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Local nonquadratic stabilization of T-S fuzzy systems via improved slack-variable-free relaxation technique under a limited operating region

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Abstract
This paper aims to investigate the problem of local nonquadratic stabilization and disturbance attenuation for Takagi?Sugeno (T?S) fuzzy systems under the limited operating region of premise variables. To derive less conservative local stabilization conditions, this paper first proposes a parameterized linear matrix inequality (PLMI) formulation method that enables both the nonquadratic Lyapunov function and the non-parallel distributed compensation control scheme. Specifically, in the PLMI formulation process, the time derivatives of fuzzy basis functions are addressed without any boundary assumptions and by avoiding excessive use of inequality constraints and slack variables. Moreover, an effective relaxation technique is proposed to obtain a finite set of LMIs from PLMIs in a less conservative way without extra slack variables. Finally, three examples are provided to illustrate the effectiveness of the proposed method.
Issued Date
2023
Sung Hyun Kim
Type
Article
Keyword
Local stabilizationNon-PDC control lawNonquadratic Lyapunov functionInput saturationRelaxation techniqueDomain of attraction
DOI
10.1007/s11071-023-08490-y
URI
https://oak.ulsan.ac.kr/handle/2021.oak/17341
Publisher
NONLINEAR DYNAMICS
Language
영어
ISSN
0924-090X
Citation Volume
111
Citation Number
13
Citation Start Page
12233
Citation End Page
12251
Appears in Collections:
Engineering > IT Convergence
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