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Tuning the Lozi Map in Chaos Driven PSO Inspired by the Multi-chaotic Approach

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Nostradamus 2014: Prediction, Modeling and Analysis of Complex Systems

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 289))

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Abstract

In this paper a previous successful research on chaos enhanced particle swarm optimization algorithm (PSO) is expanded. The possibility of adaptive change of control parameters of chaotic systems that is used as a pseudo-random number generator for the velocity calculation in PSO algorithm is investigated. To evaluate the performance of newly designed algorithm the CEC´ 13 benchmark set was used.

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References

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

    Google Scholar 

  2. Kennedy, J., Eberhart, R.C., Shi, Y.: Swarm Intelligence. Morgan Kaufmann Publishers (2001)

    Google Scholar 

  3. Nickabadi, A., Ebadzadeh, M.M., Safabakhsh, R.: A novel particle swarm optimization algorithm with adaptive inertia weight. Applied Soft Computing 11(4), 3658–3670 (2011)

    Article  Google Scholar 

  4. Yuhui, S., Eberhart, R.: A modified particle swarm optimizer. In: IEEE World Congress on Computational Intelligence, May 4-9, pp. 69–73 (1998)

    Google Scholar 

  5. Caponetto, R., Fortuna, L., Fazzino, S., Xibilia, M.G.: Chaotic sequences to improve the performance of evolutionary algorithms. IEEE Transactions on Evolutionary Computation 7(3), 289–304 (2003)

    Article  Google Scholar 

  6. Araujo, E., Coelho, L.: Particle swarm approaches using Lozi map chaotic sequences to fuzzy modelling of an experimental thermal-vacuum system. Applied Soft Computing 8(4), 1354–1364 (2008)

    Article  Google Scholar 

  7. Alatas, B., Akin, E., Ozer, B.A.: Chaos embedded particle swarm optimization algorithms. Chaos, Solitons & Fractals 40(4), 1715–1734 (2009) ISSN 0960-0779

    Article  MATH  MathSciNet  Google Scholar 

  8. Pluhacek, M., Senkerik, R., Davendra, D., Kominkova Oplatkova, Z., Zelinka, I.: On the behavior and performance of chaos driven PSO algorithm with inertia weight. Computers & Mathematics with Applications 66, 122–134 (2013)

    Article  MathSciNet  Google Scholar 

  9. Pluhacek, M., Senkerik, R., Zelinka, I.: Particle swarm optimization algorithm driven by multichaotic number generator. Soft Comput. 18(4), 631–639 (2014), doi:10.1007/s00500-014-1222-z

    Article  Google Scholar 

  10. Pluhacek, M., Senkerik, R., Davendra, D., Zelinka, I., Designing, P.I.D., Controller For, D.C.: Designing PID Controller For DC Motor System By Means of Enhanced PSO Algorithm with Discrete Chaotic Lozi Map. In: Proceedings of the 26th European Conference on Modelling and Simulation, ECMS 2012, pp. 405–409 (2012) ISBN 978-0-9564944-4-3

    Google Scholar 

  11. Sprott, J.C.: Chaos and Time-Series Analysis. Oxford University Press (2003)

    Google Scholar 

  12. Liang, J.J., Qu, B.-Y., Suganthan, P.N., Hernández-Díaz Alfredo, G.: Problem Definitions and Evaluation Criteria for the CEC 2013 Special Session and Competition on Real-Parameter Optimization. Technical Report 201212, Computational Intelligence Laboratory, Zhengzhou University, Zhengzhou China and Technical Report, Nanyang Technological University, Singapore (January 2013)

    Google Scholar 

  13. Zelinka, I., Senkerik, R., Pluhacek, M.: Do evolutionary algorithms indeed require randomness? In: 2013 IEEE Congress on Evolutionary Computation (CEC), June 20-23, pp. 2283–2289 (2013), doi:10.1109/CEC.2 013.6557841

    Google Scholar 

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Correspondence to Michal Pluhacek .

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Pluhacek, M., Senkerik, R., Zelinka, I., Davendra, D. (2014). Tuning the Lozi Map in Chaos Driven PSO Inspired by the Multi-chaotic Approach. In: Zelinka, I., Suganthan, P., Chen, G., Snasel, V., Abraham, A., Rössler, O. (eds) Nostradamus 2014: Prediction, Modeling and Analysis of Complex Systems. Advances in Intelligent Systems and Computing, vol 289. Springer, Cham. https://doi.org/10.1007/978-3-319-07401-6_8

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  • DOI: https://doi.org/10.1007/978-3-319-07401-6_8

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-07400-9

  • Online ISBN: 978-3-319-07401-6

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