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The Chinese Journal of Artificial Intelligence

Editor-in-Chief

ISSN (Print): 2666-7827
ISSN (Online): 2666-7835

Research Article

System Identification of Dampers Using Chaotic Accelerated Particle Swarm Optimization

Author(s): S. Talatahari *, B. Talatahari and M. Tolouei

Volume 1, Issue 1, 2022

Published on: 24 May, 2021

Article ID: e200521193450 Pages: 10

DOI: 10.2174/2666782701666210520124649

Abstract

Aims: Different chaotic APSO-based algorithms are developed to deal with high non-linear optimization problems. Then, considering the difficulty of the problem, an adaptation of these algorithms is presented to enhance the algorithm.

Background: Particle swarm optimization (PSO) is a population-based stochastic optimization technique suitable for global optimization with no need for direct evaluation of gradients. The method mimics the social behavior of flocks of birds and swarms of insects and satisfies the five axioms of swarm intelligence, namely proximity, quality, diverse response, stability, and adaptability. There are some advantages to using the PSO consisting of easy implementation and a smaller number of parameters to be adjusted; however, it is known that the original PSO had difficulties in controlling the balance between exploration and exploitation. In order to improve this character of the PSO, recently, an improved PSO algorithm, called the accelerated PSO (APSO), was proposed, and preliminary studies show that the APSO can perform superiorly.

Objective: This paper presents several chaos-enhanced accelerated particle swarm optimization methods for high non-linear optimization problems.

Methods: Some modifications to the APSO-based algorithms are performed to enhance their performance. Then, the algorithms are employed to find the optimal parameters of the various types of hysteretic Bouc-Wen models. The problems are solved by the standard PSO, APSO, different CAPSO, and adaptive CAPSO, and the results provide the most useful method. The sub-optimization mechanism is added to these methods to enhance the performance of the algorithm.

Results: Seven different chaotic maps have been investigated to tune the main parameter of the APSO. The main advantage of the CAPSO is that there is a fewer number of parameters compared with other PSO variants. In CAPSO, there is only one parameter to be tuned using chaos theory.

Conclusion: To adapt the new algorithm for susceptible parameter identification algorithm, two series of Bouc-Wen model parameters containing standard and modified Bouc-Wen models are used. Performances are assessed on the basis of the best fitness values and the statistical results of the new approaches from 20 runs with different seeds. Simulation results show that the CAPSO method with Gauss/mouse, Liebovitch, Tent, and Sinusoidal maps performs satisfactorily.

Keywords: Accelerated particle swarm optimization algorithm, chaotic maps, metaheuristic methods, parameter identification, Bouc-Wen model, non-linear systems.

