DocumentCode :
790691
Title :
Stability margin optimization via interpolation and conformal mappings
Author :
Cockburn, J.C. ; Sidar, Yariv ; Tannenbaum, Allen R.
Author_Institution :
Inst. for Math. & Applications, Minnesota Univ., Minneapolis, MN, USA
Volume :
40
Issue :
6
fYear :
1995
fDate :
6/1/1995 12:00:00 AM
Firstpage :
1066
Lastpage :
1070
Abstract :
Many interesting problems of robust stabilization can be solved using the complex function theoretic approach of Khargonekar and Tannenbaum (1985). This method is based on the construction of a conformal mapping which reduces the original robust stabilization problem to a Nevanlinna-Pick interpolation problem. The main difficulty of this approach lies in the construction the conformal mapping. The authors present a new numerical algorithm to construct such conformal mappings. Then they demonstrate its effectiveness in the synthesis of optimal gain-phase margin controllers
Keywords :
control system synthesis; interpolation; optimal control; robust control; Nevanlinna-Pick interpolation; complex function theoretic approach; conformal mappings; numerical algorithm; optimal gain-phase margin controllers; robust stabilization; stability margin optimization; Conformal mapping; Control systems; Feedback; Interpolation; Mathematics; Optimal control; Robust control; Robustness; Stability; Transfer functions;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/9.388685
Filename :
388685
Link To Document :
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