Parametric Design of Optimal in Average Fractional-Order PID Controller in Flight Control Problem

This paper considers a problem of fractional-order PID controller tuning to optimize it in average over a set of initial states of the plant-controller closed system and over a set of typical input signals. The problem is reduced to a multidimensional optimization problem. We suggest an approach to the solution, implementing it algorithmically. The approach is illustrated by a parametric design of an optimal in average fractional-order PID controller for pitch control of an aircraft.