Abstract
In this paper, a dynamical analysis of the novel hyperchaotic system with four parameters is presented. Genetically optimized proportional integral and derivative (PID) controllers were designed and applied for the chaos suppression of the 4-D novel hyperchaotic system, by varying the genetic algorithms (GA) options to view the impact factor on the optimized PID controllers. The use of the final optimized PID controllers ensures less time of convergence and fast speed chaos suppression. In this paper, a dynamical analysis of the novel hyperchaotic system with four parameters is presented. Genetically optimized proportional integral and derivative (PID) controllers were designed and applied for the chaos suppression of the 4-D novel hyperchaotic system, by varying the genetic algorithms (GA) options to view the impact factor on the optimized PID controllers. The use of the final optimized PID controllers ensures less time of convergence and fast speed chaos suppression.
Highlights
The study of chaotic and hyper chaotic attractors arising in nonlinear dynamical systems has received much attention as it has potential applications in many branches of science and engineering
A hyperchaotic system is mathematically defined as a chaotic system having more than one positive Lyapunov exponents implying that its dynamics are expended simultaneously in many different directions
proportional integral and derivative (PID) control, in which parameters are optimized by genetic algorithm, is used in chaos suppression and synchronization for chaotic and hyper chaotic systems [11,12,13,14,15,16]
Summary
The study of chaotic and hyper chaotic attractors arising in nonlinear dynamical systems has received much attention as it has potential applications in many branches of science and engineering. A hyperchaotic system is mathematically defined as a chaotic system having more than one positive Lyapunov exponents implying that its dynamics are expended simultaneously in many different directions. There are many well-known hyperchaotic systems [6,7,8,9,10] and the 4-D novel hyperchaotic Vaidyanathan system [11]. PID control, in which parameters are optimized by genetic algorithm, is used in chaos suppression and synchronization for chaotic and hyper chaotic systems [11,12,13,14,15,16]. The Lyapunov exponents of the system are having two positive signs showing that the system is hyperchaotic
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