@inproceedings{77e2c239edfb4387b6ab71d05cf316b1,
title = "Generalized stabilizing controllers for fuzzy systems via Circle criterion - LMI and SOS",
abstract = "We investigate a generalized control problem via the Circle criterion borrowed from system theory; the generalized controller can be cast into existing canonical controllers depending on parameterizations. We first show a fuzzy version of the Circle criterion and then provide a synthesis result based on the Circle criterion, establishing closed-loop stabilizability for state-feedback controllers. In this paper, we show how to incorporating the membership information by approximating the cone of copos-itive matrices via SOS that is solvable by SOSTOOLS. Finally the validity and applicability of the approach are illuminated by examples.",
keywords = "Circle criterion, Exact solutions, Linear matrix inequality (LMI), Stabilizing controllers, Sum of Squares (SOS), TS fuzzy models",
author = "Lo, {Ji Chang} and Lin, {You Ting} and Liao, {Wei Cheng}",
year = "2011",
doi = "10.1109/FUZZY.2011.6007329",
language = "???core.languages.en_GB???",
isbn = "9781424473175",
series = "IEEE International Conference on Fuzzy Systems",
pages = "1294--1298",
booktitle = "FUZZ 2011 - 2011 IEEE International Conference on Fuzzy Systems - Proceedings",
note = "2011 IEEE International Conference on Fuzzy Systems, FUZZ 2011 ; Conference date: 27-06-2011 Through 30-06-2011",
}