2002
DOI: 10.1109/41.993277
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SVD-based complexity reduction to TS fuzzy models

Abstract: Abstract-One of the typical important criteria to be considered in real-time control applications is the computational complexity of the controllers, observers, and models applied. In this paper, a singular value decomposition (SVD)-based complexity reduction technique is proposed for Takagi Sugeno (TS) fuzzy models. The main motivation is that the TS fuzzy model has exponentially growing computational complexity with the improvement of its approximation property through, as usually practiced, increasing the d… Show more

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Cited by 53 publications
(26 citation statements)
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“…For further detailed investigation of TS fuzzy models and closely related concepts see [1]- [10] and [30]. A TS model consists of a number of local linear models assigned to fuzzy regions, which are designed to approximate the dynamic features at the corresponding operating fuzzy points in vector space .…”
Section: Ts Model Approximationmentioning
confidence: 99%
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“…For further detailed investigation of TS fuzzy models and closely related concepts see [1]- [10] and [30]. A TS model consists of a number of local linear models assigned to fuzzy regions, which are designed to approximate the dynamic features at the corresponding operating fuzzy points in vector space .…”
Section: Ts Model Approximationmentioning
confidence: 99%
“…Presumably, the SVD technique in this paper and in [12] and [13] can be replaced by other orthogonal techniques investigated by Yen and Wang in [11]. An extension of [11] to multidimensional cases may also be conducted in a similar fashion as the higher order SVD reduction technique proposed in [10], [12], and [13] and in this paper. Further developments of SVD-based fuzzy reduction [12], [13] are proposed in [10], [17], [18], and [38].…”
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confidence: 99%
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