On the Computation of Switching Surfaces in Optimal Control: A Gröbner Basis Approach

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Please use this identifier to cite or link to this item: http://hdl.handle.net/1853/31283

Title: On the Computation of Switching Surfaces in Optimal Control: A Gröbner Basis Approach
Author: Walther, Uli ; Georgiou, Tryphon T. ; Tannenbaum, Allen R.
Abstract: A number of problems in control can be reduced to finding suitable real solutions of algebraic equations. In particular, such a problem arises in the context of switching surfaces in optimal control. A powerful new methodology for doing symbolic manipulations with polynomial data has been developed and tested, namely the use of Grobner bases. We apply the Grobner basis technique to find effective solutions to the classical problem of time-optimal control.
Description: ©2001 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or distribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. DOI: 10.1109/9.917655
Type: Article
URI: http://hdl.handle.net/1853/31283
ISSN: 0018-9286
Citation: Uli Walther, Tryphon T. Georgiou, and Allen Tannenbaum, “On the Computation of Switching Surfaces in Optimal Control: A Gröbner Basis Approach,” IEEE Transactions on Automatic Control, Vol. 46, No. 4, April 2001, 534-540.
Date: 2001-04
Contributor: Purdue University. Dept. of Mathematics
University of Minnesota. Dept. of Electrical and Computer Engineering
Publisher: Georgia Institute of Technology
Institute of Electrical and Electronics Engineers
Subject: Bang-bang control
Geometry
Linear systems
Polynomials
Time optimal control
Computation algebraic geometry
Gröbner bases
Optimal control
Switching surfaces

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