Volume 9, no. 3Pages 55 - 67

Interval Explosion Search Algorithm and Its Application to Hypersonic Aircraft Modelling and Motion Optimization Problems

A.V. Panteleev, V.N. Panovskiy, T.I. Korotkova
This work considers hypersonic aircraft open-loop control problem in a presence of terminal and phase constraints. By the discretization process this problem is transformed into a nonlinear programming problem which is solved numerically by the interval explosion search algorithm. This algorithm belongs to metaheuristic algorithms of interval global optimization. Desired control is constructed in a class of interval piecewise-constant and piecewise-linear functions. Also this work demonstrates the comparison of results obtained by the proposed method and by Galerkin projection technique. This comparison confirms the efficiency of the interval based control algorithm.
Full text
interval analysis; interval explosion search; optimization; optimal control; hypersonic aircraft.
1. Panteleev A.V. Metody optimizatsii [Optimization Methods]. Moscow, Logos, 2011.
2. Panteleev A.V. Metody global'noy optimizatsii. Metaevristicheskie strategii i algoritmy [Methods of Global Optimization. Metaheuristic Strategies and Algorithms]. Moscow, Vuzovskaya kniga, 2013.
3. Panteleev A.V. Primenenie evolyutsionnykh metodov global'noy optimizatsii v zadachakh optimal'nogo upravleniya determinirovannymi sistemami [Application of Evolutional Methods of Global Optimization to Optimal Determined Systems Control Problems]. Moscow, Izd-vo MAI, 2013.
4. Gurman B.I. [Evolution and Prospects of Approximate Methods of Optimal Control]. Program Systems: Theory and Applications, 2001, no. 2 (6), pp. 11-29.
5. Fedorenko R.P. Priblizhennoe reshenie zadach optimal'nogo upravleniya [Approximate Solution of Optimal Control Problems]. Moscow, Nauka, 1978.
6. Shary S.P. Konechnomernyy interval'nyy analiz [Finite-Dimensional Interval Analysis]. Novosibirsk, XYZ, 2010.
7. Hansen E. Global Optimization Using Interval Analysis. N.Y., Marcel Dekker, 2004.
8. Jaulin L. Applied Interval Analysis. London: Springer, 2001. DOI: 10.1007/978-1-4471-0249-6
9. Moore R.E. Interval Analysis. Englewood Cliffs, Prentice Hall, 1966.
10. Moore R.E. Methods and Applications of Interval Analysis. Philadelphia, SIAM, 1979. DOI: 10.1137/1.9781611970906
11. Ratschek H. New Computer Methods for Global Optimization. Chichester, Horwood, 1988.
12. Shary S.P. A Surprising Approach in Interval Global Optimization. Reliable Computing, 2001, no. 7, pp. 497-505.
13. Shary S.P. Randomized Algorithms in Interval Global Optimization. Numerical Analysis and Applications, 2008, no. 1, pp. 376-389.
14. Panovskiy V.N. [Interval Genetic Algorithm of Global Constrained Optimization]. Uspekhi sovremennoy radioelektroniki [Achievements of Modern Radioelectronics], 2014, no. 4, pp. 71-75.
15. Panovskiy V.N. Prikladnoe primenenie interval'nogo metoda vzryvov [Application of Interval Explosion Search]. Trudy MAI [MAI Proceedings], 2014, no. 73, 21 p.
16. Panteleev A.V. Teoriya upravleniya v primerakh i zadachakh [Control Theory in Examples and Problems]. Moscow, Vysshaya shkola, 2003.
17. Singh B. Optimal Guidance of Hypersonic Vehicles Using B-Splines and Galerkin Projection. Guidance Navigation and Control Conference and Exhibit, 2008, no. AIAA-2008-7263.