Skip to main content

Harmony Search with Dynamic Adaptation of Parameters for the Optimization of a Benchmark Controller

  • Chapter
  • First Online:
Intuitionistic and Type-2 Fuzzy Logic Enhancements in Neural and Optimization Algorithms: Theory and Applications

Part of the book series: Studies in Computational Intelligence ((SCI,volume 862))

Abstract

A fuzzy harmony search algorithm (FHS) is presented in this paper. This method uses a fuzzy system for dynamic adaptation of the harmony memory accepting (HMR) and pitch adjustment (PArate) parameters along the iterations, and in this way achieving control of the intensification and diversification of the search space. This method was previously applied to various benchmark controller cases however in this case we decided to apply the proposed FHS to benchmark controller problem with different types of noise: band-limited white noise, pulse noise, and uniform random number noise to check the efficiency for the pro-posed method. A comparison is presented to verify the results obtained with the original harmony search algorithm and fuzzy harmony search algorithm.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 189.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 249.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 249.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

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

    Article  Google Scholar 

  2. Kar, P., Swain, S.C.: A Harmony Search-Firefly Algorithm Based Controller for Damping Power Oscillations, pp. 351–355 (2016)

    Google Scholar 

  3. Zadeh, L.A.: Fuzzy logic. Computer 21(4), 83–93 (1988)

    Article  Google Scholar 

  4. Zadeh, L.A.: The concept of a linguistic variable and its application to approximate reasoning—I. Inf. Sci. 8(3), 199–249 (1975)

    Article  MathSciNet  Google Scholar 

  5. Zadeh, L.A.: Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets Syst. 100, 9–34 (1999)

    Article  Google Scholar 

  6. Castillo, O., Valdez, F., Soria, J., Amador-Angulo, L., Ochoa, P., Peraza, C.: Comparative study in fuzzy controller optimization using bee colony, differential evolution, and harmony search algorithms. Algorithms 12(1), 9 (2018)

    Article  Google Scholar 

  7. Ochoa, P., Castillo, O., Soria, J.: A new approach for dynamic mutation parameter in the differential evolution algorithm using fuzzy logic. In: Melin, P., Castillo, O., Kacprzyk, J., Reformat, M., Melek, W. (eds.) Fuzzy Logic in Intelligent System Design, vol. 648, pp. 85–93. Springer, Cham (2018)

    Chapter  Google Scholar 

  8. Bernal, E., Castillo, O., Soria, J., Valdez, F.: Optimization of fuzzy controller using galactic swarm optimization with type-2 fuzzy dynamic parameter adjustment. Axioms 8(1), 26 (2019)

    Article  Google Scholar 

  9. Barraza, J., Rodríguez, L., Castillo, O., Melin, P., Valdez, F.: A new hybridization approach between the fireworks algorithm and grey wolf optimizer algorithm. J. Optim. 2018, 1–18 (2018)

    MathSciNet  MATH  Google Scholar 

  10. Rodríguez, L., Castillo, O., García, M., Soria, J.: A comparative study of dynamic adaptation of parameters in the GWO algorithm using type-1 and interval type-2 fuzzy logic. In: Castillo, O., Melin, P., Kacprzyk, J. (eds.) Fuzzy Logic Augmentation of Neural and Optimization Algorithms: Theoretical Aspects and Real Applications, vol. 749, pp. 3–16. Springer, Cham (2018)

    Google Scholar 

  11. Al-Betar, M.A., Awadallah, M.A., Khader, A.T., Bolaji, A.L., Almomani, A.: Economic load dispatch problems with valve-point loading using natural updated harmony search. Neural Comput. Appl. 29(10), 767–781 (2018)

    Article  Google Scholar 

  12. Alia, O.M.: Dynamic relocation of mobile base station in wireless sensor networks using a cluster-based harmony search algorithm. Inf. Sci. 385–386, 76–95 (2017)

    Article  Google Scholar 

  13. Brinda, M.D., Suresh, A., Rashmi, M.R.: Optimal sizing and distribution system reconfiguration of hybrid FC/WT/PV system using cluster computing based on harmony search algorithm. Clust, Comput (2018)

    Google Scholar 

  14. Chao, F., Zhou, D., Lin, C.-M., Zhou, C., Shi, M., Lin, D.: Fuzzy cerebellar model articulation controller network optimization via self-adaptive global best harmony search algorithm. Soft. Comput. 22(10), 3141–3153 (2018)

