[KSCI] Korea Science Citation Index Service

A Realization of Reduced-Order Detection Filters

Kim, Yong-Min (NanoTronix Co., Ltd.)
Park, Jae-Hong (School of Electrical Engineering, Seoul National University)

Publication Information

International Journal of Control, Automation, and Systems / v.6, no.1, 2008 , pp. 142-148 More about this Journal

Abstract

In this paper, we deal with the problem of reducing the order of the detection filter for the linear time-invariant system. Even if the detection filter is generally designed in the form of full order linear observer, we show that it is possible to reduce its order when the response of fault signals is limited to a subspace of the estimation state space. We propose a method to extract the subspace using the observer canonical form considering the dynamics related to the remaining subspace acts as a disturbance. We designed a reduced order detection filter to reject the disturbance as well as to guarantee fault detection and isolation. A simulation result for a 5th order system is presented as an illustrative example of the proposed design method.

Keywords

Fault detection filter; invariant zero; model reduction; observer canonical form;

Citations & Related Records

Times Cited By Web Of Science : 0 (Related Records In Web of Science)
Times Cited By SCOPUS : 0

Reference

1	R. V. Beard, Failure Accommodation in Linear Systems through Self-reorganization, Ph.D. Dissertation, Dep. Aeronautics and Astronautics, Mass. Inst. Technology, Cambridge, MA, 1971
2	J. E. White and J. L. Speyer, "Detection filter design: Spectral theory and algorithms," IEEE Trans. on Automatic Control, vol. AC-32, no. 7, pp. 593-603, July 1987
3	J. Chen, R. J. Patton, and H.-Y. Zhang, "Design of unknown input observers and robust fault detection filters," International Journal of Control, vol. 63, no. 1, pp. 85-105, 1996 DOI ScienceOn
4	J. Y. Keller, "Fault isolation filter design for linear stochastic systems," Automatica, vol. 35, pp. 1701-1706, 1999 DOI ScienceOn
5	Y. Kim and J. Park, "On the noise response of detection filters: A special consideration on the relation between detection space and completion space," IEE Proceedings - Control Theory and Applications, vol. 150, no. 4, pp. 443-447, 2003 DOI ScienceOn
6	Y. Kim, A Study on the Analysis of Eigenstructure and the Enhancement of Robustness in Fault Detection Filters Using Invariant Zeros, Ph.D. Dissertation, School of Electrical Engineering, Seoul National University, Seoul, Korea, 2004
7	T. Kailath, Linear Systems, Prentice-Hall, 1980
8	M. Massoumnia, "A geometric approach to the synthesis of failure detection filters," IEEE Trans. on Automatic Control, vol. AC-31, no. 9, pp. 839-846, 1986
9	C.-T. Chen, Linear System Theory and Design, Holt-Saunders Inter. Ed., New York, 1984
10	Y. Kim and J. Park, "On the approximation of fault directions for mutual detectability: An invariant zero approach," IEEE Trans. on Automatic Control, vol. 50, no. 6, pp. 851-855, 2005 DOI ScienceOn
11	W. H. Chung and J. L. Speyer, "A game theoretic fault detection filter," IEEE Trans. on Automatic Control, vol. 43, no. 2, pp. 143-161, February 1998 DOI ScienceOn
12	R. K. Douglas and J. L. Speyer, "Robust fault detection filter design," Proc. of the American Control Conference, vol. 1, pp. 91-96, June 1995
13	J. Park and G. Rizzoni, "An eigenstructure assignment algorithm for the design of fault detection filters," IEEE Trans. on Automatic Control, vol. AC-39, no. 7, pp. 1521-1524, July 1994