PDD^1/2 Control of Purely Inertial Systems: Nondimensional Analysis of the Ramp Response

Luca Bruzzone and Giorgio Bozzini

Keywords

Control, Simulation, fractional calculus, PDD^1/2 control

Abstract

The paper discusses the ramp response of a second-order (purely inertial) linear system controlled by means of a fractional-order PDD^1/2 scheme. The PDD^1/2 is an extension of the classical PD scheme, characterized by the introduction of the half derivative term: a third gain multiplies the half-derivative of the error. As shown in previous works, in case of step response the proper combination of the half-derivative and derivative terms reduces the settling time under the conditions of finite control output and null overshoot. In the present paper the ramp response of the system, tuned using the same criterion, is analyzed, exploiting a nondimensional approach for the sake of generality. The results show that the PDD^1/2 control reduces the settling time with respect to the PD scheme also in case of ramp setpoint.

Important Links:

• DOI: 10.2316/P.2011.718-056
• From Proceeding (717) Artificial Intelligence and Applications / 718: Modelling, Identification, and Control - 2011

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