    Article  Google Scholar 

  15. Peraza, C., Valdez, F., Castillo, O.: Interval type-2 fuzzy logic for dynamic parameter adaptation in the Harmony search algorithm, pp. 106–112 (2016)

    Google Scholar 

  16. Peraza, C., Valdez, F., Garcia, M., Melin, P., Castillo, O.: A new fuzzy harmony search algorithm using fuzzy logic for dynamic parameter adaptation. Algorithms 9(4), 69 (2016)

    Article  MathSciNet  Google Scholar 

  17. Peraza, C., Valdez, F., Castillo, O.: An adaptive fuzzy control based on harmony search and its application to optimization. In: Melin, P., Castillo, O., Kacprzyk, J. (eds.) Nature-Inspired Design of Hybrid Intelligent Systems, vol. 667, pp. 269–283. Springer, Cham (2017)

    Chapter  Google Scholar 

  18. Peraza, C., Valdez, F., Melin, P.: Optimization of intelligent controllers using a type-1 and interval type-2 fuzzy harmony search algorithm. Algorithms 10(3), 82 (2017)

    Article  MathSciNet  Google Scholar 

  19. Peraza, C., Valdez, F., Castro, J.R., Castillo, O.: Fuzzy dynamic parameter adaptation in the harmony search algorithm for the optimization of the ball and beam controller. Adv. Oper. Res. 2018, 1–16 (2018)

    Article  Google Scholar 

  20. Castillo, O., et al.: Shadowed type-2 fuzzy systems for dynamic parameter adaptation in harmony search and differential evolution algorithms. Algorithms 12(1), 17 (2019)

    Article  Google Scholar 

  21. Sanchez, M.A., Castillo, O., Castro, J.R.: Generalized type-2 fuzzy systems for controlling a mobile robot and a performance comparison with interval type-2 and type-1 fuzzy systems. Expert Syst. Appl. 42(14), 5904–5914 (2015)

    Article  Google Scholar 

  22. Melin, P., Castillo, O.: Intelligent control of complex electrochemical systems with a neuro-fuzzy-genetic approach. IEEE Trans. Industr. Electron. 48(5), 951–955 (2001)

    Article  Google Scholar 

  23. Gonzalez, C.I., Melin, P., Castro, J.R., Castillo, O., Mendoza, O.: Optimization of interval type-2 fuzzy systems for image edge detection. Appl. Soft Comput. 47, 631–643 (2016)

    Article  Google Scholar 

  24. Olivas, F., Valdez, F., Castillo, O., Gonzalez, C.I., Martinez, G., Melin, P.: Ant colony optimization with dynamic parameter adaptation based on interval type-2 fuzzy logic systems. Appl. Soft Comput. 53, 74–87 (2017)

    Article  Google Scholar 

  25. Gaxiola, F., Melin, P., Valdez, F., Castro, J.R., Castillo, O.: Optimization of type-2 fuzzy weights in backpropagation learning for neural networks using GAs and PSO. Appl. Soft Comput. 38, 860–871 (2016)

    Article  Google Scholar 

  26. Castillo, O., Castro, J.R., Melin, P., Rodriguez-Diaz, A.: Application of interval type-2 fuzzy neural networks in non-linear identification and time series prediction. Soft. Comput. 18(6), 1213–1224 (2014)

    Article  Google Scholar 

  27. Castro, J.R., Castillo, O., Melin, P., Rodríguez Díaz, A.: Building fuzzy inference systems with a new interval type-2 fuzzy logic toolbox. Trans. Comput. Sci. 1, 104–114 (2008)

    Google Scholar 

Download references

Acknowledgements

We would like to express our thanks to CONACYT and Tijuana Institute of Technology for the facilities and resources granted for the development of this research.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Fevrier Valdez .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Peraza, C., Valdez, F., Castillo, O. (2020). Harmony Search with Dynamic Adaptation of Parameters for the Optimization of a Benchmark Controller. In: Castillo, O., Melin, P., Kacprzyk, J. (eds) Intuitionistic and Type-2 Fuzzy Logic Enhancements in Neural and Optimization Algorithms: Theory and Applications. Studies in Computational Intelligence, vol 862. Springer, Cham. https://doi.org/10.1007/978-3-030-35445-9_14

Download citation

Publish with us

Policies and ethics