A delay partitioning approach to delay-range-dependent stability analysis of fuzzy systems

Min Kook Song, Jin Bae Park, Young Hoon Joo

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


This paper is concerned with the stability analysis of Takagi-Sugeno (T-S) fuzzy systems with time varying delays in a given range. The delay partitioning approach is proposed to solving the problem of stability analysis for T-S fuzzy systems. By employing a new type of Lyapunov-Krasovskii functionals, delay-range-dependent stability criteria are derived for T-S fuzzy systems. The idea of the approach is that the delay interval is uniformly divided into N segments with N a positive integer, and a proper Lyapunov-Krasovskii functional is chosen with different weighted matrices corresponding to different segments in the Lyapunov-Krasovskii functional. All the sufficient criteria are established in terms of linear matrix inequalities (LMIs), which can be solved efficiently by using the LMI algorithm. Finally, numerical example is given to illustrate the less conservatism of the proposed method.

Original languageEnglish
Pages (from-to)143-149
Number of pages7
JournalInternational Journal of Control, Automation and Systems
Issue number1
Publication statusPublished - 2012 Feb

Bibliographical note

Funding Information:
This work was supported by the Human Resources Development of the Korea Institute of Energy Technology Evaluation and Planning (KETEP) grant funded by the Korea government Ministry of Knowledge Economy (No. 20104010100590).

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Computer Science Applications


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