Title :
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
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;
Conference_Titel :
Decision and Control, 2007 46th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
978-1-4244-1497-0
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2007.4434867
