4.8 Article

How to Vary the Input Space of a T-S Fuzzy Model: A TP Model Transformation-Based Approach

Journal

IEEE TRANSACTIONS ON FUZZY SYSTEMS
Volume 30, Issue 2, Pages 345-356

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2020.3038488

Keywords

Fuzzy sets; Computational modeling; Complexity theory; Optimization; Control design; Transforms; Shape; PDC control design; TS fuzzy model; TP model transformation

Funding

  1. Thematic Excellence Program -Institutional Excellence Subprogram -Digital Industrial Technologies Research at Szechenyi Istvan University [TKP2020-IKA-10]

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This article explores the continuous development of the tensor product model transformation in the past 15 years. It focuses on manipulating the parameters and components of the Takagi-Sugeno fuzzy model to achieve complexity reduction and control optimization. The proposed extension introduces a new way to change the number of inputs and the nonlinearity relationship, enhancing the modeling power of the TP model transformation.
The motivation behind 15 years of continuous development within the topic of the tensor product (TP) model transformation is that the greater the number of parameters or components of the Takagi-Sugeno (T-S) fuzzy model one can manipulate, the larger complexity reduction or control optimization one can achieve. This article proposes a radically new type of extension to the TP model transformation. While earlier variants of the TP model transformation focused on how the antecedent-consequent fuzzy set system of a given T-S fuzzy model could be varied, this article, in contrast, focuses on how the number of inputs to a given T-S fuzzy model can be manipulated. The proposed extension is capable of changing the number of inputs or transforming the nonlinearity between the fuzzy rules and the input dimensions. These new features considerably increase the modeling power of the TP model transformation, allowing for further complexity reduction and more powerful control optimization to be achieved. This article provides two examples to show how the proposed extension can be used in a routine-like fashion.

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