The Design of Adaptive Control System with Reference Model for Population Dynamics

Authors

J. J. Yermekbayeva, Department of System analysis and control, L. N. Gumilyov Eurasian National University, Astana, KazakhstanFollow
A. N. Omarov, Department of System analysis and control, L. N. Gumilyov Eurasian National University, Astana, KazakhstanFollow
L. V. Nedorezov, Research Center for Interdisciplinary Environmental Cooperation RAS, Saint-Petersburg, RussiaFollow

Author Country (or Countries)

Kazakhstan

Abstract

In the given work the adaptive control system is applied to a predator-prey system dynamics. It is assumed that considering system can adapt to changes of internal and external conditions. Researching control systems keep working capacity at unforeseen changes of properties of model of population, the D-factor (control laws) or environment by change of algorithm of the functioning, and the program of behavior or search of optimum conditions. By means of feedback mechanism model of the predator-prey system dynamics shown and rebuilt with conditions of the D - factor. Moreover, the problem for construction of an adaptive control system with reference model consists in a finding of such parameters with estimations of control at which the complex behavior can be reduced to the predicted. The method of locally-parametrical optimization (gradient method) of adaptive control with reference model is also discussed. This should develop the situation throughout the testing and improving new control methods and phases based on population dynamics model.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/120105

Recommended Citation

J. Yermekbayeva, J.; N. Omarov, A.; and V. Nedorezov, L. (2018) "The Design of Adaptive Control System with Reference Model for Population Dynamics," Applied Mathematics & Information Sciences: Vol. 12: Iss. 1, Article 5.
DOI: http://dx.doi.org/10.18576/amis/120105
Available at: https://digitalcommons.aaru.edu.jo/amis/vol12/iss1/5