DocumentCode
830936
Title
A transformation for necessary optimality conditions for systems with polynomial nonlinearities
Author
Shamaly, A. ; Christensen, G.S. ; El-hawary, M.E.
Author_Institution
University of Alberta, Edmonton, Alberta, Canada
Volume
24
Issue
6
fYear
1979
fDate
12/1/1979 12:00:00 AM
Firstpage
983
Lastpage
985
Abstract
This work shows a new formulation means to obtain the optimal control for systems having polynomial nonlinearities by using functional analytic methods. The polynomic system is reduced to a quadratic form by introducing a set of pseudostate variables and the structure of the system is characterized by a set of matrices. A new set of optimizing equations is obtained and the necessary and sufficient conditions are met by the positive definiteness requirement on the system matrix.
Keywords
Nonlinear systems, continuous-time; Optimal control; Calculus; Cost function; Differential equations; Nonlinear equations; Optimal control; Polynomials; State-space methods; Sufficient conditions; Torque control; Voltage control;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1979.1102189
Filename
1102189
Link To Document