Particle swarm optimization with fractional-order velocity

E. J. Solteiro Pires (1) , J. A. Tenreiro Machado (2) , P. B. Moura Oliveira (1) , J. Boaventura Cunha (1) , Luís Mendes (3)

1 Centro de Investigação e de Tecnologias Agro-Ambientais e Biológicas
2 Inst. Sup. de Engenharia do Porto, Instituto Politécnico do Porto
3 Inst. Politécnico de Leiria/Inst. de telecomunicações

This paper proposes a novel method for controlling the convergence rate of a particle swarm optimization algorithm using fractional calculus (FC) concepts. The optimization is tested for several well-known functions and the relationship between the fractional order velocity and the convergence of the algorithm is observed. The FC demonstrates a potential for interpreting evolution of the algorithm and to control its convergence.

Mots clés: Particle swarm optimization; Fractional calculus

E. J. Solteiro Pires, J. A. Tenreiro Machado, P. B. Moura Oliveira, J. Boaventura Cunha, Luís Mendes. Particle swarm optimization with fractional-order velocity. Nonlinear Dynamics, 2010, 61 (1-2), pp.295-301. ⟨10.1007/s11071-009-9649-y⟩. ⟨hal-00553683⟩