Analytical Approach to Analysis of Extremal Trajectories and Stability of Programmed Motion

D M Azimov; Азимов Дильмурат Мухамаджанович; R G Mukharlyamov; Мухарлямов Роберт Гарабшевич

Analytical Approach to Analysis of Extremal Trajectories and Stability of Programmed Motion

Authors: Azimov DM¹, Mukharlyamov RG²
Affiliations:
1. University of Hawaii at Manoa
2. Peoples’ Friendship University of Russia
Issue: No 4 (2012)
Pages: 87-95
Section: Articles
URL: https://journals.rudn.ru/miph/article/view/8829

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Abstract

Analytical approach to analysis of optimal trajectories of a rocket and method of determining control actions for stable programmed motion are considered. It is shown that the analytical trajectory solutions can be used to test the existence of conjugate points on extremals. Control laws that can provide stable motion are discussed.

Keywords

variation problem, autonomous space guidance, rocket, La-grange multipliers, Riccati equation, Jacobi condition, conjugate points, stable motion, programmed motion, control

About the authors

D M Azimov

University of Hawaii at Manoa

Email: azimov@hawaii.edu
Department of Mechanical Engineering

R G Mukharlyamov

Peoples’ Friendship University of Russia

Email: robgar@mail.ru
Department of Theoretical Mechanics

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Vol 32, No 4 (2024)

Analytical Approach to Analysis of Extremal Trajectories and Stability of Programmed Motion

Full Text

Abstract

Keywords

About the authors

D M Azimov

R G Mukharlyamov

References

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