Skip to main content

Main Metaheuristics Used for the Optimization of the Control of the Complex Systems

  • Chapter
  • First Online:
Computational Intelligence and Optimization Methods for Control Engineering

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 150))

Abstract

Many optimization problems are usually NP-hard problems which prevent the implementation of exact solution methodologies. This is the reason why engineers prefer to use metaheuristics which are able to produce good solutions in a reasonable computation time. The metaheuristic approaches can be separated into two classes: the local search techniques and the global ones. Among the local search techniques, the taboo search and the simulated annealing are the most known. A possible acceleration of the convergence can be obtained by using tunneling algorithms. Concerning the global methods, the Genetic or Evolution Algorithms (GA), Ant Colony Optimization (ACO), and the Particle Swarm Optimization (PSO) are the most known.

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 59.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 79.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 79.99
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. Chipperfield, A.J., Daker, N.V., Whidborne, J.F., Fleming, P.J.: Multi-objective robust control using evolutionary algorithms. In: IEEE International Conference on Industrial Technology, pp. 269–274. Shangai, China (1996)

    Google Scholar 

  2. Chipperfield, A.J., Fleming, P.J.: Multi-objective gas turbine engine controller design using genetic algorithms. IEEE Trans. Ind. Electron. 43(5), 583–587 (1996)

    Article  Google Scholar 

  3. Istepanian, R.S., Whidborne, J.F.: Multi-objective design of finite word-length controller structure. In: Proceedings of Congress on Evolutionary Computation, pp. 61–68. Washington DC, USA (1999)

    Google Scholar 

  4. Tan, K.C., Lee, T.H., Khor, E.F., Ou, K.: Control system design unification and automation using and incremented multi-objective algorithm. In: Proceedings of 19th IASTED International Conference on Modelling Identification and Control, Innsbruck, Austria (2000)

    Google Scholar 

  5. Durate, N., Ruano, A.E., Fonseco, C., Fleming, P.: Accelerating multi-objective control system design using a neuro-genetic approach. In: Congress on Evolutionary Computation, vol. 1, pp. 392–397. IEEE Service Center, USA (2000)

    Google Scholar 

  6. Ortmann, M., Weber, W.: Multi-criterion optimization of robot trajectories with evolutionary strategies. In: Proceedings of Genetic and Evolutionary Computation Conference, pp. 310–316. San Francisco California, USA (2001)

    Google Scholar 

  7. Stefanoiu, D., Borne, P., Popescu, D., Filip, F.G., El Kamel, A.: Optimization in Engineering Sciences. Wiley, New York (2014)

    Google Scholar 

  8. Stefanoiu, D., Borne, P., Popescu, D., Filip, F.G., El Kamel, A., Stefanoiu, D., Borne, P., Popescu, D., Filip, F.G., El Kamel, A.: Metaheuristics – local methods. In: Stefanoiu, D., Borne, P., Popescu, D., Filip, F.G., El Kamel, A. (eds.) Optimization in Engineering Sciences: Approximate and Metaheuristic Methods (2014). https://doi.org/10.1002/9781118648766.ch1

    MATH  Google Scholar 

  9. Borne, P., Tangour, F.: Metaheuristics for the optimization in planning and scheduling. In: IFAC Proceedings Volumes, vol. 40, Issue 18, pp. 1–7 (2007). ISSN 1474–6670

    Article  Google Scholar 

  10. Stefanoiu, D., Borne, P., Popescu, D., Filip, F.G., El Kamel, A., Stefanoiu, D., Borne, P., Popescu, D., Filip, F.G., El Kamel, A.: Metaheuristics – global methods. In: Stefanoiu, D., Borne, P., Popescu, D., Filip, F.G., El Kamel, A. (eds.) Optimization in Engineering Sciences: Approximate and Metaheuristic Methods (2014). https://doi.org/10.1002/9781118648766.ch2

    MATH  Google Scholar 

  11. Glover, F.: Tabu search, Part I. ORSA J. Comput. 1, 190–206 (1989)

    Article  Google Scholar 

  12. Glover, F.: Tabu search, Part II. ORSA J. Comput. 2, 4–32 (1990)

    Article  Google Scholar 

  13. Oonsivilai, A., Marungsri, B.: Optimal PID tuning for AGC system using adaptive Tabu search. In: Proceedings of the 7th WSEAS International Conference on Power Systems. Beijing, China, September 15–17, 2007 (2007)

