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Achieving robustness at diagnosis of nonlinear systems

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Abstract

For the systems described by nonlinear dynamic models, consideration was given to the design of robust diagnostic observers. A logic-dynamic approach was proposed to solve this problem.

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References

  1. Join, C., Ponsart, J-C., and Sauter, D., Sufficient Conditions to Fault Isolation in Nonlinear Systems: A Geometric Approach, in Proc. 15th IFAC World Congr. Automat. Control, CD ROM, Barcelona, Spain, 2002.

    Google Scholar 

  2. Shumsky, A.Ye. and Zhirabok, A.N., Nonlinear Diagnostic Filter Design: Algebraic and Geometric Points of View, Int. J. Appl. Math. Comput. Sci., 2006, vol. 16, no. 1, pp. 115–127.

    MathSciNet  Google Scholar 

  3. Zhirabok, A.N. and Shumskii, A.E., Functional Testing of Continuous Dynamic Systems Described by Equations with Polynomial Right-Hand Sides, Autom. Remote Control, 1987, no. 8, part 2, pp. 1100–1108.

  4. Shumskii, A.E., Fault Detection in Nonlinear Systems by Functional Diagnosis, Autom. Remote Control, 1991, no. 12, part 2, pp. 1759–1765.

  5. Zhirabok, A.N. and Usol’tsev, S.A., Linear Diagnosis Methods for Nonlinear Systems, Autom. Remote Control, 2000, no. 7, part 2, pp. 1201–1209.

  6. Zhirabok, A.N., Nonlinear Parity Relations: A Logic-Dynamic Approach, Autom. Remote Control, 2008, no. 6, pp. 1051–1064.

  7. Mironovskii, L.A., Funktsional’noe diagnostirovanie dinamicheskikh sistem (Functional Diagnosis of Dynamic Systems), Moscow: GRIF, 1998.

    Google Scholar 

  8. Frank, P., Fault Diagnosis in Dynamic Systems Using Analytical and Knowledge-based Redundancy. A Survey and Some New Results, Automatica, 1990, vol. 26, pp. 459–474.

    Article  MATH  Google Scholar 

  9. Lou, X., Willsky, A., and Verghese, G., Optimally Robust Redundancy Relations for Failure Detection in Uncertain Systems, Automatica, 1996, vol. 22, pp. 333–344.

    Article  Google Scholar 

  10. Patton, R., Robust Model-based Fault Diagnosis: The State of the Art, in: Proc. IFAC Sympos. SAFEPROCESS’ 94, Finland, Espoo, 1994, pp. 1–24.

  11. Misawa, E.A. and Hedrick, J.K., Nonlinear Observers-A State of the Art Survey, J. Dynam. Syst., Measurement Control, 1989, vol. 111, pp. 344–352.

    Article  MATH  Google Scholar 

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Original Russian Text © A.N. Zhirabok, D.N. Kucher, V.F. Filaretov, 2010, published in Avtomatika i Telemekhanika, 2010, No. 1, pp. 159–173.

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Zhirabok, A.N., Kucher, D.N. & Filaretov, V.F. Achieving robustness at diagnosis of nonlinear systems. Autom Remote Control 71, 142–155 (2010). https://doi.org/10.1134/S000511791001011X

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