State estimation for a class of nonlinear systems

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

Abstrakty

EN

We propose a new type of Proportional Integral (PI) state observer for a class of nonlinear systems in continuous time which ensures an asymptotic stable convergence of the state estimates. Approximations of non-linearity are not necessary to obtain such results, but the functions must be, at least locally, of the Lipschitz type. The obtained state variables are exact and robust against noise. Naslin’s damping criterion permits synthesizing gains in an algebraically simple and efficient way. Both the speed and damping of the observer response are controlled in this way. Model simulations based on a Sprott strange attractor are discussed as an example.

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: 2013
• Tom: Vol. 23, no. 2
• Strony: 383--394
• Opis fizyczny: Bibliogr. 43 poz., rys., tab., 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 Mechanical and Civil Engineering (LMGC), University of Montpellier 2, UMR 5508 CNRS, 860 route de St. Priest, 34090 Montpellier, France

autor

Ragot J.

• Centre for Automatic Control of Nancy, UMR 7039, University of Lorraine, CNRS, 2 avenue de Haye, 54516 Vandoeuvre lès Nancy, France

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