Delay range dependent fuzzy control design for nonlinear neutral systems with time varying delays

Min Kook Song, Jin Bae Park, Young Hoon Joo

Research output: Contribution to journalArticle

Abstract

In this paper, a new type of Lyapunov-Krasovskii functional method is constructed to study delay-range-dependent stability analysis and stabilization problems for Takagi-Sugeno (T-S) fuzzy neutral systems with time-varying delay. The present results may improve the existing ones due to a method to estimate the upper bound of the derivative of Lyapunov-Krasovskii functional without ignoring some useful terms and the introduction of additional terms into the proposed Lyapunov-Krasovskii functional, which take into account the range of delay. On the basis of a novel Lyapunov-Krasovskii functionals, which includes the information of the range of dealy, delay-range-dependent stability criteria are established in terms of linear matrix inequalities (LMIs). Moreover, the stability criteria are also used to design a stabilizing fuzzy controller. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.

Original languageEnglish
Pages (from-to)143-152
Number of pages10
JournalJournal of Intelligent and Fuzzy Systems
Volume26
Issue number1
DOIs
Publication statusPublished - 2014 Jan 1

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Neutral Systems
Stability criteria
Fuzzy control
Time-varying Delay
Fuzzy Control
Control Design
Nonlinear systems
Lyapunov-Krasovskii Functional
Nonlinear Systems
Dependent
Fuzzy systems
Linear matrix inequalities
Stability Criteria
Range of data
Stabilization
Derivatives
Controllers
Term
Fuzzy Controller
Fuzzy Systems

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Engineering(all)
  • Artificial Intelligence

Cite this

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Delay range dependent fuzzy control design for nonlinear neutral systems with time varying delays. / Song, Min Kook; Park, Jin Bae; Joo, Young Hoon.

In: Journal of Intelligent and Fuzzy Systems, Vol. 26, No. 1, 01.01.2014, p. 143-152.

Research output: Contribution to journalArticle

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