Synthesis of Optimal Control Strategy by Damping a Vibration of Earth Flexible Satellite with a Gravity-Gradient Stabilization with Information Constraints
- Paper number
IAC-07-C1.1.09
- Author
Dr. Mikhail Khrustalev, Moscow Aviation Institute (MAI), Russia
- Coauthor
Mr. Dmitriy Rumjancev, Moscow Aviation Institute (MAI), Russia
- Year
2007
- Abstract
The synthesis control strategy problem for damping vibration concerning gravity center of a flexible satellite with a gravity-gradient stabilization is investigated. The satellite has a circular or almost circular orbit. An interconnection between rotary and forward movement is ignored. Gravitational field is central. Minor flexible deformations are presented as series of natural mode not of single flexible elements, but of whole satellite [1].
It is supposed, that the only part of state vector components is measured. In particular case, hard-to-reach observations of elastic vibrations modes are not measured. Random, variable in time measurements errors and control realization errors attend. Case of multiplicative control realization errors is viewed. An electric jet engine is used to stabilize the satellite. Criterion of optimality is energy consumption. Various versions of a structure of measurements and influence on damping process by errors value are investigated.
For the solution of a problem new method, developed by authors, of synthesis optimal control strategy for quasi linear stochastic systems with incomplete information about the state, based on a method of functions of Ljapunov-Lagrange [2], is used.
Offered outcomes are new and may be used at designing of control systems nano satellites and pico satellites for which the problem of control under the inexact information is actual [3].
The literature1. Eshli H. Dynamics of large flexible objects on orbit. // Rocket techniques and cosmonautics 5, N 3, 1967.
2. Rumjantsev D.S., Khrustalev M.M. Optimal control of quasi-linear systems of the diffusion type under incomplete information on the state. // News of The Russian Academy of Science. The theory and control systems. 2006 N 5.
3. Matrosov V.M., Veretennikov V.G. About scientific - education program of development of university pico satellites of the Earth; about their stabilization and stability at disturbances. 3-rd International conference - "Aviation and and astronautics - 2004". November, 1-4, 2004. Moscow. Russia. Theses of reports. 2004.
- Abstract document
- Manuscript document
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