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Original Articles

A formulation for fault detection in stochastic continuous-time dynamical systems

Pages 1778-1797 | Received 28 Nov 2008, Accepted 13 Dec 2008, Published online: 18 Nov 2010

References

  • Alcorta-García , E. and Frank , P. M. 1997 . Deterministic nonlinear observer-based approaches to fault diagnosis: a survey . IFAC Control Eng. Pract. , 5 : 663 – 670 .
  • Basseville , M. and Nikiforov , I. V. 1993 . Detection of Abrupt Changes. Theory and Application , Prentice Hall .
  • Berlinet , A. and Thomas-Agnan , C. 2004 . Reproducing Kernel Hilbert Spaces in Probability and Statistics , Kluwer Academic Publishers .
  • Castillo , A. 2006 . “ Fault detection and isolation via continuous time statistics ” . E.T.S. Ingenieros Industriales, Universidad Politécnica de Madrid . Ph.D. thesis
  • Castillo , Á. and Zufiria , P. 2009 . Fault detection schemes for continuous-time stochastic dynamical systems . IEEE Trans. Automat. Control , 54 : 1820 – 1836 .
  • Castillo , Á. , Zufiria , P. , Polycarpou , M. M. , Previdi , F. and Parisini , T. Fault detection and isolation scheme in continuous time nonlinear stochastic systems . Proceedings of the 5th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes SAFEPROCESS . 2003 . pp. 651 – 656 .
  • Chiang , L. H. , Russel , E. L. and Braatz , R. D. 2001 . Fault Detection and Diagnosis in Industrial Systems , Springer Verlag .
  • Clark , R. N. , Fosth , D. C. and Walton , V. M. 1975 . Detecting instrument mulfunctions in control systems . IEEE Trans. Aerospace Electron. Syst. , 1 : 465 – 473 .
  • De Persis , C. and Isidori , A. 2001 . A geometric approach to nonlinear fault detection and isolation . IEEE Trans. Automat. Control , 46 : 853 – 865 .
  • Ding , X. and Guo , L. Observer-based fault detection optimized in the frequency domain . Proceedings of the 134th IFAC World Congress, N . pp. 157 – 162 . IEEE Press
  • Driscoll , M. F. 1973 . The reproducing kernel Hilbert space structure of the sample paths of a Gaussian process . Z. Wahrscheinlichkeitstheorie verw. Geb. , 26 : 309 – 316 .
  • Driscoll , M. F. 1975 . The signal-noise problem. A solution for the case that signal and noise are gaussian and independent . J. Appl. Prob. , 12 : 183 – 187 .
  • Frank , P. M. 1990 . Fault diagnosis in dynamic systems using analytical and knowledge-based redundancy – a survey and some new results . Automatica , 26 : 459 – 474 .
  • Frank , P. M. 1996 . Analytical and qualitative model-based fault diagnosis – a survey and some new results . Eur. J. Control , 11 ( 2 ) : 26 – 28 .
  • Gertler , J. J. 1998 . Fault Detection and Diagnosis in Engineering Systems , New York : Marcel Dekker .
  • Iserman , R. 2006 . Fault-Diagnosis Systems. An Introduction to Fault Detection and Fault Tolerance , Springer Verlag .
  • Kailath , T. 1971 . A RKHS approach to detection and estimation problems – Part I: Deterministic signals in Gaussian noise . IEEE Trans. Inform. Theory , 17 ( 5 ) : 530 – 549 .
  • Karatzas , I. and Shreve , S. E. 1988 . Brownian Motion and Stochastic Calculus , Springer Verlag .
  • Kinnaert , N. Fault diagnosis based on analytical models for linear and nonlinear systems. A tutorial . Proceedings of the 5th IFAC Symposium on Fault Detection, Supervision and Safety of Technical Processes, SAFEPROCESS 2003 . Washington, DC, USA. pp. 37 – 50 .
  • Lukić , M. L. and Beder , J. H. 2001 . Stochastic processes with sample paths in reproducing kernel Hilbert spaces . Trans. Amer. Math. Soc. , 353 ( 10 ) : 3945 – 3969 .
  • Münz , U. and Zufiria , P. Parametric fault diagnosis in stochastic dynamical systems . Proceedings of the 19th CEDYA . Madrid, Spain.
  • Münz , U. and Zufiria , P. 2009 . Diagnosis of unknown parametric faults in non-linear stochastic dynamical systems . Int. J. Control , 82 : 603 – 619 .
  • Polycarpou , M. M. and Helmicki , A. J. 1995 . Automated fault detection and accomodation: a learning systems approach . IEEE Trans. Syst., Man Cybern. , 25 ( 11 ) : 1447 – 1458 .
  • Polycarpou , M. M. and Trunov , A. B. 2000 . Learning approach to nonlinear fault diagnosis: detectability analysis . IEEE Trans. Automat. Control , 45 : 806 – 812 .
  • Polycarpou , M. M. and Vemuri , A. T. 1995 . Learning methodology for failure detection and accomodation . IEEE Control Syst. , 15 : 16 – 24 .
  • Reble , M. , Münz , U. and Allgower , F. Diagnosis of parametric faults in multivariable nonlinear systems . Proceedings of the 46th IEEE Conference on Decision and Control Conference, 2007 . pp. 336 – 371 .
  • Van Trees , H. L. 1968 . Detection, Estimation and Modulation Theory, Part I , Wiley .
  • Zhang , X. , Parisini , T. and Polycarpou , M. M. 2004 . Adaptive fault-tolerant control of nonlinear uncertain systems: an information-based diagnostic approach . IEEE Trans. Automat. Control , 49 ( 8 ) : 1259 – 1273 .
  • Zhang , X. , Parisini , T. and Polycarpou , M. M. 2005 . Sensor bias fault isolation in a class of nonlinear systems . IEEE Trans. Automat. Control , 50 ( 3 ) : 370 – 376 .
  • Zhang , X. , Polycarpou , M. M. and Parisini , T. 2002 . A robust detection and isolation scheme for abrupt and incipient faults in nonlinear systems . IEEE Trans. Automat. Control , 47 : 576 – 593 .
  • Zufiria , P. J. Change detection in stochastic continuous-time system residuals . (submitted)

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