Algorithms and Software for LMI Problems in Control
Algorithms and Software for LMI Problems in Control
L. Vandenberghe and V. Balakrishnan
IEEE Control Systems Magazine, Vol. 17, No. 5, pages 89-95, October 1997
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.
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