A fuzzy Lyapunov function approach to estimating the domain of attraction for continuous-time Takagi-Sugeno fuzzy systems

Dong Hwan Lee; Jin Bae Park; Young Hoon Joo

doi:10.1016/j.ins.2011.06.008

A fuzzy Lyapunov function approach to estimating the domain of attraction for continuous-time Takagi-Sugeno fuzzy systems

Dong Hwan Lee, Jin Bae Park, Young Hoon Joo

Department of Electrical and Electronic Engineering

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

99 Citations (Scopus)

Abstract

This paper deals with stability analysis and control design problems for continuous-time Takagi-Sugeno (T-S) fuzzy systems. The first aim is to present less conservative linear matrix inequality (LMI) conditions to design controllers and assess the stability. The second relevant contribution is to present a new strategy to find an inner estimate of the domain of attraction (DA) via LMIs. The results are based on the fuzzy Lyapunov functions (FLFs) and non-parallel distributed compensation (non-PDC) approaches. Finally, examples illustrate the effectiveness and merits of the proposed methods.

Original language	English
Pages (from-to)	230-248
Number of pages	19
Journal	Information sciences
Volume	185
Issue number	1
DOIs	https://doi.org/10.1016/j.ins.2011.06.008
Publication status	Published - 2012 Feb 15

Bibliographical note

Funding Information:
The authors would like to thank the Associate Editor and the anonymous Reviewers for their careful reading and constructive suggestions. This research was financially supported by the Ministry of Education, Science Technology (MEST) and National Research Foundation of Korea(NRF) through the Human Resource Training Project for Regional Innovation.

All Science Journal Classification (ASJC) codes

Software
Control and Systems Engineering
Theoretical Computer Science
Computer Science Applications
Information Systems and Management
Artificial Intelligence

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10.1016/j.ins.2011.06.008

Cite this

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abstract = "This paper deals with stability analysis and control design problems for continuous-time Takagi-Sugeno (T-S) fuzzy systems. The first aim is to present less conservative linear matrix inequality (LMI) conditions to design controllers and assess the stability. The second relevant contribution is to present a new strategy to find an inner estimate of the domain of attraction (DA) via LMIs. The results are based on the fuzzy Lyapunov functions (FLFs) and non-parallel distributed compensation (non-PDC) approaches. Finally, examples illustrate the effectiveness and merits of the proposed methods.",

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AB - This paper deals with stability analysis and control design problems for continuous-time Takagi-Sugeno (T-S) fuzzy systems. The first aim is to present less conservative linear matrix inequality (LMI) conditions to design controllers and assess the stability. The second relevant contribution is to present a new strategy to find an inner estimate of the domain of attraction (DA) via LMIs. The results are based on the fuzzy Lyapunov functions (FLFs) and non-parallel distributed compensation (non-PDC) approaches. Finally, examples illustrate the effectiveness and merits of the proposed methods.

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A fuzzy Lyapunov function approach to estimating the domain of attraction for continuous-time Takagi-Sugeno fuzzy systems

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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