Abstract
Modeling of Coupled-Tank System Using Fuzzy Takagi-Sugeno Model. This paper describes modeling of coupledtank 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.
Bahasa Abstract
Makalah ini membahas pemodelan sistem tangki terhubung berbasiskan data masukan-keluaran dengan menggunakan model fuzzy Takagi-Sugeno. Algoritma fuzzy clustering Gustafson-Kessel digunakan untuk mengelompokkan data masukan-keluaran menjadi beberapa cluster berdasarkan kesamaan jarak suatu anggota data masukan-keluaran dari titik tengah suatu cluster. Cluster-cluster yang terbentuk diproyeksikan orthonormal ke setiap ruang variabel linguistik bagian premis untuk mendapatkan fungsi keanggotaan model fuzzy Takagi-Sugeno. Parameter konsekuen dari model fuzzy Takagi-Sugeno diperoleh dengan mengestimasi data setiap cluster dengan menggunakan metode weighted leastsquares. Hasil model fuzzy Takagi-Sugeno yang diperoleh divalidasi dengan indikator kinerja variance-accounted-for (VAF) dan root mean square (RMS). Hasil uji simulasi menunjukkan model fuzzy Takagi-Sugeno sanggup meniru karakteristik nonlinier sistem tangki terhubung dengan nilai indikator kinerja model yang baik.
References
- R. Babuska, Fuzzy Modeling for Control, Kluwer Academic Publisher, Boston, 1998.
- M. Sugeno, T. Yasukawa, IEEE Trans. on Fuzzy Systems 1 (1993) 7.
- R. Babuska, H. Verbruggen, Proceeding European Control Conference, Rome, Italy, 1995, p. 1207.
- K.J. Astrom, B. Wittenmark, Adaptive Control, Addison-Wesley, New York, 1989.
- K. Narendra, J. Balakrishnan, M. Ciliz, IEEE Trans. on Control Systems, 15 (1995) 37.
- L. Ljung, System Identification: Theory for the User, Prentice Hall, New Jersey, 1987.
- D. Gustafson, W. Kessel, Proceeding IEEE CDC, San Diego, USA, 1979, p. 761.
Recommended Citation
Subiantoro, Aries
(2006)
"Modeling of Coupled-Tank System Using Fuzzy Takagi-Sugeno Model,"
Makara Journal of Technology: Vol. 10:
Iss.
1, Article 5.
DOI: 10.7454/mst.v10i1.402
Available at:
https://scholarhub.ui.ac.id/mjt/vol10/iss1/5
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