The Proportional-Integral-Derivative Controller is widely used in industries for process control applications. Fractional-order PID controllers are known to outperform their integer-order counterparts. In this paper, we propose a new technique of fractional-order PID controller synthesis based on peak overshoot and rise-time specifications. Our approach is to construct an objective function, the optimization of which yields a possible solution to the design problem. This objective function is optimized using two popular bio-inspired stochastic search algorithms, namely Particle Swarm Optimization and Differential Evolution. With the help of a suitable example, the superiority of the designed fractional-order PID controller to an integer-order PID controller is affirmed and a comparative study of the efficacy of the two above algorithms in solving the optimization problem is also presented.
@article{arxiv.0811.0079,
title = {The Application of Stochastic Optimization Algorithms to the Design of a Fractional-order PID Controller},
author = {Mithun Chakraborty and Deepyaman Maiti and Amit Konar},
journal= {arXiv preprint arXiv:0811.0079},
year = {2008}
}
Comments
2008 IEEE Region 10 Colloquium and the Third ICIIS, Kharagpur, INDIA. Paper Identification Number: 396