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

Year 2016, , 49 - 57, 10.10.2016

Ercan Köse , Aydın Mühürcü

https://doi.org/10.24107/ijeas.255036

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

References

• Lorenz, E. N., Deterministic non periodic flow. J. Atmos. Sci., 20, 130–141, 1963.