2013
DOI: 10.5829/idosi.ije.2013.26.11b.05
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Suppression of Chaotic Behavior in Duffing-holmes System using Back-stepping Controller Optimized by Unified Particle Swarm Optimization Algorithm

Abstract: The nonlinear behavior analysis and chaos control for Duffing-Holmes chaotic system is discussed in this paper. In order to suppress the irregular chaotic motion, an optimal back-stepping controller is designed. The back-stepping method consists of parameters with positive values. The improper selection of the parameters leads to inappropriate responses or even may lead to instability of the system. In this paper, the Unified particle swarm optimization (UPSO) algorithm is utilized to determine the convenient … Show more

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Cited by 6 publications
(5 citation statements)
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“…A variable-displacement axial piston pump (2) delivers the pressurized flow with the help of a fixed-speed electric motor (1). Pressure transducers (9) are used to measure the pressure in the actuator's (3) chambers. The hydraulic accumulator ( 7) is treated as a detached component, so it is not shown in the schematic diagram.…”
Section: Variable Displacement Electro Hydro-static Actuation (Vdeha)...mentioning
confidence: 99%
See 1 more Smart Citation
“…A variable-displacement axial piston pump (2) delivers the pressurized flow with the help of a fixed-speed electric motor (1). Pressure transducers (9) are used to measure the pressure in the actuator's (3) chambers. The hydraulic accumulator ( 7) is treated as a detached component, so it is not shown in the schematic diagram.…”
Section: Variable Displacement Electro Hydro-static Actuation (Vdeha)...mentioning
confidence: 99%
“…Closed-loop and open-loop control are the two different types of control techniques that are utilized for the electrohydraulic actuation system. Several closedloop control strategies, including back-stepping control [6][7][8][9], advanced adaptive control [10][11][12], sliding mode control [13], PID control [14], intelligent control [15], and unknown dynamics estimator control [16,17], have been developed for use in control application of electrohydraulic systems. By combining feedback and dynamics estimation, these approaches can achieve extremely high control accuracy.…”
Section: Introductionmentioning
confidence: 99%
“…In which x = sin ( t∕10) . In order to have a quantitative comparison, consider the criterion Fitness = ∫ 10 0 � ∑ i e 2 i � dt [43][44][45][46][47][48][49][50][51][52]. All the controller parameters are the same as those presented in simulation 1.…”
Section: Simulation 2: Comparison Between Different Uncertainty Estimmentioning
confidence: 99%
“…PSO is one of the most popular algorithms of the Swarm intelligence proposed by Kennedy and Eberhart [40]. This algorithm is inspired by the natural process of group communication that it was used to model and control many physical and engineering applications [44,45].…”
Section: Particle Swarm Optimizationmentioning
confidence: 99%