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Journal of Computer and Systems Sciences International

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01-05-2019 | SYSTEMS THEORY AND GENERAL CONTROL THEORY

Stabilization of a Moving Object in a Neighborhood of an Instable Equilibrium: Some Peculiarities of Problem Statement

Author: G. A. Stepan’yants

Published in: Journal of Computer and Systems Sciences International | Issue 3/2019

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Abstract

The problem of designing a control law that guarantees the asymptotical stability of a moving object in a neighborhood of an instable equilibrium of the isolated system is considered. The desired control law minimizes the energy cost function that is assumed to be proportional to the integral of a positive definite quadratic form of the control vector. If the motion equations can be decomposed into globally asymptotically stable and instable subsystems, then this control law depends only on the state vector of the instable subsystem. The optimal control law can be obtained using time reversal from the motion equations of the instable subsystem.

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Title: Stabilization of a Moving Object in a Neighborhood of an Instable Equilibrium: Some Peculiarities of Problem Statement
Author: G. A. Stepan’yants
Publication date: 01-05-2019
Publisher: Pleiades Publishing
Published in: Journal of Computer and Systems Sciences International / Issue 3/2019
Print ISSN: 1064-2307
Electronic ISSN: 1555-6530
DOI: https://doi.org/10.1134/S1064230719030183

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