Delay-dependent feedforward control of time-delay systems with parametric uncertainties via dynamic IQCs

Research output: Contribution to journalArticle

Abstract

This paper studies the design problem of a robust delay-dependent H¿8¿ feedforward controller design for a class of linear uncertain time-delay system having state and control delays when the system is subject to L2-type disturbances. The proposed controller scheme involves two main controllers, which are static state-feedback and dynamic feedforward controllers. The state-feedback controller is used for stabilizing the delay and uncertainty-free system, whereas the feedforward controller performs disturbance attenuation. Dynamic type integral quadratic constraints (IQCs), which consist of frequency-dependent multipliers, have been introduced to represent the delays and parametric uncertainties in the system where the degree of the multiplier used in IQC representation is in an adjustable nature. This scheme allows the designer to obtain less conservative controllers with increasing precision. Sufficient delay-dependent criteria in terms of linear matrix inequalities are obtained such that the uncertain linear time-delay system is guaranteed to be globally, uniformly, asymptotically stable with a minimum disturbance attenuation level. Several numerical examples together with the simulation studies provided at the end illustrate the usefulness of the proposed design. Copyright pyright 2012 John Wiley & Sons, Ltd.
Original languageEnglish
Pages (from-to)127-144
Number of pages18
JournalOptimal Control Applications and Methods
Volume35
Issue number2
DOIs
Publication statusPublished - Mar 2014

Fingerprint

Feedforward Control
Quadratic Constraint
Feedforward control
Parametric Uncertainty
Delay-dependent
Time-delay Systems
Time delay
Controller
Controllers
Feedforward
Disturbance Attenuation
State Feedback
Multiplier
State feedback
Delay-dependent Criteria
Uncertain Systems
Asymptotically Stable
Controller Design
Matrix Inequality
Uncertainty

Keywords

  • time delay systems
  • feed forward control
  • dynamic integral quadratic
  • controller synthesis

Cite this

Ucun, Levent ; Kucukdemiral, Ibrahim B. / Delay-dependent feedforward control of time-delay systems with parametric uncertainties via dynamic IQCs. In: Optimal Control Applications and Methods. 2014 ; Vol. 35, No. 2. pp. 127-144.
@article{232915bbca604f3590e29913d876c726,
title = "Delay-dependent feedforward control of time-delay systems with parametric uncertainties via dynamic IQCs",
abstract = "This paper studies the design problem of a robust delay-dependent H¿8¿ feedforward controller design for a class of linear uncertain time-delay system having state and control delays when the system is subject to L2-type disturbances. The proposed controller scheme involves two main controllers, which are static state-feedback and dynamic feedforward controllers. The state-feedback controller is used for stabilizing the delay and uncertainty-free system, whereas the feedforward controller performs disturbance attenuation. Dynamic type integral quadratic constraints (IQCs), which consist of frequency-dependent multipliers, have been introduced to represent the delays and parametric uncertainties in the system where the degree of the multiplier used in IQC representation is in an adjustable nature. This scheme allows the designer to obtain less conservative controllers with increasing precision. Sufficient delay-dependent criteria in terms of linear matrix inequalities are obtained such that the uncertain linear time-delay system is guaranteed to be globally, uniformly, asymptotically stable with a minimum disturbance attenuation level. Several numerical examples together with the simulation studies provided at the end illustrate the usefulness of the proposed design. Copyright pyright 2012 John Wiley & Sons, Ltd.",
keywords = "time delay systems, feed forward control, dynamic integral quadratic, controller synthesis",
author = "Levent Ucun and Kucukdemiral, {Ibrahim B.}",
year = "2014",
month = "3",
doi = "10.1002/oca.2053",
language = "English",
volume = "35",
pages = "127--144",
number = "2",

}

Delay-dependent feedforward control of time-delay systems with parametric uncertainties via dynamic IQCs. / Ucun, Levent; Kucukdemiral, Ibrahim B.

In: Optimal Control Applications and Methods, Vol. 35, No. 2, 03.2014, p. 127-144.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Delay-dependent feedforward control of time-delay systems with parametric uncertainties via dynamic IQCs

AU - Ucun, Levent

AU - Kucukdemiral, Ibrahim B.

PY - 2014/3

Y1 - 2014/3

N2 - This paper studies the design problem of a robust delay-dependent H¿8¿ feedforward controller design for a class of linear uncertain time-delay system having state and control delays when the system is subject to L2-type disturbances. The proposed controller scheme involves two main controllers, which are static state-feedback and dynamic feedforward controllers. The state-feedback controller is used for stabilizing the delay and uncertainty-free system, whereas the feedforward controller performs disturbance attenuation. Dynamic type integral quadratic constraints (IQCs), which consist of frequency-dependent multipliers, have been introduced to represent the delays and parametric uncertainties in the system where the degree of the multiplier used in IQC representation is in an adjustable nature. This scheme allows the designer to obtain less conservative controllers with increasing precision. Sufficient delay-dependent criteria in terms of linear matrix inequalities are obtained such that the uncertain linear time-delay system is guaranteed to be globally, uniformly, asymptotically stable with a minimum disturbance attenuation level. Several numerical examples together with the simulation studies provided at the end illustrate the usefulness of the proposed design. Copyright pyright 2012 John Wiley & Sons, Ltd.

AB - This paper studies the design problem of a robust delay-dependent H¿8¿ feedforward controller design for a class of linear uncertain time-delay system having state and control delays when the system is subject to L2-type disturbances. The proposed controller scheme involves two main controllers, which are static state-feedback and dynamic feedforward controllers. The state-feedback controller is used for stabilizing the delay and uncertainty-free system, whereas the feedforward controller performs disturbance attenuation. Dynamic type integral quadratic constraints (IQCs), which consist of frequency-dependent multipliers, have been introduced to represent the delays and parametric uncertainties in the system where the degree of the multiplier used in IQC representation is in an adjustable nature. This scheme allows the designer to obtain less conservative controllers with increasing precision. Sufficient delay-dependent criteria in terms of linear matrix inequalities are obtained such that the uncertain linear time-delay system is guaranteed to be globally, uniformly, asymptotically stable with a minimum disturbance attenuation level. Several numerical examples together with the simulation studies provided at the end illustrate the usefulness of the proposed design. Copyright pyright 2012 John Wiley & Sons, Ltd.

KW - time delay systems

KW - feed forward control

KW - dynamic integral quadratic

KW - controller synthesis

U2 - 10.1002/oca.2053

DO - 10.1002/oca.2053

M3 - Article

VL - 35

SP - 127

EP - 144

IS - 2

ER -