    Google Scholar 

  14. Ikonomovska, E., Gjorgjevik, D., Loskovska, S.: Using data mining technique for coefficient tuning of an adaptive Tabu search. In: The International Conference on “Computer as a Tool”. EUROCON, Warsaw, September 9–1, 2007 (2007)

    Google Scholar 

  15. Aytekin, B.: Tabu search algorithm based PID controller tuning for desired system specifications. Int. J. Frankl. Instit. 348(10), 2012–2795 (2011). December

    MathSciNet  MATH  Google Scholar 

  16. Gharbi, A., Benrejeb, M., Borne, P.: A Taboo search optimization of the control law of nonlinear systems with bounded uncertaities. IJCCC 11(2), 158–166 (2016)

    Article  Google Scholar 

  17. Popescu, D., Gharbi, A., Stefanoiu, D., Borne, P.: Process control design for industrial applications. Minimizing the attractor through Tabu, search, pp. 161–171. Wiley, New York (2017)

    Book  Google Scholar 

  18. Kirkpatrick, S., Gelatt, C.D., Vecchi, M.P.: Optimization by simulated annealing. Science 220(4598), 671–680 (1983)

    Article  MathSciNet  Google Scholar 

  19. Gonzalez, F., Fernando, L., Aguilar, F., Rita, Q., Gonzalez, G., Alejandro, A.S.: Adaptive simulated annealing for tuning PID controllers. Gildardo AI Commun. 30(5), 347–362 (2017)

    Google Scholar 

  20. Soni, Y.K., Bhatt, R.: Simulated annealing optimized PID controller design using ISE, IAE, IATE and MSE error criteria. Int. J. Adv. Res. Comput. Eng & Technol. (IJARCET) 2(7) (2013)

    Google Scholar 

  21. Lückehe, D., Kramer, O., Weisensee, M.: Simulated annealing with parameter tuning for wind turbine placement optimization. In: CEUR-WS.org, vol. 1458, pp. E16_CRC20 (2015)

    Google Scholar 

  22. Alsadiq Y.A.: A comprehensive tuning of distillation column composition controllers using simulated annealing algorithm (SA). In: International Conference on Artificial Intelligence, Energy and Manufacturing Engineering (ICAEME’). Kuala Lumpur (Malaysia), June 9–10, 2014 (2014)

    Google Scholar 

  23. Haber, R.E., Haber-Haber, R., del Toro, R.M., José, R.A.: Using simulated annealing for optimal tuning of a PID controller for time-delay systems. an application to a high-performance drilling process. In: International Work-Conference on Artificial Neural Networks, Computational and Ambient Intelligence, pp. 1155–1162. IWANN (2007)

    Google Scholar 

  24. Ota, T., Omatu, S.: Tuning of the PID control gains by GA. In: Proceedings 1996, IEEE Conference on Emerging Technologies and Factory Automation. ETFA (1996)

    Google Scholar 

  25. Thulasi dharan, S., Kavyarasan, K., Bagyaveereswaran, V.: Tuning of PID controller using optimization techniques for a MIMO process. In: IOP Conference Series: Materials Science and Engineering, p. 263 (2017)

    Google Scholar 

  26. Deepa, T., Lakshmi, P.: Comparison of PI controller tuning using GA and PSO for a multivariable experimental four tank system. Int. J. Eng. Technol. (IJET), 5(6), 4660–4671. Dec 2013–Jan 2014

    Google Scholar 

  27. Moness, M., Moustafa, A.M.: Tuning a digital multivariable controller for a lab-scale helicopter system via simulated annealing and evolutionary algorithms. Trans. Inst. Meas. Control. 37(10), 1254–1273 (2014)

    Article  Google Scholar 

  28. Roeva, O., Slavov, T.: PID controller tuning based on metaheuristic algorithms for bioprocess control. Biotechnol. Biotechnol. Equip. 26(5), 3267–3277 (2012)

