Discretized fractional calculus
SIAM Journal on Mathematical Analysis
Evolution strategies –A comprehensive introduction
Natural Computing: an international journal
Differential Evolution: A Practical Approach to Global Optimization (Natural Computing Series)
Differential Evolution: A Practical Approach to Global Optimization (Natural Computing Series)
Music-Inspired Harmony Search Algorithm: Theory and Applications
Music-Inspired Harmony Search Algorithm: Theory and Applications
An Improved Harmony Search Algorithm with Differential Mutation Operator
Fundamenta Informaticae - Swarm Intelligence
Optimal scheduling of multiple dam system using harmony search algorithm
IWANN'07 Proceedings of the 9th international work conference on Artificial neural networks
Controller parameter optimization for nonlinear systems using enhanced bacteria foraging algorithm
Applied Computational Intelligence and Soft Computing
Bio-inspired computation: success and challenges of IJBIC
International Journal of Bio-Inspired Computation
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Harmony Search (HS) has recently emerged as an efficient metaheuristic algorithm that draws inspiration from the music improvisation process. This article describes the design of fractional-order proportional-integral-derivative (FOPID) controllers, using a newly developed variant of HS, known as differential harmony search (DHS). Design of FOPID controllers is more complex than that of conventional integer-order PID controller since the latter involves only three parameters while the former involves five parameters to tune. Controller synthesis is based on user specifications like peak overshoot and, rise time; which are used to formulate a single objective optimisation problem. Tustin operator-based continuous fraction expansion (CFE) scheme was used to digitally realise fractional-order closed loop transfer function of the designed plant-controller setup. Experimental results of comparison between DHS and a few established optimisation techniques [particle swarm optimisation (PSO) and genetic algorithm (GA)] over different instantiations of the design problem reflect the superiority of the proposed methodology.