Sufficient LMI conditions for the design of static and reduced order controllers

Author

Trofino, Alexandre

Author_Institution

Dept. of Autom. & Syst., Univ. Fed. de Santa Catarina, Florianopolis, Brazil

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

6668

Lastpage

6673

Abstract

In this paper we address the problem of designing static and reduced order dynamic controllers for linear continuous-time invariant systems. A new LMI controller parametrization is proposed allowing for the design of stable and strictly proper controllers. In the static output feedback case the Lyapunov function matrices do not appear in the controller parametrization. The results are illustrated through several examples.

Keywords

Lyapunov methods; continuous time systems; feedback; linear matrix inequalities; linear systems; reduced order systems; LMI conditions; Lyapunov function; continuous-time invariant systems; control stability; linear matrix inequalities; linear systems; reduced order controller; static controller; static output feedback; Automatic control; Automation; Control systems; Eigenvalues and eigenfunctions; Lyapunov method; Output feedback; Performance analysis; Stability; State feedback; Symmetric matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Conference_Location

Shanghai

ISSN

0191-2216

Print_ISBN

978-1-4244-3871-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2009.5400640

Filename

5400640