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

fYear

2010

fDate

June 30 2010-July 2 2010

Firstpage

4683

Lastpage

4688

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 COMPl_eib 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 COMPl_eib library.

Keywords

T invariance; control system synthesis; feedback; linear matrix inequalities; random processes; randomised algorithms; reduced order systems; stability; COMPl_eib 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;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference (ACC), 2010

Conference_Location

Baltimore, MD

ISSN

0743-1619

Print_ISBN

978-1-4244-7426-4

Type

conf

DOI

10.1109/ACC.2010.5531075

Filename

5531075