Optimal tuning of fractional order PIλDμ controllers using genetic algorithms

This paper investigates the efficiency of optimization algorithms to adjust the fractional order PI
^λ
D
^μ
controller parameters. We used genetic algorithms (GA) to minimize an error function defined in the time-domain, between the system output response and the system step input (where the gap is the error in response to step unit set point). This optimization is denoted step optimization. The optimization criterion used in this method is the ITAE (Integral of Time and Absolute Error). Simulation results show the efficiency of genetic algorithms for optimal tuning of the PI
^λ
D
^μ
controller parameters.