Modeling and design of LTI controllers for multirate systems

Author

Cimino, Mauro ; Pagilla, Prabhakar R.

Author_Institution

Sch. of Mech. & Aerosp. Eng., Oklahoma State Univ., Stillwater, OK, USA

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

8160

Lastpage

8165

Abstract

In this paper we provide a frequency domain approach to model multirate SISO systems which facilitates design of linear time-invariant (LTI) controllers. To illustrate the approach we consider a dual-rate system with slow output measurements and fast control actions. We obtain necessary and sufficient conditions for the existence of stabilizing LTI controllers for which model matching is also achieved with a desired single-rate system. Moreover, a solution is given to the problem of parametrizing the set of such LTI controllers.

Keywords

control system analysis; control system synthesis; linear systems; sampled data systems; LTI controller design; LTI controller modeling; SISO systems; dual rate system; linear time invariant controllers; multirate systems; single rate system; Control system synthesis; Control systems; Frequency domain analysis; Process control; Steady-state; Sufficient conditions; Switches; Time varying systems; Transient response; Vectors;

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.2009.5400288

Filename

5400288