International Journal of Aeronautical and Space Sciences

The Korean Society for Aeronautical and Space Sciences (한국항공우주학회)
권호 표지
DOI QR코드

DOI QR Code

An Improved Hybrid Kalman Filter Design for Aircraft Engine based on a Velocity-Based LPV Framework

  • Liu, Xiaofeng (School of Transportation Science and Engineering, Beihang University)
  • Received : 2016.07.13
  • Accepted : 2017.08.11
  • Published : 2017.09.30
Download PDF
⟨ Previous Next ⟩

Abstract

In-flight aircraft engine performance estimation is one of the key techniques for advanced intelligent engine control and in-flight fault detection, isolation and accommodation. This paper detailed the current performance degradation estimation methods, and an improved hybrid Kalman filter via velocity-based LPV (VLPV) framework for these needs is proposed in this paper. Composed of a nonlinear on-board model (NOBM) and VLPV, the filter shows a hybrid architecture. The outputs of NOBM are used for the baseline of the VLPV Kalman filter, while the system performance degradation factors on-line estimated by the measured real system output deviations are fed back to the NOBM for its updating. In addition, the setting of the process and measurement noise covariance matrices' values are also discussed. By applying it to a commercial turbofan engine, simulation results show the efficiency.

Keywords

References

  1. Adibhatla, Shrider, et al. "Model-based intelligent digital engine control (MoBIDEC)." Joint Propulsion Conference and Exhibit, 2013.
  2. Simon, Dan, and D. L. Simon. "Aircraft Turbofan Engine Health Estimation Using Constrained Kalman Filtering." Journal of Engineering for Gas Turbines & Power 127.2, 2003, pp. 1930-4.
  3. Luppold R, Roman J, Gallops G, et al. "Estimating inflight engine performance variations using Kalman filter concepts", 25th Joint Propulsion Conference, Joint Propulsion Conferences, 1989.
  4. Volponi, A., D. L. Simon. "Enhanced Self-Tuning On-Board Real-Time Model (eSTORM) for Aircraft Engine Performance Health Tracking." NASA Technical Report, 2008.
  5. Simon, T.K.D., "Hybrid Kalman Filter: A New Approach for Aircraft Engine In-Flight Diagnostics." NASA Technical Report, 2006.
  6. Tanizaki, H., "Nonlinear filters: estimation and applications." Berlin: Springer, Vol. 400. 1996.
  7. Gan, Q. and C.J. Harris, "Fuzzy local linearization and local basis function expansion in nonlinear system modeling." Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on, Vol. 29, Issue 4, 1999, pp. 559-565. https://doi.org/10.1109/3477.775275
  8. Kailath, T., "Linear systems." New Jersey: Prentice-Hall Englewood Cliffs, 1980.
  9. Shamma, J.S. and M. Athans, "Gain scheduling: Potential hazards and possible remedies." Control Systems, Vol. 12 Issue 3, 1992, pp. 101-107. https://doi.org/10.1109/37.165527
  10. Leith, D.J. and W.E. Leithead, "On formulating nonlinear dynamics in LPV form, in Proceedings of the 39th IEEE Conference on Decision and Control." IEEE: Sydney. 2000, pp. 3526-3527.
  11. Sommer, S. and U. Korn. "Modeling a class of nonlinear plants as LPV-systems via nonlinear state-transformation." in 3rd IMACS symposium on Mathematical Modeling. 2000.
  12. Packard, A. and M. Kantner. "Gain scheduling the LPV way." Decision and Control, 1996. Proceedings of the, IEEE IEEE Xplore, vol.4, 1997, pp. 3938-3941.
  13. Bruzelius, F. and C. Breitholtz. "Gain scheduling via affine linear parameter-varying systems and $H_{\infty}$ synthesis." Decision and Control, 2001. Proceedings of the, IEEE Conference on IEEE, vol. 3, 2001, pp. 2386-2391.
  14. Shamma, J.S. and M. Athans, "Analysis of gain scheduled control for nonlinear plants." IEEE Transactions on Automatic Control, Vol. 35, Issue 8, 1990, pp. 898-907. https://doi.org/10.1109/9.58498
  15. Rugh, W.J., "Analytical framework for gain scheduling." Control Systems, 1991. Vol.11, Issue 1, 1991, pp. 79-84.
  16. Apkarian, P. and P. Gahinet, "A convex characterization of gain-scheduled $H_{\infty}$ controllers." IEEE Transactions on Automatic Control, Vol 40, Issue 5, 1995, pp. 853-864. https://doi.org/10.1109/9.384219
  17. Whatley, M.J. and D.C. Pott, "Adaptive gain improves reactor control." Hydrocarbon processing, Vol. 63, Issue 5, 1984. pp. 75-78.
  18. Leith, D.J. and W.E. Leithead, "Survey of gainscheduling analysis and design." International Journal of Control, Vol. 73, Issue 11, 2000, pp. 1001-1025. https://doi.org/10.1080/002071700411304
  19. Shamma, J.S., "Analysis and design of gain scheduled control systems." Massachusetts Institute of Technology, 1988.
  20. Henrion, D., J. Bernussou, and D. Boyer, "Polynomial LPV synthesis applied to turbofan engines." Control Engineering Practice, 2008, pp. 1-7.
  21. Wolodkin, G., G. Balas, and W. Garrard, "Application of Parameter-Dependent Robust Control Synthesis to Turbofan Engines." Journal of Guidance, Control, and Dynamics, Vol. 22, Issue 6, 1998, pp. 833-838. https://doi.org/10.1016/S0165-1889(97)00103-6
  22. Liu, X. and L. Zhao, "Approximate Nonlinear Modeling of Aircraft Engine Surge Margin Based on Equilibrium Manifold Expansion." Chinese Journal of Aeronautics, Vol. 25, Issue 5, 2012, pp. 663-674. https://doi.org/10.1016/S1000-9361(11)60432-9
  23. Leith, D. and W. Leithead, "Gain-scheduled and nonlinear systems: dynamic analysis by velocity-based linearization families." International Journal of Control, Vol. 70, Issue 2,1998, pp. 289-317. https://doi.org/10.1080/002071798222415
  24. Liu, X., et al., "Design for Aircraft Engine Multiobjective Controllers with Switching Characteristics." Chinese Journal of Aeronautics, Vol. 27, Issue 5, 2014, pp. 1097-1110. https://doi.org/10.1016/j.cja.2014.08.002
  25. Musoff, H. and P. Zarchan, "Fundamentals of Kalman Filtering: A Practical Approach, Second Edition." Progress in Astronautics & Aeronautics, Vol. 190, Issue 8, 2005, pp. 83.