Title :
Positive real Parrott theorem with application to LMI controller synthesis
Author :
Ly, J.H. ; Safonov, M.G. ; Ahmad, F.
Author_Institution :
Dept. of Electr. Eng., Univ. of Southern California, Los Angeles, CA, USA
fDate :
29 June-1 July 1994
Abstract :
The generalized Finsler´s theorem is shown to be equivalent to a positive real version of Parrott´s theorem by the bilinear sector transformation. The result established using Parrott´s theorem directly leads to a parameterisation of all solutions.
Keywords :
control system synthesis; matrix algebra; minimisation; LMI controller synthesis; bilinear sector transformation; generalized Finsler´s theorem; positive real Parrott theorem; Bismuth; Discrete transforms; Eigenvalues and eigenfunctions; Equations; H infinity control; Linear matrix inequalities; Robust control; Scheduling; Sufficient conditions; Transfer functions;
Conference_Titel :
American Control Conference, 1994
Print_ISBN :
0-7803-1783-1
DOI :
10.1109/ACC.1994.751691
