New results in robust actuator fault reconstruction for linear uncertain systems using sliding mode observers

This paper presents a robust actuator fault reconstruction scheme for linear uncertain systems using sliding mode observers. In existing work, fault reconstruction via sliding mode observers is limited to either linear certain systems subject to unknown inputs, relative degree one systems or a specific class of relative degree two systems. This paper presents a new method that is applicable to a wider class of systems with relative degree higher than one, and can also be used for systems with more unknown inputs than outputs. The method uses two sliding mode observers in cascade. Signals from the first observer are processed and used to drive the second observer. Overall, this results in actuator fault reconstruction being feasible for a wider class of systems than using existing methods. A simulation example verifies the claims made in this paper. Copyright © 2007 John Wiley & Sons, Ltd.

[1]  Paul M. Frank,et al.  Analytical and Qualitative Model-based Fault Diagnosis - A Survey and Some New Results , 1996, Eur. J. Control.

[2]  Alan J. Laub,et al.  The LMI control toolbox , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[3]  J. Doyle,et al.  Robust and optimal control , 1995, Proceedings of 35th IEEE Conference on Decision and Control.

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

[5]  Jean-Pierre Barbot,et al.  An observability form for linear systems with unknown inputs , 2006 .

[6]  Chee Pin Tan,et al.  An LMI approach for designing sliding mode observers , 2001 .

[7]  S. Spurgeon,et al.  On the development of discontinuous observers , 1994 .

[8]  Jie Chen,et al.  Design of unknown input observers and robust fault detection filters , 1996 .

[9]  Chee Pin Tan,et al.  Sliding mode observers for fault detection and isolation , 2002 .

[10]  Leonid M. Fridman,et al.  Second-order sliding-mode observer for mechanical systems , 2005, IEEE Transactions on Automatic Control.

[11]  Christopher Edwards,et al.  A sliding mode observer based FDI scheme for the ship benchmark , 1999, 1999 European Control Conference (ECC).

[12]  Zhiguo Yuan,et al.  Improving the observer-based FDI design for efficient fault isolation , 1997 .

[13]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[14]  Christopher Edwards,et al.  Sliding mode observers for robust detection and reconstruction of actuator and sensor faults , 2003 .

[15]  J.-F. Magni,et al.  On residual generation by observer and parity space approaches , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[16]  Jie Chen,et al.  Robust detection of faulty actuators via unknown input observers , 1991 .

[17]  Jie Chen,et al.  Robust Model-Based Fault Diagnosis for Dynamic Systems , 1998, The International Series on Asian Studies in Computer and Information Science.

[18]  M. Darouach,et al.  Full-order observers for linear systems with unknown inputs , 1994, IEEE Trans. Autom. Control..

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

[20]  Jie Chen,et al.  Optimal unknown input distribution matrix selection in robust fault diagnosis , 1993, Autom..

[21]  Vadim I. Utkin,et al.  Sliding Modes in Control and Optimization , 1992, Communications and Control Engineering Series.

[22]  Pau-Lo Hsu,et al.  Robust Design of Fault Isolation Observers , 1998, Autom..

[23]  Christopher Edwards,et al.  A comparison of sliding mode and unknown input observers for fault reconstruction , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[24]  Jie Chen,et al.  Robustness in quantitative model-based fault diagnosis , 1992 .

[25]  Bonnie S. Heck-Ferri,et al.  Numerical methods to design the reaching phase of output feedback variable structure control , 1995, Autom..