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Title of Article

ELLIPSOIDAL ESTIMATION OF THE STABILITY REGION FOR A STABILISING SYSTEM OF AN UNSTALE OBJECT WITH SATURATION CONTROL


Issue
4
Date
2011

Article type
scientific article
UDC
62.50
Pages
2094-2095
Keywords
 


Authors
Voronkov V.S.
Nizhegorodskiy gosudarstvennyy arkhitekturno-stroitelnyy universitet


Abstract
Ellipsoidal estimation of the stability region for a stabilizing system of an unstable object with saturation control optimal under a minimum of the quadratic cost function is considered. It is shown that the maximal sizes of this ellipsoid are achieved if its principal axes coincide with the eigenvectors of linear objects. Then maximal sizes of this ellipsoid are given by means of admission derivations along an unstable variable.

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