Open AccessThe minimum total heating lander
Author(s) -
Mai Thi Dang
Publication year - 2015
Publication title -
journal of computer science and cybernetics (vietnam academy of science and technology)/journal of computer science and cybernetics
Language(s) - English
Resource type - Journals
eISSN - 2815-5939
pISSN - 1813-9663
DOI - 10.15625/1813-9663/31/4/4317
Subject(s) - maxima and minima , total energy , thermal , continuation , pontryagin's minimum principle , constraint (computer aided design) , mathematics , perturbation (astronomy) , matlab , maximum principle , boundary value problem , moment (physics) , control theory (sociology) , mathematical optimization , computer science , mathematical analysis , physics , meteorology , optimal control , classical mechanics , geometry , psychology , control (management) , quantum mechanics , artificial intelligence , displacement (psychology) , psychotherapist , programming language , operating system
The article will research a lander flying into the atmosphere with flow velocity constraint, i.e. the total load by means of minimizing the total thermal energy at the end of the landing process. The lander’s distance at the last moment depends on the variables selected from the total thermal energy minima. To deal with the problem, the Pontryagin maximum principle and scheme Dubovitskij Milutin will be applied. Boundary value problems are solved by the introduction and continuation of the perturbation parameters and solutions for the selected parameter. The results of simulations are performed on Matlab.