PID control design for first-order delay systems via MID pole placement: Performance vs. robustness

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-induce...

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Bibliographic Details
Published inAutomatica (Oxford) Vol. 137; p. 110102
Main Authors Ma, Dan, Boussaada, Islam, Chen, Jianqi, Bonnet, Catherine, Niculescu, Silviu-Iulian, Chen, Jie
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.03.2022
Elsevier
Subjects
Automatic
Delay robustness
Dynamical Systems
Engineering Sciences
Mathematics
PID control
Pole placement
Steady-state tracking
Time-delay systems
Time-delay systems
Delay robustness
Pole placement
PID control
Steady-state tracking
delay robustness
steady-state tracking
pole placement
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Summary: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.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2021.110102