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2007 | 27 | 1 | 165-193
Tytuł artykułu

Evolution of structure for direct control optimization

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EN
Abstrakty
EN
The paper presents the Monotone Structural Evolution, a direct computational method of optimal control. Its distinctive feature is that the decision space undergoes gradual evolution in the course of optimization, with changing the control parameterization and the number of decision variables. These structural changes are based on an analysis of discrepancy between the current approximation of an optimal solution and the Maximum Principle conditions. Two particular implementations, with spike and flat generations are described in detail and illustrated with computational examples.
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Twórcy
  • AGH University of Science and Technology, 30-059 Kraków, Poland
  • AGH University of Science and Technology, 30-059 Kraków, Poland
Bibliografia
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  • [16] H.R. Sirisena, A gradient method for computing optimal bang-bang control, International Journal of Control 19 (1974), 257-264.
  • [17] B. Srinivasan, S. Palanki and D. Bonvin, Dynamic optimization of batch processes, I. Characterization of the nominal solution, Computers and Chemical Engineering 27 (1) (2003), 1-26.
  • [18] O. von Stryk, User's guide for DIRCOL - a direct collocation method for the numerical solution of optimal control problems, Ver. 2.1, Technical University of Munich 1999.
  • [19] M. Szymkat, A. Korytowski and A. Turnau, Computation of time optimal controls by gradient matching, Proc. 1999 IEEE CACSD, Kohala Coast, Hawai'i, August 22-27 (1999), 363-368.
  • [20] M. Szymkat, A. Korytowski and A. Turnau, Variable control parameterization for time-optimal problems, Proc. 8th IFAC CACSD 2000, Salford, U.K., September 11-13, 2000, T4A.
  • [21] M. Szymkat, A. Korytowski and A. Turnau, Extended variable parameterization method for optimal control, Proc. IEEE CCA/CCASD 2002, Glasgow, Scotland, September 18-20, 2002.
  • [22] M. Szymkat and A. Korytowski, Method of monotone structural evolution for control and state constrained optimal control problems, European Control Conference ECC 2003, University of Cambridge, U.K., September 1-4, 2003.
  • [23] J. Wen and A.A. Desrochers, An algorithm for obtaining bang-bang control laws, Journal of Dynamic Systems, Measurement, and Control 109 (1987), 171-175.
Typ dokumentu
Bibliografia
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Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1082
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