Multi-controller approach to uncertain discrete-time-delay systems

Magdi Sadek Mahmoud; Yuanqing Xia

doi:10.1504/IJSCC.2013.058182

Multi-controller approach to uncertain discrete-time-delay systems

Magdi Sadek Mahmoud^*
, Yuanqing Xia

^*Corresponding author for this work

School of Automation

King Fahd University of Petroleum and Minerals

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

In this paper, a switched robust control is designed for a class of discrete-time systems subject to linear fractional uncertainty and interval time-delays. The controller is based on state feedback and the LMIs-based stability conditions are derived using an improved Lyapunov-Krasovskii functional. Moreover, the switching rule as well as the state feedback gains are determined from the minimisation of a guaranteed cost function. The theoretical results are illustrated with numerical examples.

Original language	English
Pages (from-to)	328-346
Number of pages	19
Journal	International Journal of Systems, Control and Communications
Volume	5
Issue number	3-4
DOIs	https://doi.org/10.1504/IJSCC.2013.058182
Publication status	Published - 2013

Keywords

Discrete time-delay systems
Interval time-delays
LMIs
Linear fractional uncertainty
Switched state-feedback

Access to Document

10.1504/IJSCC.2013.058182

Cite this

@article{6eabddd4f7234aa992ed2b744e1a66db,

title = "Multi-controller approach to uncertain discrete-time-delay systems",

abstract = "In this paper, a switched robust control is designed for a class of discrete-time systems subject to linear fractional uncertainty and interval time-delays. The controller is based on state feedback and the LMIs-based stability conditions are derived using an improved Lyapunov-Krasovskii functional. Moreover, the switching rule as well as the state feedback gains are determined from the minimisation of a guaranteed cost function. The theoretical results are illustrated with numerical examples.",

keywords = "Discrete time-delay systems, Interval time-delays, LMIs, Linear fractional uncertainty, Switched state-feedback",

author = "Mahmoud, \{Magdi Sadek\} and Yuanqing Xia",

year = "2013",

doi = "10.1504/IJSCC.2013.058182",

language = "English",

volume = "5",

pages = "328--346",

journal = "International Journal of Systems, Control and Communications",

issn = "1755-9340",

publisher = "Inderscience",

number = "3-4",

}

TY - JOUR

T1 - Multi-controller approach to uncertain discrete-time-delay systems

AU - Mahmoud, Magdi Sadek

AU - Xia, Yuanqing

PY - 2013

Y1 - 2013

N2 - In this paper, a switched robust control is designed for a class of discrete-time systems subject to linear fractional uncertainty and interval time-delays. The controller is based on state feedback and the LMIs-based stability conditions are derived using an improved Lyapunov-Krasovskii functional. Moreover, the switching rule as well as the state feedback gains are determined from the minimisation of a guaranteed cost function. The theoretical results are illustrated with numerical examples.

AB - In this paper, a switched robust control is designed for a class of discrete-time systems subject to linear fractional uncertainty and interval time-delays. The controller is based on state feedback and the LMIs-based stability conditions are derived using an improved Lyapunov-Krasovskii functional. Moreover, the switching rule as well as the state feedback gains are determined from the minimisation of a guaranteed cost function. The theoretical results are illustrated with numerical examples.

KW - Discrete time-delay systems

KW - Interval time-delays

KW - LMIs

KW - Linear fractional uncertainty

KW - Switched state-feedback

UR - https://www.scopus.com/pages/publications/84894487116

U2 - 10.1504/IJSCC.2013.058182

DO - 10.1504/IJSCC.2013.058182

M3 - Article

AN - SCOPUS:84894487116

SN - 1755-9340

VL - 5

SP - 328

EP - 346

JO - International Journal of Systems, Control and Communications

JF - International Journal of Systems, Control and Communications

IS - 3-4

ER -

Multi-controller approach to uncertain discrete-time-delay systems

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this