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

Research output: Contribution to journalArticle

81 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 languageEnglish
Pages (from-to)230-248
Number of pages19
JournalInformation sciences
Volume185
Issue number1
DOIs
Publication statusPublished - 2012 Feb 15

Fingerprint

Takagi-Sugeno Fuzzy Systems
Fuzzy Function
Domain of Attraction
Fuzzy systems
Lyapunov functions
Control Design
Controller Design
Lyapunov Function
Matrix Inequality
Continuous Time
Linear Inequalities
Stability Analysis
Linear matrix inequalities
Estimate
Controllers
Strategy
Linear matrix inequality
Attraction
Continuous time
Lyapunov function

All Science Journal Classification (ASJC) codes

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

Cite this

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A fuzzy Lyapunov function approach to estimating the domain of attraction for continuous-time Takagi-Sugeno fuzzy systems. / Lee, Dong Hwan; Park, Jin Bae; Joo, Young Hoon.

In: Information sciences, Vol. 185, No. 1, 15.02.2012, p. 230-248.

Research output: Contribution to journalArticle

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