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Accommodation to defects in the discrete dynamic systems

  • Nonlinear Systems
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Abstract

Consideration was given to adaptation of the nonlinear dynamic systems to faults. The problem of accommodation by generating a control law enabling complete decoupling from the fault-generated actions was solved within this framework. The proposed approach was obtained in continuation of its earlier counterpart and for a wider class of systems enabled solution of the problem of accommodation and established a simpler—static, in particular,—solution.

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References

  1. Blanke, M., Kinnaert, M., and Lunze, J., Diagnosis and Fault Tolerant Control, London: Springer, 2003.

    Book  MATH  Google Scholar 

  2. Staroswiecki, M., Yang, H., and Jiang, B., Progressive Accommodation of Aircraft Actuator Faults, in Proc. IFAC Symp. Safeprocess’2006, Beijing, China, 2006, pp. 877–882.

    Google Scholar 

  3. Weng, Z., Patton, R., and Cui, P., Active Fault Tolerant Control of a Double Inverted Pendulum, in Proc. IFAC Symp. Safeprocess’2006, Beijing, China, 2006, pp. 1591–1596.

    Google Scholar 

  4. Staroswiecki, M., Fault Tolerant Control: The Pseudoinverse Method Revisited, in Proc. 16th IFAC Congr., Prague, Czech. Republic, 2005.

    Google Scholar 

  5. Jang, B., Staroswiecki, M., and Cocquempot, V., Active Fault Tolerant Control for a Class Nonlinear Systems, in Proc. IFAC Symp. Safeprocess’03, Washington, USA, 2003, pp. 127–132.

    Google Scholar 

  6. Zhirabok, A.N. and Shumsky, A.E., Accommodation of the Nonlinear Dynamic Systems to Faults: Method of Complete Decoupling, Izv. Ross. Akad. Nauk, Teor. Sist. Upravlen., 2009, no. 4, pp. 62–70.

    Google Scholar 

  7. Shumsky, A.E., Zhirabok, A.N., and Bobko, E.Yu., Method of Fault-tolerant Control of the Nonlinear Dynamic Systems: Logic-Dynamic Approach, Probl. Upravlen., 2010, no. 2, pp. 11–18.

    Google Scholar 

  8. Shumsky, A. and Zhirabok, A., Unified Approach to the Problem of Full Decoupling via Output Feedback, Eur. J. Control, 2010, vol. 16, no. 4, pp. 313–325.

    Article  MATH  MathSciNet  Google Scholar 

  9. Shumsky, A., Zhirabok, A., and Bin Jiang, Fault Accommodation in Nonlinear and Linear Dynamic Systems: Fault Decoupling Based Approach, Int. J. Innovative Comput., Inf. Control, 2011, vol. 7, no. 7(B), pp. 4535–4549.

    Google Scholar 

  10. Kotta, Ü., Shumsky, A., and Zhirabok, A., Output Feedback Disturbance Decoupling in Discrete-Time Nonlinear Systems, in Proc. 18th IFAC Congr., Milan, Italy, 2011, pp. 239–244.

    Google Scholar 

  11. Zhirabok, A.N. and Shumsky, A.E., Algebraicheskie metody analiza nelineinykh dinamicheskikh sistem (Algebraic Methods of Analysis of the Nonlinear Dynamic Systems), Vladivostok: Dal’nauka, 2008.

    Google Scholar 

  12. http://webmathematica.cc.ioc.ee/webmathematica/NLControl/main/index.html.

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Correspondence to A. N. Zhirabok.

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Original Russian Text © A.N. Zhirabok,: U. Kotta, A.E. Shumsky, 2014, published in Avtomatika i Telemekhanika, 2014, No. 6, pp. 14–29.

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Zhirabok, A.N., Kotta, Ü. & Shumsky, A.E. Accommodation to defects in the discrete dynamic systems. Autom Remote Control 75, 997–1009 (2014). https://doi.org/10.1134/S0005117914060010

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  • DOI: https://doi.org/10.1134/S0005117914060010

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