Lower Bounds on Delay Margin of Second-Order Unstable Systems⁎. Issue 14 (2018)

• Record Type: Journal Article
• Authors: Ma, Dan; Chen, Jianqi; Liu, Andong; Chen, Jie; Niculescu, Silviu-Iulian
• Is Part Of: IFAC-PapersOnLine. Volume 51:Issue 14(2018)
• Page Start: 242
• Page End: 247
• Publication Date: 2018
• Subjects: Delay margin -- robust stabilization -- uncertain time delay -- PID controller; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2018.07.230
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: This paper examines the delay margin achievable by using PID controllers for linear time-invariant (LTI) systems subject to variable, unknown time delays. We derive explicit lower bounds on the delay margin of second-order unstable delay systems achievable by PID control, which provide a priori the ranges of delay over which a second-order delay plant is guaranteed to be stabilizable by a PID controller, and more generally, by a finite-dimensional LTI controller. Analysis shows that our results are less conservative in most cases than lower bounds obtained elsewhere using more sophisticated and general LTI controllers.