Observer-based robust fault detection of multirate linear system using a lift reformulation

Abstract This paper presents observer-based robust fault detection for multirate sampled-data linear system. It is assumed that all plant inputs are updated with a unique sampling period and that the plant outputs are sampled uniformly at integer multiples of the input sampling period. A state observer is constructed, as in the single-rate case, and a residual generator is derived. The paper shows that the residual signals can be decoupled from noise and disturbances. An illustrative numerical example is provided.

[1]  R Scattolini,et al.  Decentralized control of multirate systems subject to arbitrary exogenous signals , 1996 .

[2]  Patrizio Colaneri,et al.  Stabilization of multirate sampled-data linear systems , 1990, Autom..

[3]  Riccardo Scattolini,et al.  Stabilization, Regulation, and Optimization of Multirate Sampled-Data Systems , 1995 .

[4]  J. O'Reilly,et al.  On eigenstructure assignment in linear multivariable systems , 1982 .

[5]  M. S. Fadali,et al.  Observer-based robust fault detection for a class of multirate sampled-data linear systems , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[6]  C. Sidney Burrus,et al.  A unified analysis of multirate and periodically time-varying digital filters , 1975 .

[7]  M. Araki,et al.  Multivariable multirate sampled-data systems: State-space description, transfer characteristics, and Nyquist criterion , 1986 .

[8]  David M. Auslander,et al.  Control and dynamic systems , 1970 .

[9]  J.J. Gertler,et al.  Survey of model-based failure detection and isolation in complex plants , 1988, IEEE Control Systems Magazine.

[10]  R. Patton,et al.  Robust fault detection using eigenstructure assignment: a tutorial consideration and some new results , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[11]  M. S. Fadali,et al.  Fault detection for systems with multirate sampling , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

[12]  Tomomichi Hagiwara,et al.  Design of a stable state feedback controller based on the multirate sampling of the plant output , 1988 .

[13]  G. Kranc,et al.  Input-output analysis of multirate feedback systems , 1957 .