The Control of A Non-Linear Chaotic System Using Genetic and Particle Swarm Based On Optimization Algorithms

Abstract

In this study, the control of a non-linear system was realized by using a linear system control strategy. According to the strategy and by using the controller coefficients, system outputs were controlled for all reference points with the same coefficients via focused references. In the framework of this study, the Lorenz chaotic system as non-linear structure, and the discrete-time PI algorithm as the control algorithm has selected. The genetic algorithm and particle swarm optimization methods have used in the optimization process, and the success of both methods has been discussed among themselves. Closed-loop control system has run simultaneously under the Matlab / Simulink programmer. The results have discussed by using the ISE, IAE, ITAE error criteria, and improved dTISDSE purpose functions.

Keywords

• Lorenz chaotic system,discrete-time PI controller,genetic algorithm (GA),particle swarm optimization (PSO).

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