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The Control of a Nonlinear System Using Neural Networks

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1625))

Abstract

This paper presents a neural network based controller used in commanding time varying systems with uncertainties task First, a reduction procedure of the initial set of parameters using an unsupervised pattern recognition technique was applied. After this a feed-forward neural network was trained using the minimized set of data. The advantage of this method is over-passing of the difficulties implied by the direct solving of the differential models, which are necessary in a classical approach. An application of a missile-target tracking was implemented using the mentioned method, and the results are compared with those obtain in a classical approach.

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References

  1. G.C. Goodwin, P.J. Ramadge, P.E. Caines, “Discrete time stochastic adaptive control”, S.I.A.M J. Contr. Optimiz., vol.19 (1981) 829–853

    Article  MATH  MathSciNet  Google Scholar 

  2. P.E. Caines, S. Lafortune, “Adaptive control with recursive identification for stochastic linear systems”, I.E.E.E.Trans.on Automat.Contr., vol.AC29 312–321

    Google Scholar 

  3. Ian R. Petersen, “Structural stabilization of uncertain systems. Necessity of the matching condition”, S.I.A.M. J. Contr. Optimiz., vol.23 (1985) 286–296

    Article  MATH  Google Scholar 

  4. C.V. Hollot, “Bound invariant Lyapunov functions: a means for enlarging the class of stabilizable uncertain systems”, Int. J. Contr., vol.46, pp. 161–184, 1987

    Article  MATH  MathSciNet  Google Scholar 

  5. A.V. Levin, K.S. Narendra, “Control of Nonlinear Dynamical Systems using Neural Networks: Controllability and Stabilization”, I.E.E.E. Trans. Neural Networks, vol.IV, no.2 (1993) 194–195

    Google Scholar 

  6. H.J.M. Telkamp, A.A.H. Damen, “Neural Network Learning in Nonlinear Systems Identification and Controller Design”, Proceedings of the seconds ECC’93, vol.2 (1993) 798–894

    Google Scholar 

  7. N. Sadegh, “A Perceptron Network for Functional Identification and Control of Nonlinear System”, I.E.E.E. Neural Networks, vol.4, no.6 (1993) 982–988

    Article  Google Scholar 

  8. J.T. Tou, R.C. Gonzales, Pattern Recognition Principles, Addison-Wesley Publishing Company (1974)

    Google Scholar 

  9. St. Ispas, L Constantinescu, Racheta dirijata, Ed. Militara-Bucuresti (1984)

    Google Scholar 

  10. O. Grigore, O. Grigore, “Robust Nonlinear Control Using Neural Networks”, Rev. Roum Sci. Techn., 3, vol.40 (1995) 367–390.

    MATH  MathSciNet  Google Scholar 

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© 1999 Springer-Verlag Berlin Heidelberg

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Grigore, O., Grigore, O. (1999). The Control of a Nonlinear System Using Neural Networks. In: Reusch, B. (eds) Computational Intelligence. Fuzzy Days 1999. Lecture Notes in Computer Science, vol 1625. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48774-3_72

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  • DOI: https://doi.org/10.1007/3-540-48774-3_72

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66050-7

  • Online ISBN: 978-3-540-48774-6

  • eBook Packages: Springer Book Archive

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