Title
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.
Year
DOI
Venue
2022
10.1016/j.automatica.2021.110102
Automatica
Keywords
DocType
Volume
Time-delay systems,PID control,Delay robustness,Pole placement,Steady-state tracking
Journal
137
Issue
ISSN
Citations 
1
0005-1098
0
PageRank 
References 
Authors
0.34
0
6
Name
Order
Citations
PageRank
Dan Ma1245.89
Islam Boussaada2168.12
Jianqi Chen395.62
Catherine Bonnet410415.77
Silviu-iulian Niculescu5821108.06
Jie Chen6647124.78