The L1 optimal control problem with rational controllers for continuous-time systems is considered in which it is shown that the optimal L1 performance index with rational controllers is equal to that of irrational controllers. A sequence of rational controllers that approximates the optimal index is constructed. Convergence properties of such a sequence are studied. That the corresponding sequence of objective transfer functions is shown to converge in weak-* topology in BV(R+) in the time domain and uniformly in a wider sense in the frequency domain
Published in:
Automatic Control, IEEE Transactions on
(Volume:37
,
Issue:
11
)
Date of Publication:
Nov 1992
- Page(s):
-
1683
-
1691
- ISSN :
-
0018-9286
- INSPEC Accession Number:
-
4355248
- Digital Object Identifier :
-
10.1109/9.173139
- Product Type:
-
Journals & Magazines
- Date of Current Version :
-
06 August 2002
- Issue Date :
-
Nov 1992
- Sponsored by :
-
IEEE Control Systems Society