Title :
LMI-constrained concave programs in robust control
Author :
Apkarian, Pierre ; Tuan, Hoang Duong
Author_Institution :
Dept. of Control Syst., ONERA-CERT, Toulouse, France
Abstract :
We show that many open and challenging problems in control theory belong to the class of concave minimization programs. More precisely, these problems can be recast as the minimization of a concave objective function over convex linear matrix inequality (LMI) constraints. In this setting, these problems can then be efficiently handled using local and/or global optimization techniques
Keywords :
concave programming; control system analysis; eigenvalues and eigenfunctions; matrix algebra; robust control; concave programming; eigenvalues; global optimization; linear matrix inequality; objective function; robust control; stabilisation; Automatic control; Automatic programming; Centralized control; Constraint optimization; Control theory; Eigenvalues and eigenfunctions; Linear matrix inequalities; Optimization methods; Robust control; Symmetric matrices;
Conference_Titel :
American Control Conference, 1999. Proceedings of the 1999
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4990-3
DOI :
10.1109/ACC.1999.783597
