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A Levy Interior Search Algorithm for Chaotic System Identification

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Mendel 2015 (ICSC-MENDEL 2016)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 378))

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Abstract

In this paper, an improved interior search algorithm (ISA) is designed by incorporating \(L\acute{e}vy\) flight for solving optimisation problems. \(L\acute{e}vy\) flight pattern seen in some birds, is a special type of movement along a straight line followed by sudden turns in random directions. The convergence rate of ISA is improved using the principles of \(L\acute{e}vy\) flight in the proposed levy interior search algorithm (LISA). LISA is validated against a set of benchmark optimisation problems to demonstrate its performance. Further, LISA is used for parameter identification of an integer order Rossler’s chaotic system. Simulation results show that LISA outperforms other well-known existing optimisation algorithms like particle swarm optimisation (PSO), ISA and cuckoo search algorithm (CSA).

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References

  1. Bhargava, V., Fateen, S.E.K., Bonilla-Petriciolet, A.: Cuckoo search: a new nature-inspired optimization method for phase equilibrium calculations. Fluid Phase Equilib. 337, 191–200 (2013)

    Article  Google Scholar 

  2. Dorigo, M., Gambardella, L.M.: Ant colony system:a cooperative learning approach to the traveling salesman problem. IEEE Trans. Evol. Comput. 1(1), 53–66 (1997)

    Article  Google Scholar 

  3. Gandomi, A., Roke, D.: Engineering optimization using interior search algorithm. In: 2014 IEEE Symposium on Swarm Intelligence (SIS), pp. 1–7 (Dec 2014)

    Google Scholar 

  4. Gandomi, A.H.: Interior search algorithm (ISA): a novel approach for global optimization. ISA Trans. 53(4), 1168–1183 (2014)

    Article  Google Scholar 

  5. Geem, Z.W., Kim, J.H., Loganathan, G.: A new heuristic optimization algorithm: Harmony search. Simulation 76(2), 60–68 (2001)

    Article  Google Scholar 

  6. Goldberg, D.E.: Genetic Algorithms. Pearson Education India (2006)

    Google Scholar 

  7. Karaboga, D., Basturk, B.: A powerful and efficient algorithm for numerical function optimization: artificial bee colony (ABC) algorithm. J. Glob. Optim. 39(3), 459–471 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  8. Kennedy, J., Eberhart, R.: Particle swarm optimization. In: IEEE International Conference on Neural Networks, vol. 4, pp. 1942–1948 (Nov 1995)

    Google Scholar 

  9. Patwardhan, A.P., Patidar, R., George, N.V.: On a cuckoo search optimization approach towards feedback system identification. Digit. Sig. Proc. 32, 156–163 (2014)

    Article  Google Scholar 

  10. Storn, R., Price, K.: Differential evolution-a simple and efficient heuristic for global optimization over continuous spaces. J. Glob. Optim. 11(4), 341–359 (1997)

    Article  MATH  MathSciNet  Google Scholar 

  11. Wong, P.K., Wong, K.I., Vong, C.M., Cheung, C.S.: Modeling and optimization of biodiesel engine performance using kernel-based extreme learning machine and cuckoo search. Renewable Energy 74, 640–647 (2015)

    Article  Google Scholar 

  12. Yang, X.S., Deb, S.: Cuckoo search via Lévy flights. In: Proceedings of IEEE World Congress on Nature and Biologically Inspired Computing, pp. 210–214 (2009)

    Google Scholar 

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Acknowledgments

This work was supported by the Department of Science and Technology, Government of India under the INSPIRE Faculty Award Scheme (IFA-13 ENG-45).

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Correspondence to Nithin V. George .

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Jariwala, R., Patidar, R., George, N.V. (2015). A Levy Interior Search Algorithm for Chaotic System Identification. In: Matoušek, R. (eds) Mendel 2015. ICSC-MENDEL 2016. Advances in Intelligent Systems and Computing, vol 378. Springer, Cham. https://doi.org/10.1007/978-3-319-19824-8_11

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  • DOI: https://doi.org/10.1007/978-3-319-19824-8_11

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-19823-1

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