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Asymptotically exact inversion of uncertain dynamical systems

  • Control and Optimization in Nonlinear Systems
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Abstract

An efficient robust inversion algorithm is proposed, which generates asymptotic estimates of the input signal from noisy output observations with uncertainty in the system parameters.

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References

  1. A. V. Il'in, S. K. Korovin, and V. V. Fomichev, “Inversion algorithms for linear controlled systems,”Differents. Uravn.,34, No. 6, 744–750 (1997).

    MathSciNet  Google Scholar 

  2. A. V. Il'in, S. K. Korovin, and V. V. Fomichev, “Inversion algorithms for linear scalar dynamical systems: the controlled model method,Differents. Urawn.,33, No. 3, 329–339 (1997).

    MathSciNet  Google Scholar 

  3. S. V. Emel'yanov and S. K. Korovin,New Feedbacks [in Russian], Nauka, Moscow (1997).

    Google Scholar 

  4. Yu. N. Andreev,Control of Finite-Dimensional Linear Systems [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  5. A. A. Voronov,Stability, Controllability, Observability [in Russian], Nauka, Moscow (1979).

    Google Scholar 

  6. L. M. Silverman,IEEE Trans. Autom. Contr.,AC 14, No. 3, 270–276 (1969).

    Google Scholar 

  7. K. M. Sain and J. J. Massey, “Invertibility of linear time-invariant dynamical systems,”IEEE Trans. Autom. Contr.,AC 14, No. 2, 141–149 (1969).

    MathSciNet  Google Scholar 

  8. A. S. Whillsky, “On the invertibility of linear systems,”IEEE Trans. Autom. Contr.,AC 19, 272–274 (1974).

    Google Scholar 

  9. R. M. Hirschhorn, “Invertability of nonlinear control systems,”SIAM J. Contr. Optim.,17, No. 2, 289–297.

  10. W. Rosendek and H. Nijmeijer, “On local right-invertibility of nonlinear control systems”.Control Theory and Advanced Technology,4, No. 3, 325–348, Mita Press (1988).

    MathSciNet  Google Scholar 

  11. L. R. Hunt and G. Meyer, “Stable inversion for nonlinear systems,”Automatica,133, No. 8, 1549–1554 (1997).

    MathSciNet  Google Scholar 

  12. Yu. S. Osipov and A. V. Kryazhimskii, “Control modeling in dynamical systems,”Izv. Akad. Nauk SSSR, Tekh. Kibern.,269, No. 3, 552–556 (1983).

    MathSciNet  Google Scholar 

  13. Yu. S. Osipov and A. V. Kryazhimskii, “On dynamical solution of operator equations,”Izv. Akad. Nauk SSSR, Tekh. Kibern.,269, No. 2, 51–60 (1983).

    MathSciNet  Google Scholar 

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Authors
  1. A. V. Il'in
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  2. A. P. Nosov
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  3. V. V. Fomichev
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Additional information

Translated from Prikladnaya Matematika i Informatika, No. 3, pp. 20–32, 1999.

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Il'in, A.V., Nosov, A.P. & Fomichev, V.V. Asymptotically exact inversion of uncertain dynamical systems. Comput Math Model 11, 335–345 (2000). https://doi.org/10.1007/BF02359298

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