Fault detection for time-delay systems: a parity space approach

It is shown how a residual generator can be synthesized for time-delay systems using parity relations. The goal of this study is to investigate the application of a modern symbolic computation like MAPLE to the development and the design of fault detection systems for time-delay systems. In the literature, the problem brought up by time-delay systems has been solved in two different ways at least: first; retarded functional differential equations based upon the Razumikhin theorem; the second method is based upon the use of the delay operator V and the properties of the ring R[/spl nabla/]. Taking into account these properties, a FDI scheme based on the parity space is proposed. Finally, the applicability of the presented scheme is illustrated by a numerical example.

[1]  Frédéric Kratz,et al.  Robust generation of analytical redundancy equations and applications to diagnosis , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[2]  P. Frank,et al.  Fault detection via factorization approach , 1990 .

[3]  Mehrdad Saif,et al.  Observer design and fault diagnosis for retarded dynamical systems , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[4]  O. Sename,et al.  Coefficient assignement for time-delays systems , 1997, 1997 European Control Conference (ECC).

[5]  Michèle Basseville,et al.  Detecting changes in signals and systems - A survey , 1988, Autom..

[6]  José Ragot,et al.  Failure detection, identification and accommodation based on a new accommodation filter , 1993 .

[7]  李基炯,et al.  § 14 , 1982, Fichte.

[8]  M. Aldeen,et al.  A memoryless reduced-order state observer for discrete-time systems with multiple delays , 1997, 1997 European Control Conference (ECC).

[9]  Paul M. Frank,et al.  Fault diagnosis in dynamic systems using analytical and knowledge-based redundancy: A survey and some new results , 1990, Autom..

[10]  P. Frank.  Enhancement of Robustness in Observer-Based Fault Detection , 1991 .

[11]  Eduardo Sontag.  Linear Systems over Commutative Rings. A Survey , 1976 .

[12]  J. Hale.  Theory of Functional Differential Equations , 1977 .

[13]  A. Willsky,et al.  Analytical redundancy and the design of robust failure detection systems , 1984 .

[14]  P. Frank.  Enhancement of robustness in observer-based fault detection† , 1994 .

[15]  Frédéric Kratz,et al.  A finite memory observer approach to the design of fault detection algorithms , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[16]  Mehrdad Saif,et al.  A new approach to robust fault detection and identification , 1993 .

[17]  Paul M. Frank,et al.  Fault Diagnosis in Dynamic Systems , 1993, Robotics, Mechatronics and Manufacturing Systems.

[18]  Alan S. Willsky,et al.  A survey of design methods for failure detection in dynamic systems , 1976, Autom..