Multirate digital control for fuzzy systems: LMI-based design and stability analysis

Do Wan Kim, Jin Bae Park, Young Hoon Joo, Sung Ho Kim

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

This paper studies an intelligent digital control for nonlinear systems with multirate sampling. It is worth noting that the multirate control design is addressed for a given nonlinear system represented by Takagi-Sugeno (T-S) fuzzy models. The main features of the proposed method are that i) it is provided that the sufficient conditions for stabilization of the discrete-time T-S fuzzy system in the sense of Lyapunov stability criterion, which is can be formulated in the linear matrix inequalities (LMIs); and ii) the stability properties of the trivial solution of the digital control system can be deduced from that of the solution of its discretized versions. An example is provided for showing the feasibility of the proposed method.

Original languageEnglish
Pages (from-to)506-515
Number of pages10
JournalInternational Journal of Control, Automation and Systems
Volume4
Issue number4
Publication statusPublished - 2006 Aug 1

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Fuzzy systems
Linear matrix inequalities
Nonlinear systems
Digital control systems
Stability criteria
Stabilization
Sampling

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Computer Science Applications

Cite this

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Multirate digital control for fuzzy systems : LMI-based design and stability analysis. / Kim, Do Wan; Park, Jin Bae; Joo, Young Hoon; Kim, Sung Ho.

In: International Journal of Control, Automation and Systems, Vol. 4, No. 4, 01.08.2006, p. 506-515.

Research output: Contribution to journalArticle

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