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

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

doi:10.1109/ACC.2016.7525039

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

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

Houston Methodist

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

8 Scopus citations

Abstract

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 language	English (US)
Title of host publication	2016 American Control Conference, ACC 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	960-966
Number of pages	7
Volume	2016-July
ISBN (Electronic)	9781467386821
DOIs	https://doi.org/10.1109/ACC.2016.7525039
State	Published - Jul 28 2016
Event	2016 American Control Conference, ACC 2016 - Boston, United States Duration: Jul 6 2016 → Jul 8 2016

Other

Other	2016 American Control Conference, ACC 2016
Country/Territory	United States
City	Boston
Period	7/6/16 → 7/8/16

Keywords

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

ASJC Scopus subject areas

Electrical and Electronic Engineering

Access to Document

10.1109/ACC.2016.7525039

Cite this

Internal model control for a class of uncertain time-delay systems. / Dezfuli, Saeed Salavati; Ebrahimi, Behrouz; Grigoriadis, Karolos et al.
2016 American Control Conference, ACC 2016. Vol. 2016-July Institute of Electrical and Electronics Engineers Inc., 2016. p. 960-966 7525039.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Dezfuli, SS, Ebrahimi, B, Grigoriadis, K & Franchek, M 2016, Internal model control for a class of uncertain time-delay systems. in 2016 American Control Conference, ACC 2016. vol. 2016-July, 7525039, Institute of Electrical and Electronics Engineers Inc., pp. 960-966, 2016 American Control Conference, ACC 2016, Boston, United States, 7/6/16. https://doi.org/10.1109/ACC.2016.7525039

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title = "Internal model control for a class of uncertain time-delay systems",

abstract = "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.",

keywords = "Delay-Dependent Stability Criterion, H∞, Internal Model Control, Robust Control, Time-Delay, Uncertainty and Sensitivity Analysis",

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AU - Dezfuli, Saeed Salavati

AU - Ebrahimi, Behrouz

AU - Grigoriadis, Karolos

AU - Franchek, Matthew

PY - 2016/7/28

Y1 - 2016/7/28

N2 - 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.

AB - 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.

KW - Delay-Dependent Stability Criterion

KW - H∞

KW - Internal Model Control

KW - Robust Control

KW - Time-Delay

KW - Uncertainty and Sensitivity Analysis

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M3 - Conference contribution

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SP - 960

EP - 966

BT - 2016 American Control Conference, ACC 2016

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2016 American Control Conference, ACC 2016

Y2 - 6 July 2016 through 8 July 2016

ER -

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

Abstract

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Keywords

ASJC Scopus subject areas

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