RLS Control of a linear system.

Abstract 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-

knownfunctionsandtherelationshipbetweenthefrac-

tional order velocity and the convergence of the algo-

rithmisobserved.TheFCdemonstratesapotentialfor

interpreting evolution of the algorithm and to control

itsconvergence.