Title :
Computational algebraic geometry and switching surfaces in optimal control
Author :
Walther, Uli ; Georgiou, Tryphon ; Tannenbum, A.
Author_Institution :
Dept. of Math., Minnesota Univ., Minneapolis, MN, USA
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. Recently, a powerful new methodology for doing symbolic manipulations with polynomial data has been developed and tested, namely the use of Groebner bases. In this paper, we apply the Groebner basis technique to find effective solutions to the classical problem of time-optimal control
Keywords :
linear systems; polynomials; symbol manipulation; time optimal control; Groebner bases; algebraic geometry; linear systems; polynomials; switching surfaces; symbolic manipulations; time optimal control; Computational geometry; Control systems; Equations; Force control; Linear systems; Mathematics; Optimal control; Polynomials; Robots; Testing;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.833289
