2005
DOI: 10.1016/j.fss.2005.05.041
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Abstract: Although fuzzy control was initially introduced as a model-free control design method based on the knowledge of a human operator, current research is almost exclusively devoted to model-based fuzzy control methods that can guarantee stability and robustness of the closed-loop system. State-of-the-art techniques for identifying fuzzy models and designing model-based controllers are reviewed in this article. Attention is also paid to the role of fuzzy systems in higher levels of the control hierarchy, such as ex… Show more

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Cited by 361 publications
(144 citation statements)
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“…where f l 1←···←pμ is a rank-1 tensor (i.e., the memberships of an ordinary TS system arranged as a vector, suitably ordered) so (45) may be written as (25), i.e., (7). Hence, LMIs for such conditions can be applied, such as Theorem 1 (details are omitted for brevity).…”
Section: Will Be Denoted As Rank-p Tensor Product Pdc Controller (F Imentioning
confidence: 99%
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“…where f l 1←···←pμ is a rank-1 tensor (i.e., the memberships of an ordinary TS system arranged as a vector, suitably ordered) so (45) may be written as (25), i.e., (7). Hence, LMIs for such conditions can be applied, such as Theorem 1 (details are omitted for brevity).…”
Section: Will Be Denoted As Rank-p Tensor Product Pdc Controller (F Imentioning
confidence: 99%
“…The following definition extends the usual matrix product along p shared dimensions 7 . The notation U ·V (or UV ) will be used to represent the product with shared index of rank 1, i.e., UV = U ·V = U · 1 V (if U and V are rank-2 tensors, UV is the usual matrix product).…”
Section: Definition 5 (Outer Tensor Productmentioning
confidence: 99%
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“…Based on the T-S fuzzy model, a fuzzy controller is proposed to close the feedback loop which forms a fuzzy-model-based (FMB) control system for feedback control [6]. Since then, the T-S FMB control systems have drawn the attention of fuzzy control researchers for more than 20 years due to its effectiveness on handling nonlinear control systems [7,8]. In particular, the issues of stability analysis and control synthesis have been investigated extensively and fruitful results can be found in [2,[9][10][11][12][13][14][15][16][17][18][19] and the references therein.…”
Section: Introductionmentioning
confidence: 99%
“…
AbstractIn 2015, we celebrate the 50th anniversary of Fuzzy Sets, ten years after the main milestones regarding its applications in fuzzy control in their 40th birthday were reviewed in FSS, see [1]. Ten years is at the same time a long period and short time thinking to the inner dynamics of research.
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mentioning
confidence: 99%