Monteriù, A.: Actuator fault detection system for a mini-quadrotor. In: 2010 IEEE International Symposium on Industrial Electronics (ISIE), Bari, Italy, pp. 2055–2060 (July 2010)
Freddi, A., Lanzon, A., Longhi, S.: A feedback linearization approach to fault tolerance in quadrotor vehicles. In: Proceedings of The 2011 IFAC World Congress, Milan, Italy (2011)
Ranjbaran, M., Khorasani, K.: Fault recovery of an under-actuated quadrotor aerial vehicle. In: 2010 49th IEEE Conference on Decision and Control (CDC), pp. 4385–4392 (December 2010)
Fliess, M., Join, C., Sira-Ramirez, H.: Robust residual generation for linear fault diagnosis: an algebraic setting with examples. International Journal of Control 77(14), 1223–1242 (2004)
Fliess, M., Hebertt, Sira-Ramirez, o.: Control via state estimations of some nonlinear systems. In: IFAC Symposium on Nonlinear Control Systtems, NOLCOS 2004 (2004)
Rincon-Pasaye, J.J., Martinez-Guerra, R., Soria-Lopez, A.: Fault diagnosis in nonlinear systems: An application to a three-tank system. In: American Control Conference, pp. 2136–2141 (2008)
Martinez-Guerra, R., Luviano-Juarez, A.: Fault diagnosis of nonlinear systems using reduced-order observers and algebraic observers. In: 2006 45th IEEE Conference on Decision and Control, pp. 544–549 (2006)
Garcia-Beltran, C.D., Rodriguez-Palacios, A., Guerrero-Ramirez, G.V., Silva-Carranza, F.M., Sorcia-Vazquez, F.: Fault diagnosis of an induction motor based on differential algebra reconstructors. In: World Automation Congress (WAC), pp. 1–6 (June 2012)
Sierra, H.A., Martinez-Guerra, R., Mata-Machuca, J.L.: Fault diagnosis via a polynomial observer. In: 2011 8th International Conference on Electrical Engineering Computing Science and Automatic Control (CCE), pp. 1–6 (October 2011)
Mata-Machuca, J.L., Martinez-Guerra, R., Aguilar-López, R.: An exponential polynomial observer for synchronization of chaotic systems. Communications in Nonlinear Science and Numerical Simulation 15(12), 4114–4130 (2010)
Cruz-Victoria, J.C., Martínez-Guerra, R., Rincón-Pasaye, J.J.: On nonlinear systems diagnosis using differential and algebraic methods. Journal of the Franklin Institute 345(2), 102–118 (2008)
Khalil, H.K.: Nonlinear Systems. Prentice Hall, New York (2002)
Kokotović, P., Khalil, H.K., O’Reilly, J.: Singular Perturbation Methods in Control: Analysis and Design. Academic Press, London (1999)
Carrillo, L.R.G., Flores, G., Sanahuja, G., Lozano, R.: Quad-rotor switching control: An application for the task of path following. In: Proc. IEEE American Control Conference (ACC 2012), Montreall, Canada, pp. 4637–4642 (June 2012)
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Flores-Colunga, G.R., Aguilar-Sierra, H., Lozano, R., Salazar, S. (2014). Fault Estimation and Control for a Quad-Rotor MAV Using a Polynomial Observer. Part I: Fault Detection. In: Armada, M., Sanfeliu, A., Ferre, M. (eds) ROBOT2013: First Iberian Robotics Conference. Advances in Intelligent Systems and Computing, vol 252. Springer, Cham. https://doi.org/10.1007/978-3-319-03413-3_11
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DOI: https://doi.org/10.1007/978-3-319-03413-3_11
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