Graphical Abstract

[1]
Charalampakis AE, Koumousis VK. Identification of Bouc–Wen hysteretic systems by a hybrid evolutionary algorithm. J Sound Vibrat 2008; 314: 571-85.
[http://dx.doi.org/10.1016/j.jsv.2008.01.018]
[2]
Talatahari S, Kaveh A, Mohajer Rahbari N. Parameter identification of Bouc-Wen Model for MR fluid dampers using adaptive charged system search optimization. J Mech Sci Technol 2012; 26(8): 2523-34.
[http://dx.doi.org/10.1007/s12206-012-0625-y]
[3]
Yar M, Hammond JK. Parameter estimation for hysteretic systems. J Sound Vibrat 1987; 117(1): 161-72.
[http://dx.doi.org/10.1016/0022-460X(87)90442-1]
[4]
Kunnath SK, Mander JB, Fang L. Parameter identification for degrading and pinched hysteretic structural concrete systems. Eng Struct 1997; 19(3): 224-32.
[http://dx.doi.org/10.1016/S0141-0296(96)00058-2]
[5]
Sues RH, Mau ST, Wen Y. System identification of degrading hysteretic restoring forces. J Eng Mech 1988; 114(5): 833-46.
[http://dx.doi.org/10.1061/(ASCE)0733-9399(1988)114:5(833)]
[6]
Zhang H, Foliente GC, Yang Y, Ma F. Parameter identification of inelastic structures under dynamic loads. Earthquake Eng Struct Dynam 2002; 31: 1113-30.
[http://dx.doi.org/10.1002/eqe.151]
[7]
Ni YQ, Ko JM, Wong CW. Identification of non-linear hysteretic isolators from periodic vibration tests. J Sound Vibrat 1998; 217(4): 737-56.
[http://dx.doi.org/10.1006/jsvi.1998.1804]
[8]
Lin J-S, Zhang Y. Nonlinear structural identification using extended Kalman filter. Comput Struc 1994; 52(4): 757-64.
[http://dx.doi.org/10.1016/0045-7949(94)90357-3]
[9]
Kwok NM, Ha QP, Nguyen MT, Li J, Samali B. Bouc-Wen model parameter identification for a MR fluid damper using computationally efficient GA. ISA Trans 2007; 46(2): 167-79.
[http://dx.doi.org/10.1016/j.isatra.2006.08.005] [PMID: 17349644]
[10]
Ha J-L, Kung Y-S, Fung R-F, Hsien S-C. A comparison of fitness functions for the identification of a piezoelectric hysteretic actuator based on the real-coded genetic algorithm. Sens Actuators A Phys 2006; 132: 643-50.
[http://dx.doi.org/10.1016/j.sna.2006.02.022]
[11]
Kyprianou A, Worden K, Panet M. Identification of hysteretic systems using the differential evolution algorithm. J Sound Vibrat 2001; 248(2): 289-314.
[http://dx.doi.org/10.1006/jsvi.2001.3798]
[12]
Ma F, Ng CH, Ajavakom N. On system identification and response prediction of degrading structures. Struct Contr Health Monit 2006; 13: 347-64.
[http://dx.doi.org/10.1002/stc.122]
[13]
Ha J-L, Fung R-F, Yang C-S. Hysteresis identification and dynamic responses of the impact drive mechanism. J Sound Vibrat 2005; 283: 943-56.
[http://dx.doi.org/10.1016/j.jsv.2004.05.032]
[14]
Charalampakis AE, Dimou CK. Identification of Bouc–Wen hysteretic systems using particle swarm optimization. Comput Struc 2010; 88: 1197-205.
[http://dx.doi.org/10.1016/j.compstruc.2010.06.009]
[15]
Talatahari S, Mohajer Rahbari N, Kaveh A. A New hybrid optimization algorithm for recognition of hysteretic non-linear systems. KSCE J Civ Eng 2013; 17(5): 1099-108.
[http://dx.doi.org/10.1007/s12205-013-0341-x]
[16]
Kennedy J, Eberhart RC. Particle swarm optimization. Proceedings of IEEEinternational conference on neural networks IV. Perth Australia. Piscataway,NJ: IEEE Press 1995; pp. 1942-8.
[http://dx.doi.org/10.1109/ICNN.1995.488968]
[17]
Millonas MM. Swarms, phase transitions and collective intelligenceArtificial life. Reading, MA: Addison Wesley 1994; Vol. III: pp. 417-45.
[18]
Clerc M, Kennedy J. The particle swarm – explosion, stability, and convergence in a multidimensional complex space. IEEE Trans Evol Comput 2002; 6(1): 58-73.
[http://dx.doi.org/10.1109/4235.985692]
[19]
Kaveh A, Talatahari S. Particle swarm optimizer, ant colony strategy and harmony search scheme hybridized for optimization of truss structures. Comput Struc 2009; 87(5-6): 267-83.
[http://dx.doi.org/10.1016/j.compstruc.2009.01.003]
[20]
Yang XS. Nature-inspired metaheuristic algorithms. 2nd ed. Luniver Press 2010.
[21]
Talatahari S, Khalili E, Alavizadeh SM. Accelerated particle swarm for optimum design of frame atructures. Mathematical Problems in Engineering 2013; 2013: 6.
[http://dx.doi.org/10.1155/2013/649857]
[22]
Gandomi AH, Yun GJ, Yang X-S, Talatahari S. Chaos-enhanced accelerated particle swarm optimization. Commun Nonlinear Sci Numer Simul 2013; 18: 327-40.
[http://dx.doi.org/10.1016/j.cnsns.2012.07.017]
[23]
Eberhart RC, Shi Y. Comparing inertia weights and constriction factors in particle swarmoptimization. Proceedings of the 2000 Congress on Evolutionary Computation. CEC00 (Cat. No.00TH8512); 2000 July 16-19, La Jolla, CA, USA. IEEE 2020.
[http://dx.doi.org/10.1109/CEC.2000.870279]
[24]
Zhang Z, Ding S, Sun Y. A support vector regression model hybridized with chaotic krill herd algorithm and empirical mode decomposition for regression task. Neurocomputing 2020; 410: 185-201.
[http://dx.doi.org/10.1016/j.neucom.2020.05.075]
[25]
Li M-W, Geng J, Hong W-C, Zhang L-D. Periodogram estimation based on LSSVR-CCPSO compensation for forecasting ship motion. Nonlinear Dyn 2019; 97(4): 2579-94.
[http://dx.doi.org/10.1007/s11071-019-05149-5]
[26]
Spencer BF Jr, Dyke SJ, Sain MK, Carlson D. Phenomenological model of a magnetorheological damper. J Eng Mech 1997; 123(3): 230-8.
[http://dx.doi.org/10.1061/(ASCE)0733-9399(1997)123:3(230)]
[27]
Talatahari S, Mohajer Rabari N. Enriched imperialist competitive algorithm for system identification of magneto-rheological dampers. Mech Syst Signal Process 2015; 62-63: 506-16.
[http://dx.doi.org/10.1016/j.ymssp.2015.03.020]

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