Title: A high-gain adaptive observer for discrete-time nonlinear systems

Authors: Afef Marai Ghanmi; Sofien Hajji; Samira Kamoun

Addresses: National Higher Engineering School of Tunis (ENSIT), Laboratory of Sciences and Technique of Automatic Control and Computer Engineering (Lab-STA) Sfax, Tunisia ' National Higher Engineering School of Tunis (ENSIT), Laboratory of Sciences and Technique of Automatic Control and Computer Engineering (Lab-STA) Sfax, Tunisia ' National Higher Engineering School of Tunis (ENSIT), Laboratory of Sciences and Technique of Automatic Control and Computer Engineering (Lab-STA) Sfax, Tunisia

Abstract: This paper focuses on the development of adaptive observer for a class of nonlinear discrete-time systems. A high-gain observer is used to estimate the unknown parameters and state variables. The problem formulation is achieved based on the Euler approximation method. The proposed algorithm is developed to guarantees the convergence of parameters and state variables to their true values. Based on a new formulation of the high-gain observer, sufficient conditions and assumptions to ensure asymptotic convergence are established. An example involving a typical bioreactor illustrates some results of the proposed observer.

Keywords: a typical bioreactor; discrete-time nonlinear systems; Euler discretisation; high-gain adaptive observer.

DOI: 10.1504/IJSISE.2017.10008789

International Journal of Signal and Imaging Systems Engineering, 2017 Vol.10 No.6, pp.279 - 285

Received: 23 Oct 2016
Accepted: 26 Jun 2017
Published online: 13 Nov 2017 *

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