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Fault Tolerant Estimation of UAV Dynamics via Robust Adaptive Kalman Filter

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Complex Systems

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 55))

Abstract

A covariance scaling based robust adaptive Kalman filter (RAKF) algorithm is developed for the case of sensor/actuator faults. The proposed RAKF uses variable scale factors for scaling the process and measurement noise covariances and eliminating the effect of the faults on the estimation procedure. At first, the existing covariance estimation based adaptation techniques are reviewed. Then the covariance scaling methods with single and multiple factors are discussed. After choosing the efficient adaptation method an overall concept for the RAKF is proposed. In this concept, the filter initially isolates the fault, either in the sensors or in the actuators, and then it applies the required adaptation process such that the estimation characteristic is not deteriorated. The performance of the proposed filters is investigated via simulations for the UAV state estimation problem. The results of the presented algorithms are compared for different types of sensor/actuator faults and recommendations about their application are given within this scope.

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References

  1. Austin, R.: Unmanned Aircraft Systems: UAVs Design, Development and Deployment. Wiley, West Sussex (2010)

    Book  Google Scholar 

  2. Parra, S.L., Angel, J.: Low Cost Navigation System for UAVs. Aerosp. Sci. Technol. 9, 504–516 (2005)

    Article  MATH  Google Scholar 

  3. Kobayashi, Y., Takahashi, M.: Design of intelligent fault-tolerant flight control system for unmanned aerial vehicles. In: Agneta, B. (ed.) Advances in Flight Control Systems. InTech, Rijeka, Croatia (2011)

    Google Scholar 

  4. Zhang, Y., Li, X.R.: Detection and diagnosis of sensor and actuator failures using interacting multiple-model estimator. In: Proceedings of 36th IEEE Conference on Decision and Control, 5, 4475-4480 (1997)

    Google Scholar 

  5. Maybeck, P.S.: Multiple model adaptive algorithms for detecting and compensating sensor and actuator/surface failures in aircraft flight control systems. Int. J. Robust Nonlinear Control 9, 1051–1070 (1999)

    Article  Google Scholar 

  6. White, N.A., Maybeck, P.S., DcVilbiss, S.L.: MMAE detection of interference/jamming and spoofing in a DGPS-aided inertial system. IEEE Trans. Aerosp. Electron. Syst. 34, 1208–1217 (1998)

    Article  Google Scholar 

  7. Mehra, R.K.: On the identification of variance and adaptive kalman filtering. IEEE Trans. Autom. Control 15, 175–184 (1970)

    Article  MathSciNet  Google Scholar 

  8. Maybeck, P.S.: Stochastic Models, Estimation, and Control, vols. I and II. Academic Press, New York (1982)

    Google Scholar 

  9. Salychev, O.S.: Special studies in dynamic estimation procedures with case studies in inertial surveying, ENGO 699. In: 26 Lecture Notes, Department of Geomatics Engineering, University of Calgary, Calgary, Canada (1994)

    Google Scholar 

  10. Mohamed, A.H., Schwarz, K.P.: Adaptive falman filter for INS/GPS. J. Geodesy 73, 193–203 (1999)

    Article  MATH  Google Scholar 

  11. Wang, J., Stewart, M.P., Tsakiri, M.: Adaptive kalman filtering for integration of GPS with GLONASS and INS. In: Proceedings of the 1999 International Geodesy Symposia (IUGG 99). Birmingham, UK (1999)

    Google Scholar 

  12. Hajiyev, C., Caliskan, F.: Sensor/actuator fault diagnosis based on statistical analysis of innovation sequence and robust kalman filtering. Aerosp. Sci. Technol. 4, 415–422 (2000)

    Article  MATH  Google Scholar 

  13. Hide, C., Moore, T., Smith, M.: Adaptive kalman filtering algorithms for integrating GPS and low cost INS. In: Proceedings on the Position Location and Navigation Symposium, Monterey, USA. pp. 227-233. Monterey (2004)

    Google Scholar 

  14. Hu, C., Chen, W., Chen, Y., Liu, D.: Adaptive kalman filtering for vehicle navigation. J. Global Positioning Syst. 2, 42–47 (2003)

