NDLI: An optimal control application in power electronics using numerical algebraic geometry

Content Provider	IEEE Xplore Digital Library
Author	Bates, D.J. Beccuti, A.G. Fotiou, I.A. Morari, M.
Copyright Year	2008
Description	Author affiliation: Inst. for Math. & Its Applic., Univ. of Minnesota, Minneapolis, MN (Bates, D.J.)
Abstract	We present an optimal control application in power electronics using the homotopy continuation method for solving systems of polynomial equations. The proposed approach breaks the computations associated with the optimal control problem into two parts, an off-line and an on-line. In the off-line part, the approach solves a generic polynomial system by means of a linear homotopy and stores its solution. Then, the on-line part uses this solution and, given the initial state value, it calculates by means of a coefficient parameter homotopy the optimal control input of the problem. The approach exhibits a probability-one guarantee of finding the global optimal solution to the problem at hand.
Starting Page	2221
Ending Page	2226
File Size	298943
Page Count	6
File Format	PDF
ISBN	9781424420780
ISSN	07431619
DOI	10.1109/ACC.2008.4586822
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-06-11
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Optimal control Power electronics Geometry Polynomials Control systems Equations Nonlinear control systems Predictive models Predictive control DC-DC power converters
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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