Preview

Civil Aviation High Technologies

Advanced search

APPLICATION OF ITERATIVE DYNAMIC PROGRAMMING TO OPTIMAL FEED-BACK CONTROL PROBLEM

Abstract

This paper presents a generalization of iterative dynamic programming using Luus-Jakola optimization procedure applied to the solution of optimal feed-back control for nonlinear deterministic systems. Iterative dynamic programming is realized. Efficiency of proposed method is tested on the software complex developed by the authors in C++; a model example of chemical process control is presented.

About the Authors

A. V. Panteleev
Московский авиационный институт
Russian Federation


D. A. Rodionova
Московский авиационный институт
Russian Federation


References

1. Luus R., Jaakola T.H.I. Optimization by direct search and systematic reduction of the size of search region. American Institute of Chemical Engineers Journal (AIChE). Vol. 19 (4). 1973. P. 760–766.

2. Luus R. Iterative Dynamic Programming. London, New York, Washington: CRC Press. 2000.

3. Bojkov R., Hansel B., Luus R. Application of direct search optimization to optimal control problems. Hungarian Journal of Industrial Chemistry. Vol. 21. 1993. P. 177–185.

4. Panteleev A.V., Rybakov K.A. Applied probability analysis of nonlinear control systems using spectral method. M.: MAI-PRINT, 2010. 160 p. (in Russian).

5. Panteleev A.V., Metlitskaya D.V., Aleshina E.A. Global optimization methods, Metaheuristic strategies and algorithms. M.: Vuzovskaya kniga, 2013. 244 p. (in Russian).

6. Panteleev A.V. Usage of evolutionary global optimization methods in deterministic systems optimal control problems. M.: MAI publishing house, 2013. 160 p. (in Russian).

7. Panteleev A.V., Metlitskaya D.V. An application of genetic algorithms with binary and real coding for approximate synthesis of suboptimal control in deterministic systems. Avtomatika i telemekhanika. 2011. Vol. 11. Pp. 117–129. (in Russian).

8. Panteleev A.V., Rodionova D.A. An application of the method of random search with a consistent reduction of the field of research for the problems of optimal control of deterministic systems. Izvestiya instituta inzhenernoi fiziki. Vol. 3 (33). 2014. Pp. 17–22. (in Russian).


Review

For citations:


Panteleev A.V., Rodionova D.A. APPLICATION OF ITERATIVE DYNAMIC PROGRAMMING TO OPTIMAL FEED-BACK CONTROL PROBLEM. Civil Aviation High Technologies. 2016;(224):5-13. (In Russ.)

Views: 418


Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


ISSN 2079-0619 (Print)
ISSN 2542-0119 (Online)