Observer normal forms for a class of Predator–Prey models

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).