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7 Conclusion
In this chapter, we have considered only the clustering based procedures for the
identi
cation of PWARX systems. We focused on the most challenging step which
is the task of data points classi
cation. In fact, we have proposed the use of two
clustering techniques which are the Chiu
s clustering algorithm and the DBSCAN
algorithm. These algorithms present several advantages. Firstly, they do not require
any initialization so the problem of convergence towards local minima is overcome.
Secondly, these algorithms are able to remove the outliers from the data set. Finally,
our approaches generate automatically the number of sub-models. Numerical
simulation results are presented to demonstrate the performance of the proposed
approaches and to compare them with the k-means one. Also, an experimental
validation with an olive oil reactor is presented to illustrate the ef
'
ciency of the
developed methods.
References
Bako, L. (2011). Identi cation of switched linear systems via sparse optimization. Automatica, 47
(4), 668 - 677.
Bako, L., & Lecoeuche, S. (2013). A sparse optimization approach to state observer design for
switched linear systems. Systems and Control Letters, 62(2), 143 - 151.
Bemporad, A., Ferrari-Trecate, G., & Morari, M. (2000). Observability and controllability of
piecewise affine and hybrid systems. IEEE Transactions on Automatic Control, 45(10),
1864
1876.
Bemporad, A., Garulli, A., Paoletti, S., & Vicino, A. (2003). A greedy approach to identification of
piecewise affine models. In Hybrid systems: Computation and control (pp. 97
-
112). New
-
York: Springer.
Bemporad, A., Garulli, A., Paoletti, S., & Vicino, A. (2005). A bounded-error approach to
piecewise affine system identification. IEEE Transactions on Automatic Control, 50(10),
1567
1580.
Boukharouba, K. (2011). Mod
-
lisation et classi cation de comportements dynamiques des
systemes hybrides. Ph.D. thesis, Universit
é
de Lille, France.
Chaitali, C. (2012). Optimizing clustering technique based on partitioning DBSCAN and ant
clustering algorithm. International Journal of Engineering and Advanced Technology (IJEAT),
2(2), 212 - 215.
Chiu, S. (1994). Fuzzy model identi cation based on cluster estimation. Journal of Intelligent and
Fuzzy Systems, 2(3), 267 - 278.
Chiu, S. (1997). Extracting fuzzy rules from data for function approximation and pattern
classi cation. In D. Dubois, et al. (Eds.), Chapter 9 in fuzzy information engineering: A guided
tour of applications. New York: Wiley.
De Schutter, B., & De Moor, B. (1999). The extended linear complementarity problem and the
modeling and analysis of hybrid systems. In Hybrid systems V (pp. 70
é
85). New York:
-
Springer.
De Schutter, B., & Van den Boom, T. (2000). On model predictive control for max-min-plus-
scaling discrete event systems. Technical report, bds 00-04: Control Systems Engineering,
Faculty of Information Technology and Systems, Delft University of Technology, The
Netherlands.
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