Observer-based H∞ fuzzy control design for T-S fuzzy systems with state delays

Chong Lin; Qing Guo Wang; Tong Heng Lee; Yong He; Bing Chen

doi:10.1016/j.automatica.2007.07.018

Observer-based H_∞ fuzzy control design for T-S fuzzy systems with state delays

Chong Lin
, Qing Guo Wang
, Tong Heng Lee
, Yong He
, Bing Chen

Qingdao University
National University of Singapore
Central South University

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

107 Citations (Scopus)

Abstract

This paper is concerned with the problem of observer-based H_∞ fuzzy control design for Takagi-Sugeno (T-S) fuzzy systems with time-delay. The main contribution is that an effective matrix decoupling technique is developed to derive a single-step LMI condition for observer-based H_∞ control design. This overcomes the drawback of two-step LMI approach in the literature. When restricted to delay-free fuzzy systems, the present result is shown less conservative than existing ones. An illustrative example is given to show the effectiveness of our results.

Original language	English
Pages (from-to)	868-874
Number of pages	7
Journal	Automatica
Volume	44
Issue number	3
DOIs	https://doi.org/10.1016/j.automatica.2007.07.018
Publication status	Published - Mar 2008
Externally published	Yes

Keywords

H control
Observer
T-S fuzzy systems
Time-delay

ASJC Scopus subject areas

Control and Systems Engineering
Electrical and Electronic Engineering

Access to Document

10.1016/j.automatica.2007.07.018

Cite this

@article{5e170cf60f104367b65b1527d31d7980,

title = "Observer-based H∞ fuzzy control design for T-S fuzzy systems with state delays",

abstract = "This paper is concerned with the problem of observer-based H∞ fuzzy control design for Takagi-Sugeno (T-S) fuzzy systems with time-delay. The main contribution is that an effective matrix decoupling technique is developed to derive a single-step LMI condition for observer-based H∞ control design. This overcomes the drawback of two-step LMI approach in the literature. When restricted to delay-free fuzzy systems, the present result is shown less conservative than existing ones. An illustrative example is given to show the effectiveness of our results.",

keywords = "H control, Observer, T-S fuzzy systems, Time-delay",

author = "Chong Lin and Wang, \{Qing Guo\} and Lee, \{Tong Heng\} and Yong He and Bing Chen",

year = "2008",

month = mar,

doi = "10.1016/j.automatica.2007.07.018",

language = "English",

volume = "44",

pages = "868--874",

journal = "Automatica",

issn = "0005-1098",

publisher = "Elsevier Ltd.",

number = "3",

}

TY - JOUR

T1 - Observer-based H∞ fuzzy control design for T-S fuzzy systems with state delays

AU - Lin, Chong

AU - Wang, Qing Guo

AU - Lee, Tong Heng

AU - He, Yong

AU - Chen, Bing

PY - 2008/3

Y1 - 2008/3

N2 - This paper is concerned with the problem of observer-based H∞ fuzzy control design for Takagi-Sugeno (T-S) fuzzy systems with time-delay. The main contribution is that an effective matrix decoupling technique is developed to derive a single-step LMI condition for observer-based H∞ control design. This overcomes the drawback of two-step LMI approach in the literature. When restricted to delay-free fuzzy systems, the present result is shown less conservative than existing ones. An illustrative example is given to show the effectiveness of our results.

AB - This paper is concerned with the problem of observer-based H∞ fuzzy control design for Takagi-Sugeno (T-S) fuzzy systems with time-delay. The main contribution is that an effective matrix decoupling technique is developed to derive a single-step LMI condition for observer-based H∞ control design. This overcomes the drawback of two-step LMI approach in the literature. When restricted to delay-free fuzzy systems, the present result is shown less conservative than existing ones. An illustrative example is given to show the effectiveness of our results.

KW - H control

KW - Observer

KW - T-S fuzzy systems

KW - Time-delay

UR - https://www.scopus.com/pages/publications/39549090151

U2 - 10.1016/j.automatica.2007.07.018

DO - 10.1016/j.automatica.2007.07.018

M3 - Article

AN - SCOPUS:39549090151

SN - 0005-1098

VL - 44

SP - 868

EP - 874

JO - Automatica

JF - Automatica

IS - 3

ER -