Fractional-Order PIλDμ Controller Design Using a Modified Artificial Bee Colony Algorithm

Artificial Bee Colony (ABC) algorithm is one of the most recent swarm intelligent foraging based algorithms for real parameter optimization over continuous spaces. It has shown great consistency in outperforming different types of evolutionary approaches when tested over various instances, from traditional benchmark functions to real-world practical problems. This paper describes the design of Fractional-Order Proportional-Integral-Derivative (FOPI) controllers, using a variant of ABC, known as C-ABC (Cauchy Mutated Artificial Bee Colony Algorithm). FOPID controllers' parameters are composed of the proportionality constant, integral constant, derivative constant, derivative order and integral order, and its design is more complex than that of conventional integer-order proportional-integral-derivative (PID) controller. In this approach controller synthesis is based on user specifications like peak overshoot and rise time; which are used to develop a single objective optimization problem. Simulation results for some real world practical instances and, comparison of the same for C-ABC and few established optimization techniques (Basic ABC, Particle Swarm Optimization (PSO) and Genetic Algorithm (GA)) have been demonstrated to show the superiority of the proposed design technique.