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
fDate :
4/1/2001 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on
