A Fuzzy Lyapunov-Krasovskii Functional Approach to Sampled-Data Output-Feedback Stabilization of Polynomial Fuzzy Systems

Han Sol Kim, Jin Bae Park, Young Hoon Joo

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

This paper presents an output-feedback exponential stabilization condition of sampled-data polynomial fuzzy control systems under variable sampling rates. Compared with previous work, the proposed method is less conservative because of the newly developed time-dependent fuzzy Lyapunov-Krasovskii functional that is based on the conventional fuzzy Lyapunov function. Moreover, the controller is allowed to contain polynomial gain matrices, thereby improving the control performance and design flexibility. This is realized by assuming the difference between the continuous- and discrete-time state vectors as time-varying norm-bounded uncertainties, which are manipulated using a robust control technique. A new sufficient condition is introduced to cast the stability condition containing the integral term as the sum-of-square conditions. Finally, the effectiveness of the proposed method is validated by simulations.

Original languageEnglish
Article number7778118
Pages (from-to)366-373
Number of pages8
JournalIEEE Transactions on Fuzzy Systems
Volume26
Issue number1
DOIs
Publication statusPublished - 2018 Feb 1

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Feedback Stabilization
Lyapunov-Krasovskii Functional
Polynomial Systems
Output Feedback
Fuzzy systems
Fuzzy Systems
Stabilization
Polynomials
Exponential Stabilization
Feedback
Norm-bounded Uncertainties
Fuzzy Function
Polynomial
Sum of squares
Lyapunov functions
Robust control
Fuzzy control
Fuzzy Control
Robust Control
Stability Condition

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Computational Theory and Mathematics
  • Artificial Intelligence
  • Applied Mathematics

Cite this

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A Fuzzy Lyapunov-Krasovskii Functional Approach to Sampled-Data Output-Feedback Stabilization of Polynomial Fuzzy Systems. / Kim, Han Sol; Park, Jin Bae; Joo, Young Hoon.

In: IEEE Transactions on Fuzzy Systems, Vol. 26, No. 1, 7778118, 01.02.2018, p. 366-373.

Research output: Contribution to journalArticle

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