IEICE TRANSACTIONS on Fundamentals
Solutions of Takagi-Sugeno Fuzzy-Model-Based Dynamic Equations via Orthogonal Functions
Summary :
The orthogonal function approach is developed in this paper to solve the Takagi-Sugeno (TS) fuzzy-model-based dynamic equations. The new method simplifies the procedure of solving the TS-fuzzy-model-based dynamic equations into the successive solution of a system of recursive formulae only involving matrix algebra. Based on the presented recursive formulae, an algorithm only involving straightforward algebraic computation is also proposed in this paper. The computational complexity can therefore be reduced remarkably. An illustrated example shows that the proposed method based on the orthogonal functions can obtain satisfactory results.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E87-A No.12 pp.3439-3442
- Publication Date
- 2004/12/01
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- LETTER
- Category
- Systems and Control
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Wen-Hsien HO, Jyh-Horng CHOU, "Solutions of Takagi-Sugeno Fuzzy-Model-Based Dynamic Equations via Orthogonal Functions" in IEICE TRANSACTIONS on Fundamentals,
vol. E87-A, no. 12, pp. 3439-3442, December 2004, doi: .
Abstract: The orthogonal function approach is developed in this paper to solve the Takagi-Sugeno (TS) fuzzy-model-based dynamic equations. The new method simplifies the procedure of solving the TS-fuzzy-model-based dynamic equations into the successive solution of a system of recursive formulae only involving matrix algebra. Based on the presented recursive formulae, an algorithm only involving straightforward algebraic computation is also proposed in this paper. The computational complexity can therefore be reduced remarkably. An illustrated example shows that the proposed method based on the orthogonal functions can obtain satisfactory results.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e87-a_12_3439/_p
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@ARTICLE{e87-a_12_3439,
author={Wen-Hsien HO, Jyh-Horng CHOU, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Solutions of Takagi-Sugeno Fuzzy-Model-Based Dynamic Equations via Orthogonal Functions},
year={2004},
volume={E87-A},
number={12},
pages={3439-3442},
abstract={The orthogonal function approach is developed in this paper to solve the Takagi-Sugeno (TS) fuzzy-model-based dynamic equations. The new method simplifies the procedure of solving the TS-fuzzy-model-based dynamic equations into the successive solution of a system of recursive formulae only involving matrix algebra. Based on the presented recursive formulae, an algorithm only involving straightforward algebraic computation is also proposed in this paper. The computational complexity can therefore be reduced remarkably. An illustrated example shows that the proposed method based on the orthogonal functions can obtain satisfactory results.},
keywords={},
doi={},
ISSN={},
month={December},}
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TY - JOUR
TI - Solutions of Takagi-Sugeno Fuzzy-Model-Based Dynamic Equations via Orthogonal Functions
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 3439
EP - 3442
AU - Wen-Hsien HO
AU - Jyh-Horng CHOU
PY - 2004
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E87-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 2004
AB - The orthogonal function approach is developed in this paper to solve the Takagi-Sugeno (TS) fuzzy-model-based dynamic equations. The new method simplifies the procedure of solving the TS-fuzzy-model-based dynamic equations into the successive solution of a system of recursive formulae only involving matrix algebra. Based on the presented recursive formulae, an algorithm only involving straightforward algebraic computation is also proposed in this paper. The computational complexity can therefore be reduced remarkably. An illustrated example shows that the proposed method based on the orthogonal functions can obtain satisfactory results.
ER -
English
