The Control of The Lorenz Chaotic System Blended With The Noise

Year 2016, Volume: 8 Issue: 3, 58 - 66, 10.10.2016

Aydın Mühürcü Ercan Köse

https://doi.org/10.24107/ijeas.255038

Abstract

In this study, the Lorenz chaotic system behavior is investigated according
to the change in the noise of the system and measurement. The noise was emerged
as an important impact on the Lorenz chaotic system. The discrete-time LQR (Linear Quadratic Regulator) control
method and discrete-time PI controller method have been used to the noisy
system controls. Noise was accepted as a destructor that changes the output
behavior of the chaotic system. Noisy system outputs were enforced to move to the
equilibrium points by the support of controllers. Optimization of the
controller parameters for noiseless system models was performed using a genetic
algorithm method. Then, both control system algorithms determined as successful in
transporting to the equilibrium point for state variables which are blended
with the noise. Changes, associated with the noise conditions are given in the
graphics and tables. Besides, the error performance criteria and the control
performance criteria were obtained to evaluate the results. This study was performed
by MATLAB-Simulink simulation program.

Keywords

Lorenz chaotic system, Gaussian white noise, Discrete-time PI, LQR, controller, Genetic algorithm, Matlab-Simulink

References

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