2016
DOI: 10.1007/s11633-016-0990-6
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Hybrid particle swarm optimization with differential evolution for numerical and engineering optimization

Abstract: In this paper, a hybrid particle swarm optimization (PSO) algorithm with differential evolution (DE) is proposed for numerical benchmark problems and optimization of active disturbance rejection controller (ADRC) parameters. A chaotic map with greater Lyapunov exponent is introduced into PSO for balancing the exploration and exploitation abilities of the proposed algorithm. A DE operator is used to help PSO jump out of stagnation. Twelve benchmark function tests from CEC2005 and eight real world optimization p… Show more

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Cited by 52 publications
(17 citation statements)
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“…(2) Collect the input and output data u t and y t , t = 1, 2, … , p, form φ 1,k t by (27) and φ k t by (26). Construct Y p and Φ k p by (31) and (32), respectively.…”
Section: The Particle Swarm Optimization Algorithmmentioning
confidence: 99%
See 1 more Smart Citation
“…(2) Collect the input and output data u t and y t , t = 1, 2, … , p, form φ 1,k t by (27) and φ k t by (26). Construct Y p and Φ k p by (31) and (32), respectively.…”
Section: The Particle Swarm Optimization Algorithmmentioning
confidence: 99%
“…This algorithm has attracted the attention of academia with the advantages of easy implementation, high precision, and fast convergence [26]. Compared with the conventional optimization methods, it has excellent optimized performances and characteristics [27]. The particle swarm optimization algorithm has been widely used in function optimization, system identification, and fuzzy control [28][29][30].…”
Section: Introductionmentioning
confidence: 99%
“…Hybridization of DE with other algorithms is another way to overcome the drawbacks of both algorithms and further enhance the optimization performance. Depending on the type of algorithm, the DE can be hybridized with other EAs, such as ABC, CS, and PSO [13,22] or with different local search methods such as Powell's method, the Hook-Jeeves (HJ), and the Nelder-Mead (NM) [23][24][25]. Among them, the NM method has been chosen, due to its excellent local search ability.…”
Section: Introductionmentioning
confidence: 99%
“…The consensus has developed rapidly and yielded fruitful results, and has been widely applied to a variety of scientific and engineering problems, including synchronization of coupled oscillators, formation control, swarm control, optimal cooperative control, clustering, sensor networks, etc. (Lin, Zhang, & Liu, 2018;Zhang, Hu, Liu, Yu, & Liu, 2019). This paper will introduce mainly the development and research status from the following aspects: consensus subjected to communication constraints, leaderfollowing consensus, group consensus, consensus based on trigger mechanism, finite-time consensus, multiple consensus and multiple tracking.…”
Section: Introductionmentioning
confidence: 99%