Analytical parameters tuning of the fractional PIλDμ controller for an automatic voltage regulator

In this paper, an application of fractional order PI^λD^μ controller to an automatic voltage regulator is presented. The design strategy is drawn up such that the closed loop transfer function of the automatic voltage regulator system depends on the irrational function G_d1(s) = K₀/(τ₀s)^2m + 2ξ(τ₀s)^m +1. Formulae for the calculation of the five tuning parameters of the PI^λD^μ controller are given. Simulations are made to show the automatic voltage regulator system frequency and time responses.