Constructive Approaches To Submanifold Stabilization

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Constructive Approaches to Submanifold Stabilization

Constructive Approaches to Submanifold Stabilization
Author :
Publisher : Logos Verlag Berlin GmbH
Total Pages : 115
Release :
ISBN-10 : 9783832542870
ISBN-13 : 3832542876
Rating : 4/5 (876 Downloads)

Book Synopsis Constructive Approaches to Submanifold Stabilization by : Jan Maximilian Montenbruck

Download or read book Constructive Approaches to Submanifold Stabilization written by Jan Maximilian Montenbruck and published by Logos Verlag Berlin GmbH. This book was released on 2016-07-15 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: Submanifold stabilization is the problem of steering a quantity towards a desired submanifold of the space in which it evolves. This is done by controlling the system producing the quantity in an appropriate fashion. In this thesis, methods for explicitly constructing controllers which solve submanifold stabilization problems are proposed. To this end, three distinct approaches are pursued: For control systems modeled by input-affne differential equations, a construction for turning the submanifold into an asymptotically stable invariant set is presented. For controllers which shall stabilize the submanifold with minimal energy consumption, the structure of such optimal controls is investigated. For control systems modeled by input-output relationships, a framework for bounding the integral deviation of the output from the submanifold is proposed.


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