Title :
Successive D.C. relaxation of parametrized LMIs - control applications
Author :
Ichihara, Hiroyuki ; Nobuyama, Eitaku
Author_Institution :
Dept. of Syst. Innovation & Informatics, Kyushu Inst. of Technol., Fukuoka, Japan
Abstract :
This paper presents a global optimization algorithm using difference of multiconvex relaxation successively for parametrized LMI problems. The problem is formulated as a minimax problem. On branch and bound, the relaxation is performed iteratively to have a feasible solution of the parametrized LMI problem. Numerical examples for stability analysis and L/sub 2/ gain performance analysis of linear parameter varying systems are shown.
Keywords :
linear matrix inequalities; linear systems; minimax techniques; relaxation theory; stability; tree searching; DC relaxation; branch and bound; control application; difference of convex relaxation; gain performance analysis; global optimization algorithm; linear parameter varying system; minimax problem; multiconvex relaxation; parametrized LMI; stability analysis;
Conference_Titel :
SICE 2004 Annual Conference
Conference_Location :
Sapporo
Print_ISBN :
4-907764-22-7
