Title :
BMI global optimization based on branch and bound method taking account of the property of local minima
Author :
Kawanishi, Michihiro ; Sugie, Toshiharu ; Kanki, Hiralshi
Author_Institution :
Dept. of Mech. Eng., Kobe Univ., Japan
Abstract :
This paper deals with the global optimization of the BMI (bilinear matrix inequalities) eigenvalue problem. At first, we clarify some geometric properties of local minima of the BMI optimization problem. Then, based on these results, we give a modified branch and bound method for the BMI global optimization which improves the numerical efficiency, and demonstrate its optimization process by a simple numerical example
Keywords :
control system analysis; control system synthesis; eigenvalues and eigenfunctions; geometry; matrix algebra; optimisation; BMI optimization problem; bilinear matrix inequalities eigenvalue problem; branch-and-bound method; control system analysis; control system design; geometric properties; global optimization; Control system analysis; Control systems; Design optimization; Eigenvalues and eigenfunctions; Linear matrix inequalities; Mechanical engineering; Mechanical factors; Optimization methods; System analysis and design;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.650732
