The problem of control synthesis for uncertain systems: ellipsoidal techniques

Kurzhanski AB & Valyi I (1991). The problem of control synthesis for uncertain systems: ellipsoidal techniques. In: Modeling, Estimation and Control of Systems with Uncertainty. pp. 260-282 USA: Birkhäuser Boston. ISBN 978-1-4612-0443-5 DOI:10.1007/978-1-4612-0443-5_18.

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Abstract

This paper deals with a constructive technique of solving the problem of control synthesis under unknown but bounded disturbances in such a way that allows an algrithmization with an appropriate graphic simulation. The original theoretical solution scheme taken here comes from the theory introduced by N. N. Krasovski [1], from the notion of the “alternated integral” of L. S. Pontriagin [2] and the “funnel equation” in the form given in [3]. The theory is used as a point of application of constructive schemes generated through ellipsoidal techniques developed by the authors. A concise exposition of the latter is the objective of this paper. A particular feature is that the ellipsoidal techniques introduced here do indicate an exact approximati on of the original solutions based on set-valued calculus by solutions formulated in terms of ellipsoidal valued functions only.

Item Type: Book Section
Research Programs: System and Decision Sciences - Core (SDS)
Depositing User: Romeo Molina
Date Deposited: 03 May 2016 13:45
Last Modified: 03 May 2016 13:45
URI: http://pure.iiasa.ac.at/13071

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