State estimation for miso non-linear systems in controller canonical form

• Autorzy: Schwaller B. , Ensminger D. , Dresp-Langley B. , Ragot J.

Identyfikatory

DOI

10.1515/amcs-2016-0040

• Języki publikacji: EN

Abstrakty

EN

We propose a new observer where the model, decomposed in generalized canonical form of regulation described by Fliess, is dissociated from the part assuring error correction. The obtained stable exact estimates give direct access to state variables in the form of successive derivatives. The dynamic response of the observer converges exponentially, as long as the nonlinearities are locally of Lipschitz type. In this case, we demonstrate that a quadratic Lyapunov function provides a number of inequalities which guarantee at least local stability. A synthesis of gains is proposed, independent of the observation time scale. Simulations of a Düffing system and a Lorenz strange attractor illustrate theoretical developments.

Słowa kluczowe

EN

nonlinear system; state observer; continuous time

PL

układ nieliniowy; obserwator stanu; układ ciągły

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2016
• Tom: Vol. 26, no. 3
• Strony: 569--583
• Opis fizyczny: Bibliogr. 41 poz., rys., wykr.

Twórcy

autor

Schwaller B.

• Laboratory of Inventive Design (LGECO), EA 3938 INSA Strasbourg, University of Strasbourg, 24 Boulevard de la Victoire, 67000 Strasbourg, France

autor

Ensminger D.

• Laboratory of Inventive Design (LGECO), EA 3938 INSA Strasbourg, University of Strasbourg, 24 Boulevard de la Victoire, 67000 Strasbourg, France

autor

Dresp-Langley B.

• Laboratory of Engineering, Informatics and Imaging (ICUBE), University of Strasbourg, UMR 7357 CNRS, 2 Rue Boussingault, 67000 Strasbourg, France

autor

Ragot J.

• Nancy Research Center in Automatic (CRAN), UMR 7039, University of Lorraine, CNRS, 2 Avenue de Haye, 54516 Vandoeuvre lès Nancy, France

Bibliografia

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.