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Li, Lixiang; Yang, Yixian; Peng, Haipeng

Fuzzy system identification via chaotic ant swarm. (English) Zbl 1198.90419

Chaos Solitons Fractals 41, No. 1, 401-409 (2009).
Summary: We introduce a chaotic optimization method, called CAS (chaotic ant swarm), to solve the problem of designing a fuzzy system to identify dynamical systems. The position vector of each ant in the CAS algorithm corresponds to the parameter vector of the selected fuzzy system. At each learning time step, the CAS algorithm is iterated to give the optimal parameters of fuzzy systems based on the fitness theory. Then the corresponding CAS-designed fuzzy system is built and applied to the identification of the unknown nonlinear dynamical systems. Numerical simulation results are provided to show the effectiveness and feasibility of the developed CAS-designed fuzzy system.
Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.

Cited in 5 Documents

MSC:

90C70 Fuzzy and other nonstochastic uncertainty mathematical programming
90C59 Approximation methods and heuristics in mathematical programming
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\textit{L. Li} et al., Chaos Solitons Fractals 41, No. 1, 401--409 (2009; Zbl 1198.90419)
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References:

[1] Tseng, C.-S., Robust fuzzy filter design for a class of nonlinear stochastic systems, IEEE Trans Fuzzy Syst, 15, 2, 261-274 (2007)
[2] Lee, W.-K.; Hyun, C.-H.; Lee, H.; Kim, E.; Park, M., Model reference adaptive synchronization of T-S fuzzy discrete chaotic systems using output tracking control, Chaos, Solitons & Fractals, 34, 5, 1590-1598 (2007) · Zbl 1152.93416
[3] Kilic, K.; Sproule, B. A.; Türksen, I. B.; Naranjo, C. A., A fuzzy system modeling algorithm for data analysis and approximate reasoning, Robot Auton Syst, 49, 173-180 (2004)
[4] Jarrah, O. A.; Halawani, A., Recognization of gestures in Arabic sign language using neuro-fuzzy systems, Artif Intell, 133, 117-138 (2001) · Zbl 0984.68129
[5] Griesbach, J. D.; Lightner, M. R.; Etter, D. M., Constituent subband allocation for system modeling nonuniform subband adaptive filters, IEEE Trans Signal Process, 53, 539-549 (2005) · Zbl 1370.94135
[6] Hyun, C.-H.; Kim, J.-H.; Kim, E.; Park, M., Adaptive fuzzy observer based synchronization design and secure communications of chaotic systems, Chaos, Solitons & Fractals, 27, 4, 930-940 (2006) · Zbl 1091.93018
[7] Chen, J. Q.; Xi, Y. G.; Zhang, Z. J., A clustering algorithm for fuzzy model identification, Fuzzy Sets Syst, 98, 319-329 (1998)
[8] Wang, L. X., Fuzzy systems are universal approximators, IEEE Int Conf Fuzzy Syst, March, 1163-1170 (1992)
[9] Wang, L. X.; Mendel, J. M., Back-propagation fuzzy system as nonlinear dynamic system identifiers, IEEE Int Conf Fuzzy Syst, March, 1409-1418 (1992)
[10] Li, L. X.; Yang, Y. X.; Peng, H. P.; Wang, X. D., Parameters identification of chaotic systems via chaotic ant swarm, Chaos, Solitons & Fractals, 28, 5, 1204-1211 (2006) · Zbl 1121.90426
[11] Hayakawa, Y.; Marumoto, A.; Sawada, Y., Effects of the chaotic noise on the performance of a neural network model for optimization problems, Phys Rev E, 51, 2693-2696 (1995)
[12] Li, L. X.; Yang, Y. X.; Peng, H. P.; Wang, X. D., An optimization method inspired by “chaotic” ant behavior, Int J Bifurc Chaos, 16, 8, 2351-2364 (2006) · Zbl 1192.90251
[13] Cai, J. J.; Ma, X. Q.; Li, L. X.; Yang, Y. X.; Peng, H. P.; Wang, X. D., Chaotic ant swarm optimization to economic dispatch, Electric Power Syst Res, 77, 10, 1373-1380 (2007)
[14] Barreto, G. A.; Araujo, A. F., Identification and control of dynamical systems using the self-organizing map, IEEE Trans Neural Networks, 15, 1244-1259 (2004)
[15] Egusa, Y.; Akahori, H.; Morimura, A.; Wakami, N., An application of fuzzy set theory for an electronic video camera image stabilizer, IEEE Trans Fuzzy Syst, 3, 351-356 (1995)
[16] Wang, L. X.; Mendel, J. M., A fuzzy basis functions, universal approximation, and orthogonal least-squares learning, IEEE Trans Neural Networks, 3, 807-814 (1992)
[17] Simon, D., Training fuzzy systems with the extended Kalman filter, Fuzzy Sets Syst, 132, 189-199 (2002) · Zbl 1010.93522
[18] Feng, G., A survey on analysis and design of model-based fuzzy control systems, IEEE Trans Fuzzy Syst, 14, 5, 676-697 (2006)
[19] Liu, X., Passivity analysis of uncertain fuzzy delayed systems, Chaos, Solitons & Fractals, 34, 3, 833-838 (2007) · Zbl 1129.93030
[20] Lien, C., Stabilization for uncertain Takagi-Sugeno fuzzy systems with time-varying delays and bounded uncertainties, Chaos, Solitons & Fractals, 32, 2, 645-652 (2007) · Zbl 1142.93024
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