State estimation for a class of nonlinear systems

• Autorzy: Benoît Schwaller , Denis Ensminger , Birgitta Dresp-Langley , José Ragot
• 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 nonlinearity 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 systems; state observers; continuous time

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2013
• Tom: 23
• Numer: 2
• Strony: 383-394

Daty

wydano

2013

otrzymano

2012-04-02

poprawiono

2012-08-05

poprawiono

2012-10-23

Twórcy

autor

Benoît Schwaller

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

autor

Denis Ensminger

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

autor

Birgitta Dresp-Langley

• Laboratory of Mechanical and Civil Engineering (LMGC), University of Montpellier 2, UMR 5508 CNRS, 860 route de St. Priest, 34090 Montpellier, France

autor

José Ragot

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

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Identyfikatory

DOI

10.2478/amcs-2013-0029