    Article  Google Scholar 

  29. Jayachitra, A., Vinodha, R.: Genetic algorithm based PID controller tuning approach for continuous stirred tank reactor. Adva. Artif. Intell. 2014, 9 (2014)

    Google Scholar 

  30. Uren, K.R., VanSchoor, G.: Genetic algorithm based PID tuning for optimal power control of a three-shaft Brayton cycle based power conversion unit. IFAC Proc. Vol. 45(3), 685–690 (2012)

    Article  Google Scholar 

  31. Jaen-Cuellar, A.Y., Rene de J. Romero-Troncoso, R., Morales-Velazquez, L.: PID-controller tuning optimization with genetic algorithms in servo systems. Int. J. Adv. Robot. Syst. 10, 324–2013 (2013)

    Article  Google Scholar 

  32. Holland, J.H.: Genetic algorithms and the optimal allocations of trials. SIAM J. Comput. 2, 88–105 (1973)

    Article  MathSciNet  Google Scholar 

  33. Hanifah, R.A., Toha, S.F., Ahmad, S.: PID-ant colony optimization (ACO) control for electric power assist steering systemfor electric vehicle. In: IEEE International Conference on Smart Instrumentation, Measurement and Applications (ICSIMA). (2013)

    Google Scholar 

  34. Nagaraj, B., Murugananth, N.: A comparative study of PID controller tuning using GA, EP, PSO and ACO. International Conference on Communication Control and Computing Technologies (2010)

    Google Scholar 

  35. Chiham, I., Liouane, N., Borne, P.: Tuning PID controller using multiobjective ant colony optimization. Hindawi Publ. Corp. Appl. Comput. Intell. Soft Comput. 2012, Article11 (2012)

    Google Scholar 

  36. Kaliannan, J., Baskaran, A., Dey, N., Ashour, A.S.: Ant colony optimization algorithm based PID controller for LFC of single area power system with non-linearity and boiler dynamics. World J. Model. Simul. 12(1), 3–14 (2016)

    Google Scholar 

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

    Google Scholar 

  38. Kennedy, J., Eberhart, R., Shi, Y.: Swarm Intelligence. Morgan Kaufmann Academic Press (2001)

    Google Scholar 

  39. Eswaran, T., SureshKumar, V.: Particle swarm optimization (PSO)-based tuning technique for PI controller for management of a distributed static synchronous compensator (DSTATCOM) for improved dynamic response and power quality. Journal of Applied Research and Technology 15(2), 173–189 (2017)

    Article  Google Scholar 

  40. Iwan Solihin, M., Fook Tack, L., Leap Kean, M.: Tuning of PID controller using particle swarm optimization (PSO). In: Proceeding of the International Conference on Advanced Science, Engineering and Information, Technology. Malaysia, Jan 14–15, 2011 (2011)

    Google Scholar 

  41. Li, X., Yu, F., Wang, Y.: PSO algorithm based online self-tuning of pid controller. In: International Conference on Computational Intelligence and Security (CIS 2007), Dec 15–19, 2007 (2007)

    Google Scholar 

  42. Freire, H.F., de Moura Oliveira, P.B., Solteiro Pires, E.J., Bessa, M.: Many-objective PSO PID controller tuning. In: Proceedings of the 11th Portuguese Conference on Automatic Control, pp 183–192. CONTROLO’2014 (2014)

    Google Scholar 

  43. Vincent, A.K., Nersisson, R.: Particle swarm optimization based PID controller tuning for level control of two tank system. In: 14th ICSET-2017 IOP Conference Series: Materials Science and Engineering, p. 263 (2017)

    Article  Google Scholar 

  44. Choquet, G.: Theory of capacities. Annales de l’Institut Fourier 5, 131–295 (1953)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Amira Gharbi .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Borne, P., Gharbi, A. (2019). Main Metaheuristics Used for the Optimization of the Control of the Complex Systems. In: Blondin, M., Pardalos, P., Sanchis Sáez, J. (eds) Computational Intelligence and Optimization Methods for Control Engineering. Springer Optimization and Its Applications, vol 150. Springer, Cham. https://doi.org/10.1007/978-3-030-25446-9_2

Download citation

Publish with us

Policies and ethics