DocumentCode :
1356113
Title :
A gradient method for computing the optimal Hinfinity norm
Author :
Pandey, P. ; Kenney, C. ; Packard, A. ; Laub, A.J.
Author_Institution :
Dept. of Electr. & Comput. Eng., California Univ., Santa Barbara, CA, USA
Volume :
36
Issue :
7
fYear :
1991
fDate :
7/1/1991 12:00:00 AM
Firstpage :
887
Lastpage :
890
Abstract :
A fast algorithm for computing the optimal Hinfinity norm is presented. The algorithm is based on certain explicit computations of gradients. Examples are given to show that the gradient method is much faster than the bisection method. The gradient method can be used without the upper and lower bound computations. This could be a substantial additional saving because computing these bounds requires the computation of the Hinfinity norm.
Keywords :
optimal control; gradient method; lower bound; optimal control; upper bound; Automatic control; Costs; Frequency; Gradient methods; H infinity control; Mathematics; Military computing; Riccati equations; State-space methods; Writing;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/9.85073
Filename :
85073
Link To Document :
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