Journal of the Korean Society for Aeronautical & Space Sciences (한국항공우주학회지)

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

DOI QR Code

Design of Nonlinear Unknown Input Observer by SDRE Method and Fault Detection of Reaction Wheels

SDRE 기법을 이용한 비선형 미지입력 관측기 설계와 반작용 휠의 고장 검출

  • Received : 2013.01.19
  • Accepted : 2013.03.31
  • Published : 2013.04.01
Download PDF
⟨ Previous Next ⟩

Abstract

The authors propose a nonlinear unknown input observer to estimate the angular speed of a satellite and to detect faults of reaction wheels. Input values are necessary to estimate the angular speed. Therefore, estimation errors are inevitable if faults occur in actuators or reaction wheels. Unknown input observers are useful to estimate the states of a system without being affected by unknown faults. The authors have designed a nonlinear unknown input observer by using the SDRE method and verified the proposed observer via numerical simulations. In spite of various and simultaneous faults, we have estimated the states and detected faults exactly by the proposed nonlinear unknown input observer.

위성의 각속도를 추정하고 반작용 휠의 고장을 검출하기 위하여 비선형 미지입력 관측기를 제안하였다. 위성의 각속도 추정을 위해서 입력 값을 필요로 하는데, 구동기에 고장이 발생하는 경우에 정확한 각속도 추정이 어렵다. 미지입력 관측기는 미지의 고장에 영향을 받지 않으면서 상태추정이 가능하다. 본 논문에서는 SDRE 기법을 적용하여 비선형 미지입력 관측기를 설계하였고, 시뮬레이션을 이용하여 제안한 방법을 검증하였다. 다양한 형태로 동시에 고장이 발생하더라도, 각속도 추정 및 고장 검출이 가능하였다.

