Internal model control for a class of uncertain time-delay systems

Saeed Salavati Dezfuli, Behrouz Ebrahimi, Karolos Grigoriadis, Matthew Franchek

Research output: Chapter in Book/Report/Conference proceedingConference contribution

8 Scopus citations


Robust stability synthesis of a class of uncertain parameter-varying first-order time-delay systems is presented in this paper. Internal model principle is used to design a robust control using H∞ small-gain theorem. The closed-loop system robustness is investigated against bounded variation of the parameters and sensitivity analysis is performed to determine the stability conditions and provide a systematic framework to derive an explicit delay-dependent stability bound for the tuning parameter. The tuning parameter is further refined through performance analysis incorporating the complementary sensitivity function. Finally, the closed-loop response of a typical delay system is demonstrated for various operating conditions and parameters variations.

Original languageEnglish (US)
Title of host publication2016 American Control Conference, ACC 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages7
ISBN (Electronic)9781467386821
StatePublished - Jul 28 2016
Event2016 American Control Conference, ACC 2016 - Boston, United States
Duration: Jul 6 2016Jul 8 2016


Other2016 American Control Conference, ACC 2016
Country/TerritoryUnited States


  • Delay-Dependent Stability Criterion
  • H∞
  • Internal Model Control
  • Robust Control
  • Time-Delay
  • Uncertainty and Sensitivity Analysis

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


Dive into the research topics of 'Internal model control for a class of uncertain time-delay systems'. Together they form a unique fingerprint.

Cite this