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

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

104 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

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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.",

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AU - Lee, Tong Heng

AU - He, Yong

AU - Chen, Bing

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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.

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KW - T-S fuzzy systems

KW - Time-delay

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