    Article  Google Scholar 

  15. Ding, W., Wang, J., Rizos, C.: Improving adaptive kalman estimation in GPS/INS integration. J. Navig. 60, 517–529 (2007)

    Article  Google Scholar 

  16. Geng, Y., Wang, J.: Adaptive estimation of multiple fading factors in kalman filter for navigation applications. GPS Solutions 12, 273–279 (2008)

    Article  Google Scholar 

  17. Hajiyev, C.: Adaptive filtration algorithm with the filter gain correction applied to integrated INS/Radar altimeter. Proc. Inst. Mech. Eng. Part G: J. Aerosp. Eng. 221, 847–885 (2007)

    Article  Google Scholar 

  18. Kim, K.H., Lee, J.G., Park, C.G.: Adaptive two-stage kalman filter in the presence of unknown random bias. Int. J. Adapt. Control Signal Process. 20, 305–319 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  19. Jwo, D.J., Weng, T.P.: An adaptive sensor fusion method with applications in integrated navigation. J. Navig. 61, 705–721 (2008)

    Article  Google Scholar 

  20. Jwo, D.J., Chang, S.C.: Particle swam optimization for GPS navigation kalman Filter. Aircr. Eng. Aerosp. Technol.: Int. J. 81, 343–352 (2009)

    Article  Google Scholar 

  21. Yechout, T.R., Morris, S.L., Bossert, D.E., Hallgren, W.F.: Introduction to Aircraft Flight Mechanics: Performance, Static Stability, Dynamic Stability, and Classical Feedback Control. AIAA Education Series, Virginia (2003)

    Google Scholar 

  22. Nelson, R.C.: Flight Stability and Automatic Control. McGraw-Hill, Reading (1998)

    Google Scholar 

  23. Kalman, R.E.: A new approach to linear filtering and prediction problems. ASME J. Basic Eng. 82 Series D, 35--45 (1960)

    Google Scholar 

  24. Ogarkov, M.A.: Methods for Statistical Estimation of the Random Process’ Parameters (in Russian). Energoatomizdat, Moscow (1990)

    MATH  Google Scholar 

  25. Hajiyev, C., Soken, H.E.: Fault tolerant estimation of UAV dynamics via robust adaptive kalman filter. In: Proceedings of COSY 2011—Special International Conference on Complex Systems: Synergy of Control, Computing and Communications, Sept 16–20 2011, Ohrid, Macedonia, pp. 311–320. The ETAI Society, Skopje, Macedonia (2011)

    Google Scholar 

  26. Hajiyev, C., Soken, H.E.: Robust estimation of UAV dynamics in presence of measurements faults. ASCE J. Aerosp. Eng. 25–1, 1–10 (2012)

    Google Scholar 

  27. Matthews, J.S.: Adaptive Control of Micro Air Vehicles, M.Sc. Thesis, Department of Electrical and Computer Engineering, Brigham Young University, Utah, USA (2006)

    Google Scholar 

  28. Almagbile, A., Wang, J., Ding, W.: Evaluating the performance of adaptive kalman filter methods in GPS/INS integration. J. Global Positioning Syst. 9–1, 33–40 (2010)

    Article  Google Scholar 

  29. Hajiyev, C., Caliskan, F.: Sensor and control surface/actuator failure detection and isolation applied to F-16 flight dynamics. Aircr. Eng. Aerosp. Technol. Int. J. 77–2, 152–160 (2005)

    Article  Google Scholar 

  30. Hajiyev, C., Soken, H.E.: Robust Adaptive Kalman Filter for Estimation of UAV Dynamics in the Presence of Sensor/Actuator Faults. Aerosp. Sci. Technol. 28, 376–383 (2013)

    Article  Google Scholar 

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Correspondence to Chingiz Hajiyev .

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Hajiyev, C., Soken, H.E. (2016). Fault Tolerant Estimation of UAV Dynamics via Robust Adaptive Kalman Filter. In: Dimirovski, G. (eds) Complex Systems. Studies in Systems, Decision and Control, vol 55. Springer, Cham. https://doi.org/10.1007/978-3-319-28860-4_17

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  • DOI: https://doi.org/10.1007/978-3-319-28860-4_17

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