A geometrical characterization of a class of 00-flat affine dynamical systems

International audienceThis paper gives a description of a class of $0$-flat dynamical systems. This class is characterized by the involutivity of a distribution associated naturally to multi-output affine dynamical systems and the Lie bracket of some control vector fields fulfilling some conditions. We will also show that these conditions are a generalization of the well-known result on $0$-flatness of codimension $1$ affine systems

Observer normal forms for a class of Predator-Prey models

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)

Nonlinear observer normal forms for some predator-prey models

This paper considers the nonlinear observer normal forms and their application in an ecological Predator-Prey system. These forms allow for the design of robust observers for Predator-Prey models where full measurement is not available. Thus, from a measured population of one specie (prey or predator), one can estimate the population that is not directly measured. © IFAC

Sliding mode observers and observability singularity in chaotic synchronization

We present a new secured data transmission based on a chaotic synchronization and observability singularity. For this, we adopt an approach based on an inclusion of the message in the system structure and we use a sliding mode observer for system with unknown input in order to recover the information. We end the paper with an example of chaotic system with an observability bifurcation. Moreover, this example highlights some benefits of the so-called step-by-step sliding mode observer

Sliding mode observers and observability singularity in chaotic synchronization

<p>We present a new secured data transmission based on a chaotic synchronization and observability singularity. For this, we adopt an approach based on an inclusion of the message in the system structure and we use a sliding mode observer for system with unknown input in order to recover the information. We end the paper with an example of chaotic system with an observability bifurcation. Moreover, this example highlights some benefits of the so-called step-by-step sliding mode observer.</p