A finite frequency domain approach to fault detection observer design for linear continuous‐time systems

This paper deals with the fault detection observer design problem in finite frequency domain for linear time-invariant continuous-time systems with bounded disturbances. Two finite frequency performance indexes are introduced to measure the fault sensitivity and the disturbance robustness. Faults are considered in the low frequency domain while disturbances are considered in certain finite frequency domain. With the aid of the Generalized Kalman-Yakubovich-Popov lemma, the design methods are presented in terms of solutions to a set of linear matrix inequalities. An example of the VTOL aircraft is studied to illustrate the effectiveness of the proposed method.

[1]  Torsten Jeinsch,et al.  A unified approach to the optimization of fault detection systems , 2000 .

[2]  Jianliang Wang,et al.  An optimization approach for worst-case fault detection observer design , 2004, Proceedings of the 2004 American Control Conference.

[3]  Henrik Niemann,et al.  Norm based design of fault detectors , 1999 .

[4]  Jian Liu,et al.  An LMI approach to minimum sensitivity analysis with application to fault detection , 2005, Autom..

[5]  S. Hara,et al.  Robust control synthesis with general frequency domain specifications: static gain feedback case , 2004, Proceedings of the 2004 American Control Conference.

[6]  James Lam,et al.  Iterative LMI approach for robust fault detection observer design , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[7]  P. Frank,et al.  Survey of robust residual generation and evaluation methods in observer-based fault detection systems , 1997 .

[8]  Tetsuya Iwasaki,et al.  All controllers for the general H∞ control problem: LMI existence conditions and state space formulas , 1994, Autom..

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

[10]  Imad M. Jaimoukha,et al.  A matrix factorization solution to the I fault detection problem , 2006, Autom..

[11]  Jianliang Wang,et al.  Reliable robust flight tracking control: an LMI approach , 2002, IEEE Trans. Control. Syst. Technol..

[12]  Shinji Hara,et al.  Generalized KYP lemma: unified frequency domain inequalities with design applications , 2005, IEEE Transactions on Automatic Control.

[13]  Guo-Ping Liu,et al.  Optimal residual design for fault diagnosis using multi-objective optimization and genetic algorithms , 1996, Int. J. Syst. Sci..

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

[15]  R. J. Patton,et al.  An LMI approach to H - /H∞ fault detection observers , 2002 .

[16]  Janos Gertler,et al.  Fault detection and diagnosis in engineering systems , 1998 .

[17]  Rolf Isermann,et al.  Supervision, fault-detection and fault-diagnosis methods — An introduction , 1997 .

[18]  Dominique Sauter,et al.  Robust Residual Generation Via Lmi , 1999 .

[19]  Paul M. Frank,et al.  A frequency domain approach to fault detection of uncertain dynamic systems , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[20]  D. Henry,et al.  Design and analysis of robust residual generators for systems under feedback control , 2005, Autom..