New unknown input observer and output feedback stabilization for uncertain heat equation

• Published in: Automatica (Oxford) Vol. 86; pp. 1 - 10
• Main Authors: Feng, Hongyinping, Guo, Bao-Zhu
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.12.2017
• Subjects: Disturbance; Heat equation; Nonlinear boundary; Observer; Stabilization; Heat equation; Stabilization; Observer; Disturbance; Nonlinear boundary

In this paper, we propose a new method, by designing an unknown input type state observer, to stabilize an unstable 1-d heat equation with boundary uncertainty and external disturbance. The state observer is designed in terms of a disturbance estimator. A stabilizing state feedback control is design...