Lower Bounds on Delay Margin of Second-Order Unstable Systems

D. Ma; A. Liu; J. Chen; Silviu-Iulian Niculescu

Lower Bounds on Delay Margin of Second-Order Unstable Systems

D. Ma ¹ A. Liu ² J. Chen ² Silviu-Iulian Niculescu ³

1 College of Information Science and Engineering

2 CUHK - City University of Hong Kong [Hong Kong]

3 L2S - Laboratoire des signaux et systèmes

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. © 2018

Keywords : uncertain time delay Delay margin PID controller robust stabilization

Document type :

Conference papers

Domain :

Computer Science [cs] / Automatic Control Engineering

Complete list of metadatas

https://hal-centralesupelec.archives-ouvertes.fr/hal-02281721
Contributor : Delphine Le Piolet <>
Submitted on : Monday, September 9, 2019 - 2:23:32 PM
Last modification on : Wednesday, September 11, 2019 - 1:15:39 AM

Lower Bounds on Delay Margin of Second-Order Unstable Systems

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Lower Bounds on Delay Margin of Second-Order Unstable Systems

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