Observer normal forms for a class of Predator-Prey models

Authors

D. Boutat, Université d'Orléans
M. Saif, University of Windsor

Document Type

Article

Publication Date

7-1-2016

Publication Title

Journal of the Franklin Institute

Volume

353

Issue

10

First Page

2178

Last Page

2198

Abstract

There is a wide body of scientific literature on the well-known Predator-Prey ecological models. However, just a few number of published articles deal with the problem of observer design for these dynamical systems. The aim of this paper is to apply the nonlinear observer normal forms to address this problem. We first introduce the notion of nonlinear observer normal forms that allows one to design robust nonlinear observers for a class of Predator-Prey systems, whose state variables are not all measurable. Then, we apply these normal forms to several different Predator-Prey systems. Numerical examples are also provided to show the efficiency of the proposed method, where we globally estimate the unmeasurable populations of a Predator-Prey system using a measured population of one species (prey or predator).

DOI

10.1016/j.jfranklin.2016.03.022

ISSN

00160032

Recommended Citation

Boutat, D. and Saif, M.. (2016). Observer normal forms for a class of Predator-Prey models. Journal of the Franklin Institute, 353 (10), 2178-2198.
https://scholar.uwindsor.ca/electricalengpub/305