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
fDate :
6/1/1995 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on