Modeling of Coupled-Tank System Using Fuzzy Takagi-Sugeno Model

• Main Author: Aries Subiantoro
• Format: Article
• Language: English
• Published: Universitas Indonesia 2010-10-01
• Series: Makara Journal of Technology
• Subjects: system modeling, fuzzy takagi-sugeno, fuzzy clustering, coupled-tank
• Online Access: http://journal.ui.ac.id/technology/journal/article/view/108

This paper describes modeling of coupled tank system based on data measurement using fuzzy Takagi-Sugeno model. The fuzzy clustering method of Gustafson-Kessel algorithm is used to classify input-output data into several clusters based on distance similarity of a member of input-output data from center of cluster. The formed clusters are projected orthonormally into each linguistic variables of premise part to determine membership function of fuzzy Takagi-Sugeno model. By estimating data in each cluster, the consequent parameters of fuzzy Takagi-Sugeno model are calculated using weighted least-squares method. The resulted fuzzy Takagi-Sugeno model is validated by using model performance parameters variance-accounted-for (VAF) and root mean square (RMS) as performance indicators. The simulation results show that the fuzzy Takagi-Sugeno model is able to mimic nonlinear characteristic of coupled-tank system with good value of model performance indicators.<br>