Title :
Solving polynomial static output feedback problems with PENBMI
Author :
D. Henrion;J. Lofberg;M. Kocvara;M. Stingl
Author_Institution :
LAAS-CNRS, 7 Avenue du Colonel Roche, 31077 Toulouse, France, Department of Control Engineering, Faculty of Electrical Engineering, Czech Technical University in Prague, Technická
fDate :
6/27/1905 12:00:00 AM
Abstract :
An algebraic formulation is proposed for the static output feedback (SOF) problem: the Hermite stability criterion is applied on the closed-loop characteristic polynomial, resulting in a non-convex bilinear matrix inequality (BMI) optimization problem for SIMO or MISO systems. As a result, the BMI problem is formulated directly in the controller parameters, without additional Lyapunov variables. The publicly available solver PENBMI 2.0 interfaced with YALMIP 3.0 is then applied to solve benchmark examples. Implementation and numerical aspects are widely discussed.
Keywords :
"Polynomials","Output feedback","Linear matrix inequalities","Stability criteria","Eigenvalues and eigenfunctions","Control engineering","Lagrangian functions","Automatic control","Laboratories","Information theory"
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC ´05. 44th IEEE Conference on
Print_ISBN :
0-7803-9567-0
DOI :
10.1109/CDC.2005.1583385
