PID Control Design for First-Order Delay Systems via MID Pole Placement: Performance vs. Robustness - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Automatica Year : 2021

PID Control Design for First-Order Delay Systems via MID Pole Placement: Performance vs. Robustness

Abstract

The PID control is favored in controlling industrial processes for its ease of implementation. In this paper we present an analytical study, with an aim at stability robustness, tracking performance, and pole placement of first-order unstable plants under PID control. We employ a multiplicity-induced dominancy (MID) strategy to design and tune PID controller gains, which is shown to possess desirable properties that ensure specified decay rate of the closed-loop response and the stability robustness of the closed-loop system in spite of variations in the delay parameter. We also study the tradeoff between delay robustness and tracking performance of PID controllers. We show that under the constraint of steady-state tracking, the maximal delay robustness range can be computed by solving a unimodal pseudo-concave optimization problem.
Fichier principal
Vignette du fichier
root.pdf (534.61 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-03427550 , version 1 (14-11-2021)

Identifiers

Cite

Dan Ma, Islam Boussaada, Jianqi Chen, Catherine Bonnet, Silviu-Iulian Niculescu, et al.. PID Control Design for First-Order Delay Systems via MID Pole Placement: Performance vs. Robustness. Automatica, 2021, ⟨10.1016/j.automatica.2021.110102⟩. ⟨hal-03427550⟩
241 View
481 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More