The Transactions of The Korean Institute of Electrical Engineers (전기학회논문지)

The Korean Institute of Electrical Engineers (대한전기학회)
권호 표지

A Fault Detection Isolation and Compensation Scheme using Finite-time Fault Detection Observers

유한시간 수렴 고장검출관측자를 이용한 고장검출식별 및 보상기법

  • 이기상 (단국대학교 전자전기공학부)
  • Published : 2009.09.01
Download PDF
⟨ Previous Next ⟩

Abstract

A fault detection observer with finite time convergence characteristics(FT_FDO) is proposed and applied to a fault detection isolation system for a dynamic control system. The FT_FDO is a kind of dual state-observer scheme that provides with the state estimates insensitive to a specified fault and the corresponding fault estimate. The state estimates are processed to get the residual that will be logically compared with other residuals to detect and isolate the fault of interest, and the fault estimate may be used for fault compensation. The FDIS employing the FT_FDOs can be considered to be a multiple observer schemes(MOS) in which FT_FDOs are parallelly driven to generate a set of residuals to be compared each other. Due to the finite time convergence characteristics of the FT_FDO, the predetermined detection delay can be considered in the design stage of FDIS so that any fault of interest can be detected and identified in that time. It evidently resolves a well known difficulty of threshold selection owing to the transient responses of the fault detection observers(FDO) employed in FDIS. An FDIS is constructed for instruments(2-sensor, 1-actuator) in an inverted pendulum control system, and simulations are performed to show the performance of the FDIS and fault tolerant control system.

Keywords

References

  1. R. Patton, P. M. Frank and R. N. Clark, Fault diagnosis m dynamic systems, Theory and Application, Prentice-Hall, 1989
  2. A.D. Pouliezos and G.S. Stavrakakis, Real time fault monitoring of industrial processes, Kluwer academic publishers, 1994
  3. P. M. Frank, 'Fault diagnosis in dynamic systems using analytical and knowledge based redundancy: A survey and some new results,' Automatica, Vol.26, pp.459-474, 1990 https://doi.org/10.1016/0005-1098(90)90018-D
  4. V. Venkatasubramanian et. al., 'A review of process fault detection and diagnosis, Part 1: Quantitative model based methods,' Computers and chemical engineering, Vol.27, pp.293-311, 2003 https://doi.org/10.1016/S0098-1354(02)00160-6
  5. E. L. Russell, L. H. Chiang and R. D. Braatz, Data-driven techniques for fault detection and diagnosis in chemical processes, Springer, 2000
  6. Jinchao Guo, Xinhan Huang, Yu Cui, 'Design and analysis of robust fault detection filter using LMI tools,' Computers & Mathematics with Applications, Volume 57, Issues 11-12, Pages 1743-1747, 2009 https://doi.org/10.1016/j.camwa.2008.10.032
  7. F. Tao and Q Ahao, ' Fault detection observer design with unknown inputs,' Proc. of the 2005 IEEE conf. on control applications, Toronto, Canada, August 28-31, 2005, pp.1277-1280 https://doi.org/10.1109/CCA.2005.1507307
  8. D. Theilliol, H. Noura, and J.-C. Pons art, ' Fault diagnosis and accommodation of a three-tank system based on analytical redundancy,' ISA Transactions Vol.41, pp.365 - 382, 2002 https://doi.org/10.1016/S0019-0578(07)60094-9
  9. A. Garcia and P. M. Frank, ' Analysis of a class of dedicated observer schemes to sensor fault isolation,' Proc. of UKACC Int. conf. on Control, Vol.1, sept., 1996, pp.60-65
  10. G. Verdier, N. Hilgert and J-P Vila, 'Adaptive threshold computation for CUSUM -type procedures in change detection and isolation problems,' Computational statistics and data analysis, vol.52, pp.4146-4174, 2008
  11. Robert Engel and Gerhard Kreisselmeier, 'A continuous-time observer which converges in finite time,' IEEE Trans. Automat. contr., Vol.47, No.7, pp.1202-1204, 2002 https://doi.org/10.1109/TAC.2002.800673
  12. Y. Zhang and J. Jiang, 'Bibliographical review on reconfigurable fault-tolerant control systems,' Annual reviews in control, Vol.32, pp.229-252, 2008 https://doi.org/10.1016/j.arcontrol.2008.03.008
  13. 이기상, '퍼지모델을 이용한 비선형시스템의 센서고장 검출식별,' 전기학회논문지, 제56권 2호, pp.407-414, 2007
  14. J. Apkarian, A comprehensive and modular laboratory for control systems design and implementation, Quanser Consulting Inc., 1997