Title :
Mixed μ upper bound computation
Author :
Beck, Carolyn ; Doyle, John
Author_Institution :
Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA
Abstract :
Computation of the mixed real and complex μ upper bound expressed in terms of linear matrix inequalities (LMIs) is considered. Two existing methods are used, the Osborne (1960) method for balancing matrices, and the method of centers as proposed by Boyd and El Ghaoui (1991). These methods are compared, and a hybrid algorithm that combines the best features of each is proposed. Numerical experiments suggest that this hybrid algorithm provides an efficient method to compute the upper bound for mixed μ
Keywords :
matrix algebra; minimisation; linear matrix inequalities; mixed mu upper bound; numerical experiments; Eigenvalues and eigenfunctions; Linear matrix inequalities; Optimization methods; Symmetric matrices; Upper bound;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371241
