A proportional-plus-integral boundary control design for an unstable heat conduction system

Author

Cheng, Meng-Bi ; Su, Wu-Chung

Author_Institution

Nat. Chung Hsing Univ., Taichung

fYear

2007

fDate

12-14 Dec. 2007

Firstpage

4173

Lastpage

4178

Abstract

This paper presents a simple proportional-plus- integral (PI) boundary controller for an unstable parabolic systems. For an infinite-dimensional system, the characteristics of minimum-phase is not easily observed from those governing equation and boundary conditions. In this paper the method of infinite product expansion is firstly employed to identify exact locations of system zeros/poles. Furthermore, if the system parameters are given, the Nyquist plot can be used for minimum-phase check. Once the minimum-phase condition is satisfied, a simple PI output feedback boundary controller can achieve stabilizing even if there are multiple unstable modes.

Keywords

Nyquist stability; PI control; feedback; heat conduction; heat systems; multidimensional systems; Nyquist plot; infinite product expansion; infinite-dimensional system; minimum-phase check; output feedback; proportional-plus-integral boundary control design; stabilization; system parameter; system zeros/poles; unstable heat conduction system; unstable parabolic system; Control design; Control systems; Distributed control; Distributed parameter systems; Output feedback; Poles and zeros; Proportional control; Stability; Temperature control; Temperature distribution;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2007 46th IEEE Conference on

Conference_Location

New Orleans, LA

ISSN

0191-2216

Print_ISBN

978-1-4244-1497-0

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2007.4434867

Filename

4434867