Research Article
Control of Lotka-Volterra Three Species System via a High Gain Observer Design
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
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| Volume 77 - Issue 15 |
| Published: September 2013 |
| Authors: Souad Najoua Lagmiri, El Houssine El Mazoudi, Nouredinne Elalami |
10.5120/13556-1378
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Souad Najoua Lagmiri, El Houssine El Mazoudi, Nouredinne Elalami . Control of Lotka-Volterra Three Species System via a High Gain Observer Design. International Journal of Computer Applications. 77, 15 (September 2013), 1-6. DOI=10.5120/13556-1378
@article{ 10.5120/13556-1378,
author = { Souad Najoua Lagmiri,El Houssine El Mazoudi,Nouredinne Elalami },
title = { Control of Lotka-Volterra Three Species System via a High Gain Observer Design },
journal = { International Journal of Computer Applications },
year = { 2013 },
volume = { 77 },
number = { 15 },
pages = { 1-6 },
doi = { 10.5120/13556-1378 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2013
%A Souad Najoua Lagmiri
%A El Houssine El Mazoudi
%A Nouredinne Elalami
%T Control of Lotka-Volterra Three Species System via a High Gain Observer Design%T
%J International Journal of Computer Applications
%V 77
%N 15
%P 1-6
%R 10.5120/13556-1378
%I Foundation of Computer Science (FCS), NY, USA
Abstract
This paper presents the role of the nonlinear observer to estimate the state variable for the continous lotka-volterra system. A theoretical frame is provided in order to show the convergence characteristics of the proposed observer under some satisfied assumptions. The proposed methodology is applied to a class of Lotka-Volterra systems with three species. Numerical simulations are shown to validate and demonstrate the effectiveness of the proposed high gain observer.
References
- M. Mamat, W. S Mada Sanjaya, Z. Salleh, M. F Ahmad, "NUMERICAL SIMULATION DYNAMICAL MODEL OF THREE-SPECIES FOOD CHAIN WITH LOTKA-VOLTERRA LINEAR FUNCTIONAL RESPONSE ", Journal of Sustainability Science and Management Volume 6 Number 1, June 2011: 44-50.
- Lpez, I. , Gmez, M. , Varga, Z. , 2008. "Observer design for phenotypic observation of genetic processes". Nonlinear Analysis: Real World Applications 9, 270302.
- G. Zeng, I. Chlamtac, Y. Su, "Nonlinear observers for two classes of perturbed systems", Comput. Math. Appl. 48 (2004) 387398.
- Juan L. Mata-Machuca, Rafael Martnez-Guerra , " Asymptotic synchronization of the Colpitts oscillator", Computers and Mathematics with Applications 63 (2012) 10721078.
- J. L. Mata-Machuca, R. Martnez-Guerra, R. A. Lpez. "Monitoring in a predatorprey systems via a class of high order observer design". BioSystems 100 (2010) 6569.
- Varga, Z. , Scarelli, A. , Shamandy, A. , 2003. "State monitoring of a population systemin changing environment". Community Ecology 4, 7378.
- S. Vaidyanathan. "Nonlinear observer design for l-v system". Health Informatics - An International Journal (HIIJ) Vol. 1, No. 1, August 2012.
- H. El Mazoudi,M. Mrabti,N. Elalami, "Observer design for a fish population model". Numro spcial CARI'06 Volume 8 - 2008.
- V. Sundarapandian, "Nonlinear observers design for a general class of nonlinear systems with real parametric uncertainty", Comput. Math. Appl. 49 (2005) 11951211.
- Dr. V. Sundarapandian, "Exponential Observers for Lotka- Volterra Systems". International Journal on Computer Science and Engineering (IJCSE). Vol. 3 No. 3 Mar 2011.
- S. S. Lagmiri, H. El Mazoudi,N. Elalami," High gain observer for Lotka Volterra system", International conference "Days of Numerical Analysis and Optimization: JANO10-October 2013", Essaouira, Morocco.
- Lpez, I. , Gmez, M. , Varga, Z. , 2005. "Equilibrium, observability and controllability in selection-mutation models". BioSystems 81, 6575. 6
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