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Stability margin optimization via interpolation and conformal mappings

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3 Author(s)
J. C. Cockburn ; Inst. for Math. & Applications, Minnesota Univ., Minneapolis, MN, USA ; Y. Sidar ; A. R. Tannenbaum

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

Published in:

IEEE Transactions on Automatic Control  (Volume:40 ,  Issue: 6 )