Title :
Simultaneous stabilization of a segment of systems by a parameterized compensator
Author :
Meddeb, Houda ; Fonte, Christophe ; Zasadzinski, Michel
Author_Institution :
CRAN, Univ. de Lorraine, Cosnes et Romain, France
Abstract :
In this paper, a particular parametrization of controllers is used to study the simultaneous stabilization of a segment of systems. A necessary and sufficient condition for simultaneously stabilizing this segment is produced. The given condition is converted into an optimization problem with one bilinear matrix inequality (BMI) constraint. Finally, an algorithm for computation of stabilizing controllers is proposed with an illustrative example.
Keywords :
bilinear systems; compensation; matrix algebra; stability; BMI constraint; bilinear matrix inequality; controller parametrization; necessary and sufficient condition; parameterized compensator; segment of system; simultaneous stabilization; Linear matrix inequalities; Nickel; Optimization; Polynomials; Vectors; Xenon; Simultaneous stabilization; bilinear matrix inequality (BMI); segment of systems;
Conference_Titel :
Control & Automation (MED), 2013 21st Mediterranean Conference on
Conference_Location :
Chania
Print_ISBN :
978-1-4799-0995-7
DOI :
10.1109/MED.2013.6608854
