Abstract
The parameter identification problem can be formalized as a multi-dimensional optimization problem, where an objective function is established minimizing the error between the estimated and measured data. In this article, a master–slave model (MSM)-based parallel chaos optimization algorithm (PCOA) (denoted as MSM-PCOA) is proposed for parameter identification problems. The MSM-PCOA is a novel global optimization algorithm, where twice carrier wave chaos search is employed as the master model, while the migration and crossover operation are used as the slave model. The MSM-PCOA is applied to the parameter identification of two different complex systems: bidirectional inductive power transfer system and chaotic systems. Simulation results, compared with other optimization algorithms, show that MSM-PCOA has better parameter identification performance.
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Quaranta, G., Monti, G., Marano, G.C.: Parameters identification of Van der Pol–Duffing oscillators via particle swarm optimization and differential evolution. Mech. Syst. Signal Process. 24(7), 2076–2095 (2010)
Tavakolpour, A.R., Darus, I.Z.M., Tokhi, O., Mailah, M.: Genetic algorithm-based identification of transfer function parameters for a rectangular flexible plate system. Eng. Appl. Artif. Intell. 23(8), 1388–1397 (2010)
He, Q., Wang, L., Liu, B.: Parameter estimation for chaotic systems by particle swarm optimization. Chaos Solitons Fractals 34(2), 654–661 (2007)
Modares, H., Alfi, A., Fateh, M.M.: Parameter identification of chaotic dynamic systems through an improved particle swarm optimization. Expert Syst. Appl. 37(5), 3714–3720 (2010)
Yuan, L.G., Yang, Q.G., Zeng, C.B.: Chaos detection and parameter identification in fractional-order chaotic systems with delay. Nonlinear Dyn. 73(1–2), 439–448 (2013)
Ho, W.H., Chou, J.H., Guo, C.Y.: Parameter identification of chaotic systems using improved differential evolution algorithm. Nonlinear Dyn. 61(1–2), 29–41 (2010)
Lin, J., Chen, C.: Parameter estimation of chaotic systems by an oppositional seeker optimization algorithm. Nonlinear Dyn. 76(1), 509–517 (2014)
Zhu, Q., Yuan, X.F., Wang, H.: An improved chaos optimization algorithm-based parameter identification of synchronous generator. Electr. Eng. 94(3), 147–153 (2012)
Yuan, X.F., Li, S.T., Wang, Y.N., Sun, W., Wu, L.H.: Parameter identification of electronic throttle using a hybrid optimization algorithm. Nonlinear Dyn. 63(4), 549–557 (2011)
Ahn, C.K.: \(L_{2}\)–\(L_{\infty }\) nonlinear system identification via recurrent neural networks. Nonlinear Dyn. 62(3), 543–552 (2010)
Ahn, C.K.: Takagi–Sugeno fuzzy Hopfield neural networks for \(H_{\infty }\) nonlinear system identification. Neural Process. Lett. 34(1), 59–70 (2011)
Kerschen, G., Worden, K., Vakakis, A.F., Golinval, J.C.: Past, present and future of nonlinear system identification in structural dynamics. Mech. Syst. Signal Process. 20(3), 505–592 (2006)
Yang, D.X., Li, G., Cheng, G.D.: On the efficiency of chaos optimization algorithms for global optimization. Chaos Solitons Fractals 34(4), 1366–1375 (2007)
Yuan, X.F., Wang, Y.N.: Parameter selection of support vector machine for function approximation based on chaos optimization. J. Syst. Eng. Electron. 19(1), 191–197 (2008)
Tavazoei, M.S., Haeri, M.: Comparison of different one-dimensional maps as chaotic search pattern in chaos optimization algorithms. Appl. Math. Comput. 187(2), 1076–1085 (2007)
Hamaizia, T., Lozi, R., Hamri, N.E.: Fast chaotic optimization algorithm based on locally averaged strategy and multifold chaotic attractor. Appl. Math. Comput. 219(1), 188–196 (2012)
Okamoto, T., Hirata, H.: Global optimization using a multipoint type quasi-chaotic optimization method. Appl. Soft Comput. 13(2), 1247–1264 (2013)
Yang, D.X., Liu, Z.J., Zhou, J.L.: Chaos optimization algorithms based on chaotic maps with different probability distribution and search speed for global optimization. Commun. Nonlinear Sci. Numer. Simul. 19(4), 1229–1246 (2014)
Yang, Y.M., Wang, Y.N., Yuan, X.F., Yin, F.: Hybrid chaos optimization algorithm with artificial emotion. Appl. Math. Comput. 218(11), 6585–6611 (2012)
Yuan, X.F., Yang, Y.M., Wang, H.: Improved parallel chaos optimization algorithm. Appl. Math. Comput. 219(8), 3590–3599 (2012)
Yuan, X.F., Zhao, J.Y., Yang, Y.M., Wang, Y.N.: Hybrid parallel chaos optimization algorithm with harmony search algorithm. Appl. Soft Comput. 17, 12–22 (2014)
Dehuri, S., Ghosh, A., Mall, R.: Parallel multi-objective genetic algorithm for classification rule mining. IETE J Res. 53(5), 475–483 (2007)
Asouti, V.G., Giannakoglou, K.C.: Aerodynamic optimization using a parallel asynchronous evolutionary algorithm controlled by strongly interacting demes. Eng. Optim. 41(3), 241–257 (2009)
Parsopoulos, K.E.: Parallel cooperative micro-particle swarm optimization: a master-slave model. Appl. Soft Comput. 12(11), 3552–3579 (2012)
Farmahini-Farahani, A., Vakili, S., Fakhraie, S.M., Safari, S., Lucas, C.: Parallel scalable hardware implementation of asynchronous discrete particle swarm optimization. Eng. Appl. Artif. Intell. 23(2), 177–187 (2010)
Baykasoglu, A.: Design optimization with chaos embedded great deluge algorithm. Appl. Soft Comput. 12(3), 1055–1067 (2012)
Hung, Y.F., Chen, W.C.: A heterogeneous cooperative parallel search of branch-and-bound method and tabu search algorithm. J. Global Optim. 51(1), 133–148 (2011)
Madawala, U.K., Thrimawithana, D.J.: A bidirectional inductive power interface for electric vehicles in V2G systems. IEEE Trans. Ind. Electron. 58(10), 4789–4796 (2011)
Swain, A.K., Neath, M.J., Madawala, U.K., Thrimawithana, D.J.: A dynamic multivariable state-space model for bidirectional inductive power transfer systems. IEEE Trans. Power Electron. 27(1), 4772–4780 (2012)
Yuan, X.F., Xiang, Y.Z., Wang, Y., Yan, X.G.: Parameter identification of bidirectional IPT system using chaotic asexual reproduction optimization. Nonlinear Dyn. 78(3), 2113–2127 (2014)
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This work was supported in part by the National Natural Science Foundation of China (No. 61573133, No. 61203309) and Hunan Provincial Natural Science Foundation of China (No. 2015JJ3053).
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Yuan, X., Zhang, T., Dai, X. et al. Master–slave model-based parallel chaos optimization algorithm for parameter identification problems. Nonlinear Dyn 83, 1727–1741 (2016). https://doi.org/10.1007/s11071-015-2443-0
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DOI: https://doi.org/10.1007/s11071-015-2443-0