A new hybrid optimization algorithm for recognition of hysteretic non-linear systems

In this article, a new two-stage hybrid optimization method based on the Particle Swarm Optimization and the Big Bang-Big Crunch algorithm (BB-BC) is introduced for identification of highly non-linear systems. In this hybrid algorithm, the term of the center of mass from the BB-BC algorithm is incorporated into the standard particle swarm optimizer to markedly improve its searching abilities. In order to investigate the effectiveness of the newly formed optimization algorithm in identification of non-linear and hysteretic systems, it is utilized to optimally find the Bouc-Wen model’s parameters for a sample MR damper in which the damper’s force is related to its piston’s motion through a non-linear differential equation. The obtained results indicate that the proposed optimization method is highly robust and accurate and can be utilized successfully in such intricate non-linear identification problems.

[1]  Lawrence J. Fogel,et al.  Artificial Intelligence through Simulated Evolution , 1966 .

[2]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[3]  Kenneth Alan De Jong,et al.  An analysis of the behavior of a class of genetic adaptive systems. , 1975 .

[4]  Y. Wen Method for Random Vibration of Hysteretic Systems , 1976 .

[5]  F. Glover HEURISTICS FOR INTEGER PROGRAMMING USING SURROGATE CONSTRAINTS , 1977 .

[6]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[7]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[8]  John R. Koza,et al.  Genetic programming: a paradigm for genetically breeding populations of computer programs to solve problems , 1990 .

[9]  Greg Foliente,et al.  Hysteresis Modeling of Wood Joints and Structural Systems , 1995 .

[10]  Russell C. Eberhart,et al.  A new optimizer using particle swarm theory , 1995, MHS'95. Proceedings of the Sixth International Symposium on Micro Machine and Human Science.

[11]  Marco Dorigo,et al.  Ant system: optimization by a colony of cooperating agents , 1996, IEEE Trans. Syst. Man Cybern. Part B.

[12]  Shirley J. Dyke,et al.  Phenomenological Model of a Magnetorheological Damper , 1996 .

[13]  Shirley J. Dyke,et al.  PHENOMENOLOGICAL MODEL FOR MAGNETORHEOLOGICAL DAMPERS , 1997 .

[14]  John B. Mander,et al.  Parameter identification for degrading and pinched hysteretic structural concrete systems , 1997 .

[15]  Yi-Qing Ni,et al.  IDENTIFICATION OF NON-LINEAR HYSTERETIC ISOLATORS FROM PERIODIC VIBRATION TESTS , 1998 .

[16]  San-Shyan Lin,et al.  Use of Bouc-Wen Model for Seismic Analysis of Concrete Piles , 2002 .

[17]  Ibrahim Eksin,et al.  A new optimization method: Big Bang-Big Crunch , 2006, Adv. Eng. Softw..

[18]  Caro Lucas,et al.  Imperialist competitive algorithm: An algorithm for optimization inspired by imperialistic competition , 2007, 2007 IEEE Congress on Evolutionary Computation.

[19]  Siamak Talatahari,et al.  Ant Colony Optimization for Design of Space Trusses , 2008 .

[20]  Siamak Talatahari,et al.  Particle swarm optimizer, ant colony strategy and harmony search scheme hybridized for optimization of truss structures , 2009 .

[21]  A. Kaveh,et al.  Size optimization of space trusses using Big Bang-Big Crunch algorithm , 2009 .

[22]  C. K. Dimou,et al.  Identification of Bouc-Wen hysteretic systems using particle swarm optimization , 2010 .

[23]  A. Kaveh,et al.  A novel heuristic optimization method: charged system search , 2010 .

[24]  B. Farahmand Azar,et al.  SEISMIC MITIGATION OF TALL BUILDINGS USING MAGNETORHEOLOGICAL DAMPERS , 2011 .

[25]  Xudong Zhu,et al.  Parametric Identification of Bouc-Wen Model and Its Application in Mild Steel Damper Modeling , 2011 .

[26]  Amir Hossein Gandomi,et al.  Cuckoo search algorithm: a metaheuristic approach to solve structural optimization problems , 2011, Engineering with Computers.

[27]  A. Gandomi,et al.  Mixed variable structural optimization using Firefly Algorithm , 2011 .

[28]  Amir Hossein Alavi,et al.  Krill herd: A new bio-inspired optimization algorithm , 2012 .

[29]  A. Kaveh,et al.  Charged system search for optimal design of frame structures , 2012, Appl. Soft Comput..

[30]  Xin-She Yang,et al.  Bat algorithm: a novel approach for global engineering optimization , 2012, 1211.6663.

[31]  B. Farahmand Azar,et al.  Semi‐active direct control method for seismic alleviation of structures using MR dampers , 2013 .