Title :
Mixed LMI/randomized methods for static output feedback control design
Author :
Arzelier, D. ; Gryazina, E.N. ; Peaucelle, D. ; Polyak, B.T.
Author_Institution :
LAAS-CNRS, Univ. de Toulouse, Toulouse, France
fDate :
June 30 2010-July 2 2010
Abstract :
This paper addresses the problem of stabilization of LTI systems via static output feedback (sof). The objective is not only to compute a stabilizing sof but rather to compute a discrete set of stabilizing sof. Two complementary mixed LMI/randomized algorithms are defined for this purpose. The main idea is to combine a particular relaxed LMI parametrization of stabilizing sof with high efficiency of Hit-and-Run method for generating random points in a given domain. Their respective relevance is analysed on several examples of the COMPleib library which is intended to be the reference library for evaluating performance of reduced-order controller synthesis algorithms. Finally, the paper additionally provides an extensive evaluation of the different relevant instances of the COMPleib library.
Keywords :
T invariance; control system synthesis; feedback; linear matrix inequalities; random processes; randomised algorithms; reduced order systems; stability; COMPleib library; LMI; LTI system; hit-and-run method; linear matrix inequality; linear time invariant system; randomized method; reduced-order controller; stability; static output feedback; Algorithm design and analysis; Control design; Control systems; Control theory; Design optimization; Libraries; Optimal control; Output feedback; Performance analysis; Robust control;
Conference_Titel :
American Control Conference (ACC), 2010
Conference_Location :
Baltimore, MD
Print_ISBN :
978-1-4244-7426-4
DOI :
10.1109/ACC.2010.5531075
