Comparison of PDD^1/2 and PD^u Position Controls of a Second Order Linear System

Luca Bruzzone and Pietro Fanghella

Keywords

Control, Simulation, Fractional calculus

Abstract

This paper compares the application of the PDD^1/2 and PD^u fractional-order control schemes to position control of a purely inertial, second order system. The PDD^1/2 control is a PD control with the addition of the half-derivative term, while the PD^u scheme, with non-integer derivative, is the most common approach to fractional-order control synthesis. The comparison between PDD^1/2 and PD^u is performed using nondimensional variables and parameters for generality. Simulations analyse the dynamic behaviour of the closed-loop system for tunings of the two control schemes which are characterized by equal settling energy in case of unit step input. The results demonstrate that, with the considered hypotheses, the PDD^1/2 control is more profitable than PD and PD^u controls in improving the control readiness, with the drawback of a limited increase of the overshoot.

Important Links:

• DOI: 10.2316/P.2014.809-043
• From Proceeding (809) Modelling, Identification and Control - 2014

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