The Control of Non-Linear Chaotic System Including Noise Using Genetic Based Algorithm

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International Journal of Engineering and Applied Sciences
Volume:8 Issue:3
The Control of Non-Linear Chaotic System Including Noise Using Genetic Based Algorithm

The Control of Non-Linear Chaotic System Including Noise Using Genetic Based Algorithm

Authors : Ercan KÖSE, Aydın MÜHÜRCÜ

Pages : 49-57

Doi:10.24107/ijeas.255036

View : 104 | Download : 8

Publication Date : 2016-10-10

Article Type : Research Paper

Abstract :In this study, the Lorenz chaotic system including the nonlinear equations has been analyzed against the noise changes. The discrete-time state feedback control method and discrete-time PI controller method have been used for these noisy system controls. Optimization of the controller parameters was performed using a genetic algorithm method. The study was implemented in MATLAB-Simulink simulation program. In terms of noise, the Gaussian white noise was used as a system and measurement noise. Noise has emerged as a significant impact on the Lorenz chaotic system. Changes associated with this condition are given in detail on the graphics. The discrete-time PI controller method was shown to better performance when compared to discrete-time state feedback control method for the system control. Furthermore, the error performance change was given in the literature as an important parameter.
Keywords : Lorenz chaotic system, Gaussian white noise, Discrete time PID controller, Discrete time state feedback control

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