Double Faults Isolation Based on the Reduced-Order Parity Vectors in Redundant Sensor Configuration

  • Yang, Cheol-Kwan (School of Electrical and Electronics Engineering, Chung-Ang University) ;
  • Shim, Duk-Sun (School of Electrical and Electronics Engineering, Chung-Ang University)
  • Published : 2007.04.30

Abstract

A fault detection and isolation (FDI) problem is considered for inertial sensors, such as gyroscopes and accelerometers and a new FDI method for double faults is proposed using reduced-order parity vector. The reduced-order parity vector (RPV) algorithm enables us to isolate double faults with 7 sensors. Averaged parity vector is used to reduce false alarm and wrong isolation, and to improve correct isolation. The RPV algorithm is analyzed by Monte-Carlo simulation and the performance is given through fault detection probability, correct isolation probability, and wrong isolation probability.

Keywords

References

  1. J. P. Gilmore and R. A. McKern, 'A redundant strapdown inertial reference unite (SIRU),' Journal of Spacecraft and Rockets, vol. 9, no. 1, pp. 39-47, July 1972 https://doi.org/10.2514/3.61628
  2. K. C. Daly, E. Gai, and J. V. Harrison, 'Generalized likelihood test for FDI in redundant sensor configurations,' Journal of Guidance and Control, vol. 2, no. 1, pp. 9-17, Jan.-Feb. 1979
  3. H. Jin and H. Y. Zhang, 'Optimal parity vector sensitive to designated sensor fault,' IEEE Trans. on Aerospace and Electronic Systems, vol. 35, no. 35, pp. 1122-1128, October 1999 https://doi.org/10.1109/7.805431
  4. J. Y. Kim, C. K. Yang, and D. S. Shim, 'Sequential fault detection and isolation for redundant inertial sensor systems with uncertain factors,' Proc. of International Conference on Control, Automation, and Systems, Gyeongju TEMF Hotel, Gyeongju, Korea, pp. 2594-2599, October 2003
  5. D. S. Shim and C. K. Yang, 'Geometric FDI based on SVD for redundant inertial sensor systems,' Proc. of Asian Control Conference, Melbourne, Australia, pp. 1093-1099, 2004
  6. E. Y. Chow and A. S. Willsky, 'Analytical redundancy and the design of robust failure detection systems,' IEEE Trans. on Automatic Control, vol. AC-29, no. 7, pp. 603-614, July 1984
  7. R. J. Patton, 'Fault detection and diagnosis in aerospace systems using analytical redundancy,' IEE Computing & Control Engineering Journal, vol.2, no.3, pp. 127-136, 1991 https://doi.org/10.1049/cce:19910031
  8. P. M. Frank, 'Fault diagnosis in dynamic systems using analytical and knowledge-based redundancy-A survey and some new results,' Automatica, vol. 26, no. 3, pp. 459-474, 1990 https://doi.org/10.1016/0005-1098(90)90018-D
  9. A. Ray, M. Desai, and J. Deyst, 'Fault detection and isolation in a nuclear reactor,' Journal of Energy, vol. 7, no. 1, pp. 79-85, 1983 https://doi.org/10.2514/3.62638
  10. C. S. Yoo, I. K. Ahn, and S. J. Lee, 'Two-failure GPS RAIM by parity space approach,' Journal of the Korean Society for Aeronautical and Space Sciences (written in Korean), vol. 31, no. 6, pp. 52-60, 2003 https://doi.org/10.5139/JKSAS.2003.31.6.052
  11. K. H. Kim, C. G. Park, and J. G. Lee, 'FDI considering two faults of inertial sensors,' Journal of Control, Automation, and Systems Engineering (written in Korean), vol. 10, no. 1, pp. 1-9, January 2004 https://doi.org/10.5302/J.ICROS.2004.10.1.001