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Bourges, France

Abdelhedi A.,Gabes University | Wided S.,Gabes University | Lassaad S.,Gabes University | Boutat D.,Loire Valley University
2015 World Congress on Information Technology and Computer Applications, WCITCA 2015 | Year: 2015

In this paper, we design exponentially convergent observer for the systems with distributed parameters. A Volterra integral transformation is used to change the coordinates of the error dynamics into exponentially stable target systems using the backstepping procedure. The gains of the observer, which are attained by solving a Partial Differential Equations (PDE) system with output injection, will guarantee the exponential convergence of the observer. What is more, the design method is applied to a SIR epidemic system to consider the sensitive population. © 2015 IEEE. Source


Zheng G.,French Institute for Research in Computer Science and Automation | Zheng G.,Ecole Centrale Lille | Boutat D.,Loire Valley University
Chinese Control Conference, CCC | Year: 2014

In this paper, we investigate the problem of adaptive observer for simultaneous estimation of state and parameter for a class of nonlinear systems which is of the output depending normal form. Necessary condition for the existence of such an observer is derived. An academic example is given in order to illustrate the effectiveness of the proposed results. © 2014 TCCT, CAA. Source


Boutat D.,Loire Valley University
Proceedings of the IEEE Conference on Decision and Control | Year: 2013

This paper provides a class of single-output nonlinear systems that are transformable by means of a suitable extension and a change of coordinates into output-depending extended nonlinear observer normal forms. In addition, this class of dynamical systems provides us with examples of systems that can be transformed using several auxiliary dynamics. © 2013 IEEE. Source


Boutat D.,Loire Valley University | Saif M.,University of Windsor
IFAC Proceedings Volumes (IFAC-PapersOnline) | Year: 2013

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. Source


Zheng G.,French Institute for Research in Computer Science and Automation | Zheng G.,French National Center for Scientific Research | Barbot J.-P.,French Institute for Research in Computer Science and Automation | Barbot J.-P.,ENSEA Cergy | Boutat D.,Loire Valley University
Automatica | Year: 2013

Using the theory of non-commutative rings, this paper studies the delay identification of nonlinear time-delay systems with unknown inputs. A sufficient condition is given in order to deduce an output delay equation from the studied system. Then necessary and sufficient conditions are proposed to judge whether the deduced output delay equation can be used to identify delay involved in this equation. Two different cases are discussed for the dependent and independent outputs, respectively. The presented result is applied to identify delay in a biological system. © 2013 Elsevier Ltd. All rights reserved. Source

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