Design of fractional-order PIλDµ controllers with an improved differential evolution

Authors:
Arijit Biswas;Swagatam Das;Ajith Abraham;Sambarta Dasgupta
Affiliations:
Department of Electronics and Telecommunication Engineering, Jadavpur University, Kolkata, India;Department of Electronics and Telecommunication Engineering, Jadavpur University, Kolkata, India;Norwegian University of Science and Technology, Norway;Department of Electronics and Telecommunication Engineering, Jadavpur University, Kolkata, India
Venue:
Engineering Applications of Artificial Intelligence
Year:
2009

Citing 5
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Abstract

Differential evolution (DE) has recently emerged as a simple yet very powerful technique for real parameter optimization. This article describes an application of DE to the design of fractional-order proportional-integral-derivative (FOPID) controllers involving fractional-order integrator and fractional-order differentiator. 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. Here the controller synthesis is based on user-specified peak overshoot and rise time and has been formulated as a single objective optimization problem. In order to digitally realize the fractional-order closed-loop transfer function of the designed plant, Tustin operator-based continuous fraction expansion (CFE) scheme was used in this work. Several simulation examples as well as comparisons of DE with two other state-of-the-art optimization techniques (Particle Swarm Optimization and binary Genetic Algorithm) over the same problems demonstrate the superiority of the proposed approach especially for actuating fractional-order plants. The proposed technique may serve as an efficient alternative for the design of next-generation fractional-order controllers.