Title
Explicit bounds for guaranteed stabilization by PID control of second-order unstable delay systems.
Abstract
In this paper we derive explicit lower bounds on the delay margin of second-order unstable delay systems achievable by PID control, which provide a priori a guaranteed range of delay values over which a second-order delay plant can be stabilized by a PID, and more generally, a finite-dimensional LTI controller. This is done by deriving lower bounds on the delay margin achievable by PD controllers, whereas this margin constitutes a lower bound on that achievable by PID controllers. Analysis shows that in most cases our results can be significantly less conservative than the lower bounds obtained elsewhere using more sophisticated, general LTI controllers.
Year
DOI
Venue
2019
10.1016/j.automatica.2018.11.053
Automatica
Keywords
Field
DocType
Delay margin,Robust stabilization,Uncertain time delay,PID controller
Control theory,PID controller,Upper and lower bounds,Control theory,A priori and a posteriori,Mathematics
Journal
Volume
Issue
ISSN
100
100
0005-1098
Citations 
PageRank 
References 
2
0.39
12
Authors
5
Name
Order
Citations
PageRank
Dan Ma1245.89
Jianqi Chen295.62
Andong Liu316213.28
Jie Chen4647124.78
Silviu-iulian Niculescu5821108.06