An LMI approach for reduced-order ℋ2 LTI controller synthesis

Author

Hilhorst, Gijs ; Pipeleers, Goele ; Swevers, Jan

Author_Institution

Dept. of Mech. Eng., KU Leuven, Heverlee, Belgium

fYear

2013

fDate

17-19 June 2013

Firstpage

2392

Lastpage

2396

Abstract

This paper presents a procedure to design reduced-order ℋ₂ dynamic output feedback controllers for discrete-time linear time-invariant systems. Starting from a stabilizing full-order controller, novel sufficient linear matrix inequality conditions for the existence of reduced-order ℋ₂ controllers are derived. The proposed approach can either be applied directly to compute a controller of desired order from the full-order result, or iteratively by reducing the controller order successively. Numerical experiments confirm the potential of the proposed controller design approach.

Keywords

control system synthesis; discrete time systems; linear matrix inequalities; linear systems; reduced order systems; An LMI approach; controller design; controller order; discrete time linear time invariant systems; linear matrix inequality conditions; reduced order LTI controller synthesis; reduced order controllers; reduced order dynamic output feedback controllers; stabilizing full order controller; Closed loop systems; Linear matrix inequalities; Optimization; Output feedback; State feedback; Symmetric matrices; Upper bound;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference (ACC), 2013

Conference_Location

Washington, DC

ISSN

0743-1619

Print_ISBN

978-1-4799-0177-7

Type

conf

DOI

10.1109/ACC.2013.6580192

Filename

6580192