Further improvement of periodic control approach for relaxed stabilization condition of discrete-time Takagi-Sugeno fuzzy systems

Dong Hwan Lee, Jin Bae Park, Young Hoon Joo

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

In this paper, we present a new stabilization condition for discrete-time Takagi-Sugeno (T-S) fuzzy systems. To this end, the previously developed periodic nonparallel distributed compensation (non-PDC) control law is extended to the more general one whose gain matrix has a block lower triangular matrix form. A distinguished feature of the proposed control law is that it uses a discrete-time feedback loop incorporating information from the previous states of the system. The resultant stabilization condition is represented in the form of linear matrix inequalities (LMIs). In addition, we show that the proposed condition includes the existing one based on the periodic control approach as a particular case. Finally, examples are given to show that the proposed condition provides less conservative results than those of the existing ones published in the literature.

Original languageEnglish
Pages (from-to)50-65
Number of pages16
JournalFuzzy Sets and Systems
Volume174
Issue number1
DOIs
Publication statusPublished - 2011 Jul 1

Fingerprint

Takagi-Sugeno Fuzzy Systems
Fuzzy systems
Discrete-time
Stabilization
Lower triangular matrix
Linear matrix inequalities
Feedback Loop
Feedback
Matrix Inequality
Linear Inequalities
Form

All Science Journal Classification (ASJC) codes

  • Artificial Intelligence
  • Logic

Cite this

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Further improvement of periodic control approach for relaxed stabilization condition of discrete-time Takagi-Sugeno fuzzy systems. / Lee, Dong Hwan; Park, Jin Bae; Joo, Young Hoon.

In: Fuzzy Sets and Systems, Vol. 174, No. 1, 01.07.2011, p. 50-65.

Research output: Contribution to journalArticle

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