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Journal of Computer and Systems Sciences International
Published in: Journal of Computer and Systems Sciences International 3/2022

01-06-2022 | CONTROL IN DETERMINISTIC SYSTEMS

Quasi-Optimal Stabilization of Oscillatory Systems with Many Degrees of Freedom

Authors: P. S. Voevodin, Yu. M. Zabolotnov

Published in: Journal of Computer and Systems Sciences International | Issue 3/2022

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Abstract

The problem of the quasi-optimal stabilization of small oscillations of mechanical systems with many degrees of freedom with slowly varying parameters and small perturbations is considered. For the synthesis of approximately optimal controllers, the Bellman dynamic programming principle is used in combination with the averaging method. The averaging method is used to obtain an asymptotic solution of the Hamilton–Jacobi–Bellman equations. The proposed synthesis algorithm makes it possible to significantly simplify the problem of designing approximately optimal controllers, and to obtain an analytical solution for the particular cases under consideration. As an example, the problem of stabilizing the motion of a small spacecraft (SC) relative to the direction of the tether during the deployment of a space tether system is considered.
previous article Controlling the Motion of an Aerodynamic Pendulum with an Elastically Fixed Suspension Point
next article Approach to the Stability Analysis of Partial Equilibrium States of Nonlinear Discrete Systems

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Metadata
Title
Quasi-Optimal Stabilization of Oscillatory Systems with Many Degrees of Freedom
Authors
P. S. Voevodin
Yu. M. Zabolotnov
Publication date
01-06-2022
Publisher
Pleiades Publishing
Published in
Journal of Computer and Systems Sciences International / Issue 3/2022
Print ISSN: 1064-2307
Electronic ISSN: 1555-6530
DOI
https://doi.org/10.1134/S1064230722020150

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