Numerical stability analysis of fuzzy control systems via quadratic programming and linear matrix inequalities

Euntai Kim; Hyung Jin Kang; Mignon Park

doi:10.1109/3468.769752

Numerical stability analysis of fuzzy control systems via quadratic programming and linear matrix inequalities

Euntai Kim, Hyung Jin Kang, Mignon Park

Department of Electrical and Electronic Engineering

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

Abstract

This paper proposes a numerical stability analysis methodology for the singleton-type linguistic fuzzy control systems based on optimization techniques. First, it demonstrates that a singleton-type linguistic fuzzy logic controller (FLC) can be converted into a region-wise sector-bounded controller or, more generally, a polytopic system by quadratic programming (QP). Next, the convex optimization technique called linear matrix inequalities (LMI) is used to analyze the closed loop of the converted polytopic system. Finally, the applicability of the suggested methodology is highlighted via simulation results.

Original language	English
Pages (from-to)	333-346
Number of pages	14
Journal	IEEE Transactions on Systems, Man, and Cybernetics Part A:Systems and Humans.
Volume	29
Issue number	4
DOIs	https://doi.org/10.1109/3468.769752
Publication status	Published - 1999

All Science Journal Classification (ASJC) codes

Software
Control and Systems Engineering
Human-Computer Interaction
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/3468.769752

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Numerical stability analysis of fuzzy control systems via quadratic programming and linear matrix inequalities

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