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This paper proposes an energy efficient control strategy for an induction machine (IM) based on two advanced particle swarm optimisation (PSO) algorithms. Two advanced PSO algorithms, known as the dynamic particle swarm optimisation (Dynamic PSO) and the chaos particle swarm optimisation (Chaos PSO) algorithms modify the algorithm parameters to improve the performance of the standard PSO algorithm. These parameters are used to determine an optimal rotor flux reference for loss model-based energy efficient control of an IM. There is also a comparison of the results obtained when using a GA, standard PSO, dynamic PSO and chaos PSO algorithms. The comparison confirms the validity and effectiveness of the proposed energy efficient control strategy.