Constructive approaches to submanifold stabilization / vorgelegt von Jan Maximilian Montenbruck aus Oberhausen.

Format:

Book

Author/Creator:

Montenbruck, Jan Maximilian, author.

Language:

English

German

Subjects (All):

Submanifolds.

Physical Description:

1 online resource (xiii, 98 pages) : illustrations

Place of Publication:

Berlin : Logos Verlag Berlin GmbH, [2016]

Language Note:

In English. Some information on title page, title page verso, and part of introduction, in German.

Summary:

Long description: 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-affine 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.

Notes:

"Institut für Systemtheorie und Regelungstechnik, Universität Stuttgart."

"Von der Fakultät Konstruktions-, Produktions-, und Fabrzeugtechnik und dem Stuttgart Research Centre for Simulation Technology der Universität Stuttgart zur Erlangung der Würde eines Doktor-Ingenieurs (Dr. -Ing.) genehmigte Abhandlung."

Includes bibliographical references (page 89-95).

Description based on print version record.

ISBN:

3-8325-9474-4