Keywords

References

  1. Carmi, A., and Oshman, Y., "Fast particle filtering for attitude and angular rate estimation from vector observations," Journal of Guidance, Control, and Dynamics, Vol.32, No.1, 2009, pp.70-78. https://doi.org/10.2514/1.36979
  2. Tortora, P., et. al. "Spacecraft angular rate estimation from magnetometer data using an analytic predictor," Journal of Guidance, Control, and Dynamics, Vol. 27, No. 3, 2004, pp.365-373. https://doi.org/10.2514/1.10332
  3. Oshman, Y., and Dellus, F., "Spacecraft angular velocity estimation using sequential observation of a single directional vector," Journal of Spacecraft and Rockets, Vol. 40, No. 2, 2003, pp.237-247. https://doi.org/10.2514/2.3938
  4. Harman, R., and Bar-Itzhack, I., "Pseudolinear and state-dependent Riccati equation filters for angular rate estimation," Journal of Guidance, Control, and Dynamics, Vol. 22, No. 5, 1999, pp.723-725. https://doi.org/10.2514/2.4442
  5. Azor, R., et. al., "Satellite angular rate estimation from vector measurements," Journal of Guidance, Control, and Dynamics, Vol. 21, No. 3, 1998, pp.450-457. https://doi.org/10.2514/2.4257
  6. Bar-Itzhack, I., "Classification of algorithms for angular velocity estimation," Journal of Guidance, Control, and Dynamics, Vol. 24, No. 2, 2001, pp.214-218. https://doi.org/10.2514/2.4731
  7. Azor, R., et. al., R., "Angular rate estimation using delayed quaternion measurements," Journal of Guidance, Control, and Dynamics, Vol. 24, No. 3, 2001, pp.436-443. https://doi.org/10.2514/2.4759
  8. Choi, K. and Park, C., "Design of fault isolator of satellite reaction wheel system using dual filter and multi-hypothesis extended Kalman filter," Journal of The Korean Society for Aeronautical and Space Sciences, Vol. 37, No. 12, 2009, pp.1225-1231. https://doi.org/10.5139/JKSAS.2009.37.12.1225
  9. Choi, K. and Park, C., "Fault isolation technique of reaction wheels using star tracker measurement," Proceedings of the 2009 KSAS Fall Conference, 2009.11, pp.962-965.
  10. Tudoroiu, et. al., "Real-time embedded fault detection estimators in a satellite's reaction wheels," Proceedings of the International Multiconference on Computer Science and Information Technology, 2010, pp.759-766.
  11. Tudoroiu, N., and Khorasani, K., "Fault detection and diagnosis for satellite's attitude control system using an interactive multiple model approach," Proceedings of the 2005 IEEE Conference on Control Applications, 2005, pp.1287-1292.
  12. Tudoroiu, N., et. al., "Interactive bank of unscented Kalman filters for fault detection and isolation in reaction wheel actuators of satellite attitude control system," Proceedings of the 32nd Annual Conference on IEEE Industrial Electronics, 2006, pp.264-269.
  13. Meskin, N., and Khorasani, K., "Fault detection and isolation in a redundant reaction wheels configuration of a satellite," Proceedings of the IEEE International Conference on Systems, Man and Cybernetics, 2007, pp.3153-3158.
  14. Jiang, T., and Khorasani, K., "A fault detection, isolation and reconstruction strategy for a satellite's attitude control subsystem with redundant reaction wheels," Proceedings of the IEEE International Conference on Systems, Man and Cybernetics, 2007, pp.3146-3152.
  15. Talebi, H., et. al., "Fault detection and isolation for uncertain nonlinear systems with application to a satellite reaction wheel actuator," Proceedings of the IEEE International Conference on Systems, Man and Cybernetics, 2007, pp.3140-3145.
  16. Tudoroiu, N., and Khorasani, K., "Satellite fault diagnosis using a bank of interacting Kalman filters," IEEE Transactions on Aerospace and Electronic Systems, Vol. 43, No. 4, 2007, pp.1334-1350. https://doi.org/10.1109/TAES.2007.4441743
  17. Jin, J. and Yong, K., "Fault detection of a spacecraft's reaction wheels by extended unknown input observer," Journal of Institute of Control, Robotics and Systems, Vol. 17, No. 11, 2011, pp.1138-1144. https://doi.org/10.5302/J.ICROS.2011.17.11.1138
  18. Bang, H., Tahk, M., and Choi, H., "Large angle attitude control of spacecraft with actuator saturation," Control Engineering Practice, Vol. 11, No. 9, 2003, pp.989-997. https://doi.org/10.1016/S0967-0661(02)00216-2
  19. Lee, H., "A study on the determination of star sensors mounting direction for remote sensing satellites," Journal of The Korean Society for Aeronautical and Space Sciences, Vol. 35, No. 8, 2007, pp.735-740. https://doi.org/10.5139/JKSAS.2007.35.8.735
  20. Wang, S., et. al., "Observing the states of systems with unmeasurable disturbances," IEEE Transaction on Automatic Control, Vol. 20, No. 5, 1975, pp.716-717.
  21. Jin, J, et. al., "Time-delayed state and unknown input observation," International Journal of Control, Vol. 66, 1997, pp. 733-745. https://doi.org/10.1080/002071797224522
  22. Yang, C., et. al., "Research on the Design of Helicopter Nonlinear Optimal Controller using SDRE Technique," Journal of The Korean Society for Aeronautical and Space Sciences, Vol. 36, No. 12, 2008, pp.1152-1162. https://doi.org/10.5139/JKSAS.2008.36.12.1152
  23. Kim, S. and Kwon, S., "SDRE Based Nonlinear Optimal Control of a Two-Wheeled Balancing Robot," Journal of Institute of Control, Robotics and Systems, Vol. 17, No. 10, 2011, pp.1037-1043. https://doi.org/10.5302/J.ICROS.2011.17.10.1037
  24. Mracek, C., et. al., "A new technique for nonlinear estimation," Proceedings of the 1996 IEEE International Conference on Control Applications, 1996, pp.338-343.
  25. Cloutier, J., "State-dependent Riccati equation techniques: an overview," Proceedings of the 1997 American Control Conference, Vol. 2, 1997, pp.932-936.

Cited by

  1. Nonlinear Observer Design for Satellite Angular Rate Estimation by SDRE Method vol.42, pp.10, 2014, https://doi.org/10.5139/JKSAS.2014.42.10.816