Journal
AUTOMATICA
Volume 96, Issue -, Pages 1-10Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2018.06.020
Keywords
Boundary tracking; Heat equation; Unmatched disturbance; Boundary control
Funding
- National Natural Science Foundation of China [61603226]
- Scientific Research Project of Guangdong Education Department [2017KZDXM087]
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In this paper, we consider boundary output tracking for a one-dimensional heat equation with external disturbance at the opposite end of the bar. First, an unknown input infinite-dimensional observer is designed and an estimate of disturbance is obtained from the observer. Second, with reference signal and estimate of disturbance, we design a servo system which has bounded solution given that the reference signal and its derivative are bounded. The output feedback boundary control is then designed by the states of servo system and observer. It is proved that the state of closed-loop system tracks the state of the servo system. As a result, the output tracking is included. Finally, some simulation results are presented to illustrate the effectiveness of the proposed scheme. (C) 2018 Elsevier Ltd. All rights reserved.
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