학술논문

Modified Gath-Geva fuzzy clustering for identification of Takagi-Sugeno fuzzy models
Document Type
Periodical
Source
IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics) IEEE Trans. Syst., Man, Cybern. B Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on. 32(5):612-621 Oct, 2002
Subject
Signal Processing and Analysis
Communication, Networking and Broadcast Technologies
Components, Circuits, Devices and Systems
Computing and Processing
General Topics for Engineers
Robotics and Control Systems
Power, Energy and Industry Applications
Takagi-Sugeno model
Fuzzy sets
Fuzzy systems
Optimization methods
Clustering algorithms
Partitioning algorithms
Input variables
Multidimensional systems
Predictive models
Nonlinear systems
Language
ISSN
1083-4419
1941-0492
Abstract
The construction of interpretable Takagi-Sugeno (TS) fuzzy models by means of clustering is addressed. First, it is shown how the antecedent fuzzy sets and the corresponding consequent parameters of the TS model can be derived from clusters obtained by the Gath-Geva (GG) algorithm. To preserve the partitioning of the antecedent space, linearly transformed input variables can be used in the model. This may, however, complicate the interpretation of the rules. To form an easily interpretable model that does not use the transformed input variables, a new clustering algorithm is proposed, based on the expectation-maximization (EM) identification of Gaussian mixture models. This new technique is applied to two well-known benchmark problems: the MPG (miles per gallon) prediction and a simulated second-order nonlinear process. The obtained results are compared with results from the literature.