Title :
Algorithms and software for LMI problems in control
Author :
Vandenberghe, Lieven ; Balakrishnan, Venkataramanan
Author_Institution :
Dept. of Electr. Eng., California Univ., Los Angeles, CA, USA
fDate :
10/1/1997 12:00:00 AM
Abstract :
A number of important problems from system and control theory can be numerically solved by reformulating them as convex optimization problems with linear matrix inequality (LMI) constraints. While numerous articles have appeared cataloging applications of LMIs to control system analysis and design, there have been few publications in the control literature describing the numerical solution of these optimization problems. The purpose of this article is to provide an overview of the state of the art of numerical algorithms for LMI problems, and of the available software
Keywords :
computer aided analysis; control system analysis computing; control systems; mathematical programming; matrix algebra; LMI constraints; control system analysis; convex optimization; linear matrix inequality; optimization; semidefinite programming; Application software; Control system synthesis; Control systems; Control theory; Linear feedback control systems; Linear matrix inequalities; Nonlinear control systems; Optimal control; Riccati equations; Software algorithms;
Journal_Title :
Control Systems, IEEE
