DocumentCode
1467748
Title
On the computation of switching surfaces in optimal control: a Grobner basis approach
Author
Walther, Uli ; Georgiou, Tryphon T. ; Tannenbaum, Allen
Author_Institution
Dept. of Math., Purdue Univ., West Lafayette, IN, USA
Volume
46
Issue
4
fYear
2001
fDate
4/1/2001 12:00:00 AM
Firstpage
534
Lastpage
540
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
Keywords
bang-bang control; geometry; linear systems; polynomials; time optimal control; Grobner basis approach; algebraic equations; polynomial data; switching surfaces; symbolic manipulations; Computational geometry; Control systems; Equations; Mathematics; Motion planning; Optimal control; Polynomials; Power system planning; Robots; Testing;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.917655
Filename
917655
Link To Document