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