The use of simulated annealing method for optimization of fractional order PID controller

• Autorzy: Mikulski S.
• Języki publikacji: EN

Abstrakty

EN

The paper describes method of parameters selection for control system with fractional order PI^λD^μ controller steering second order oscillated object. As a selection algorithm was used simulated annealing optimization method with random variant of cooling strategy. As a target function for optimization was selected Integral Squared Error (ISE).

Słowa kluczowe

EN

fractional order controller; optimization; fractional calculus; simulated annealing

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Computer Applications in Electrical Engineering
• Rocznik: 2015
• Tom: Vol. 13
• Strony: 178--187
• Opis fizyczny: Bibliogr. 10 poz., rys., tab.

Twórcy

autor

Mikulski S.

• Poznań University of Technology 60-965 Poznań, ul. Piotrowo 3a

Bibliografia

• [1] Cerny V., Thermodynamical approach to the traveling salesman problem: An efficient simulation algorithm, Journal of Optimization Theory and Applications Vol. 45, January 1985, pp. 41-51.
• [2] Kikpatrick S., Gelatt Jr C. D., Vecchi M. P., Optimization by simulated annealing, Science Vol. 220 No. 4598, May 1983, pp. 671-680.
• [3] Trojanowski K., Metaheurystyki praktycznie, Wydawnictwo WIT, Warszawa 2005.
• [4] Tepljakov A., Petlenkov E., Belikov J., Finajev J., Fractional-order controller design and digital implementation using FOMCON toolbox for MATLAB, Proc. of the 2013 IEEE Multi-Conference on Systems and Control conference, 2013, pp. 340–345.
• [5] Metropolis N., Rosenbluth A. W., Rosenbluth M. N., Teller A., Teller E., Wuation of state calculation by fast computing machines, Journal of Chmical Physics Vol. 21, 1953, pp. 1087-1091.
• [6] Kaczorek T., Wybrane zagadnienia teorii układów niecałkowitego rzędu, Oficyna Wydawnicza Politechniki Białostockiej, Białystok 2009.
• [7] Oustaloup, A., Moreau, X., Nouillant, M., The CRONE suspension, Control Engineering Practice, Vol. 4 No.8, 1993, pp. 1101–1108.
• [8] Podlubny I., Fractional Differential Equations, Academic Press, San Diego, 1999.
• [9] Vinagre B. M., Podlubny I., Hernandez A., Feliu V., Some approximations of fractional order operator used in control theory and applications.
• [10] Chi Ch., Gao F., Simulating fractional derivatives using Matlab, Journal of Software Vol. 8 No. 3, March 2013, pp. 572 – 578.