Chaotic invasive weed optimization algorithm with application to parameter estimation of chaotic systems

Abstract This paper introduces a novel hybrid optimization algorithm by taking advantage of the stochastic properties of chaotic search and the invasive weed optimization (IWO) method. In order to deal with the weaknesses associated with the conventional method, the proposed chaotic invasive weed optimization (CIWO) algorithm is presented which incorporates the capabilities of chaotic search methods. The functionality of the proposed optimization algorithm is investigated through several benchmark multi-dimensional functions. Furthermore, an identification technique for chaotic systems based on the CIWO algorithm is outlined and validated by several examples. The results established upon the proposed scheme are also supplemented which demonstrate superior performance with respect to other conventional methods.

[1]  Caro Lucas,et al.  A novel numerical optimization algorithm inspired from weed colonization , 2006, Ecol. Informatics.

[2]  Sheng Wanxing,et al.  Study of chaos genetic algorithms and its application in neural networks , 2002, 2002 IEEE Region 10 Conference on Computers, Communications, Control and Power Engineering. TENCOM '02. Proceedings..

[3]  Aghil Yousefi-Koma,et al.  A novel technique for optimal placement of piezoelectric actuators on smart structures , 2011, J. Frankl. Inst..

[4]  Ma Long-hua,et al.  A new optimization algorithm based on chaos , 2006 .

[5]  W. Chang Parameter identification of Rossler’s chaotic system by an evolutionary algorithm , 2006 .

[6]  O. Rössler An equation for continuous chaos , 1976 .

[7]  Krishnamurthy Murali,et al.  Observation of many bifurcation sequences in a driven piecewise-linear circuit , 1990 .

[8]  Ling Wang,et al.  An Effective PSO-Based Hybrid Algorithm for Multiobjective Permutation Flow Shop Scheduling , 2008, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[9]  Dietmar Saupe,et al.  Chaos and fractals - new frontiers of science , 1992 .

[10]  M. Komuro Birth and death of the double scroll , 1985, IEEE Conference on Decision and Control.

[11]  Marco Dorigo,et al.  Ant colony optimization , 2006, IEEE Computational Intelligence Magazine.

[12]  Sunan Wang,et al.  A novel immune evolutionary algorithm incorporating chaos optimization , 2006, Pattern Recognit. Lett..

[13]  Kazuyuki Aihara,et al.  A novel chaotic search for quadratic assignment problems , 2002, Eur. J. Oper. Res..

[14]  Yushun Fan,et al.  A chaos search immune algorithm with its application to neuro-fuzzy controller design , 2006 .

[15]  O. Rössler An equation for hyperchaos , 1979 .

[16]  Ilya V. Sysoev,et al.  Identification of chaotic systems with hidden variables (modified Bock’s algorithm) , 2006 .

[17]  Kwok-Wo Wong,et al.  An improved particle swarm optimization algorithm combined with piecewise linear chaotic map , 2007, Appl. Math. Comput..

[18]  A.A. Kishk,et al.  Invasive Weed Optimization and its Features in Electromagnetics , 2010, IEEE Transactions on Antennas and Propagation.

[19]  B. Alatas,et al.  Chaos embedded particle swarm optimization algorithms , 2009 .

[20]  Jun-Juh Yan,et al.  Parameter identification of chaotic systems using evolutionary programming approach , 2008, Expert Syst. Appl..

[21]  Hui Qin,et al.  Comparison of different chaotic maps in particle swarm optimization algorithm for long-term cascaded hydroelectric system scheduling , 2009 .

[22]  E. Lorenz Deterministic nonperiodic flow , 1963 .

[23]  Li-Ren Huang,et al.  Chaotic bee swarm optimization algorithm for path planning of mobile robots , 2009 .

[24]  W. Jatmiko,et al.  A pso-based mobile robot for odor source localization in dynamic advection-diffusion with obstacles environment: theory, simulation and measurement , 2007, IEEE Computational Intelligence Magazine.

[25]  Wang Sun-an,et al.  A novel immune evolutionary algorithm incorporating chaos optimization , 2006 .

[26]  Jin Xu,et al.  Application of a novel IWO to the design of encoding sequences for DNA computing , 2009, Comput. Math. Appl..

[27]  M. Hénon,et al.  A two-dimensional mapping with a strange attractor , 1976 .

[28]  Bo Peng,et al.  Differential evolution algorithm-based parameter estimation for chaotic systems , 2009 .

[29]  Yinggan Tang,et al.  Parameter estimation for time-delay chaotic system by particle swarm optimization , 2009 .

[30]  Jing J. Liang,et al.  Problem Deflnitions and Evaluation Criteria for the CEC 2006 Special Session on Constrained Real-Parameter Optimization , 2006 .

[31]  Leandro dos Santos Coelho,et al.  Particle swarm approaches using Lozi map chaotic sequences to fuzzy modelling of an experimental thermal-vacuum system , 2008, Appl. Soft Comput..

[32]  Thomas Stützle,et al.  Ant colony optimization: artificial ants as a computational intelligence technique , 2006 .

[33]  Xiaogang Wu,et al.  Parameter estimation only from the symbolic sequences generated by chaos system , 2004 .

[34]  Ponnuthurai Nagaratnam Suganthan,et al.  Problem Definitions and Evaluation Criteria for the CEC 2014 Special Session and Competition on Single Objective Real-Parameter Numerical Optimization , 2014 .

[35]  Chuntian Cheng,et al.  Optimizing Hydropower Reservoir Operation Using Hybrid Genetic Algorithm and Chaos , 2008 .

[36]  Ganesh K. Venayagamoorthy,et al.  Bio-inspired Algorithms for Autonomous Deployment and Localization of Sensor Nodes , 2010, IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews).

[37]  Rong Zhang,et al.  Parameters identification and adaptive full state hybrid projective synchronization of chaotic (hyper-chaotic) systems , 2007 .

[38]  Manuel López-Ibáñez,et al.  Ant colony optimization , 2010, GECCO '10.

[39]  Jinhu Lu,et al.  Parameters identification and synchronization of chaotic systems based upon adaptive control , 2002 .

[40]  Ye Xu,et al.  Parameter identification of chaotic systems by hybrid Nelder-Mead simplex search and differential evolution algorithm , 2011, Expert Syst. Appl..

[41]  Shing-Tai Pan,et al.  Identification of Chaotic Systems by Neural Network with Hybrid Learning Algorithm , 2008, IMECS.

[42]  Fang Liu,et al.  A chaos algorithm based on progressive optimality and tabu search algorithm , 2005, 2005 International Conference on Machine Learning and Cybernetics.

[43]  Hamidreza Modares,et al.  Parameter identification of chaotic dynamic systems through an improved particle swarm optimization , 2010, Expert Syst. Appl..

[44]  Jun Sun,et al.  Parameter estimation for chaotic systems with a Drift Particle Swarm Optimization method , 2010 .

[45]  Amir H.D. Markazi,et al.  Chaos prediction and control in MEMS resonators , 2010 .