<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></abstract>

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.

State estimation for a class of nonlinear systems

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

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

Centre for Automatic Control of Nancy UMR 7039, University of Lorraine, CNRS, 2 avenue de Haye, 54516 Vandoeuvre l`es Nancy, France

International Journal of Applied Mathematics and Computer Science

{"article-title":"State estimation for a class of nonlinear systems"}

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...

State estimation for a class of nonlinear systems

Publicado en línea: 28 jun 2013

Páginas: 383 - 394

DOI: https://doi.org/10.2478/amcs-2013-0029

This content is open access.