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

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

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