Performance output tracking for a one-dimensional unstable heat equation with input delay

Autor:	Li Wang, Hongyinping Feng
Rok vydání:	2022
Předmět:	Control and Optimization Control and Systems Engineering Applied Mathematics
Zdroj:	IMA Journal of Mathematical Control and Information. 39:254-274
ISSN:	1471-6887 0265-0754
DOI:	10.1093/imamci/dnab046
Popis:	In this paper, we investigate the performance output tracking for a one-dimensional unstable heat equation with input delay and disturbance. Both the performance output and the disturbance are non-collocated to the controller. By writing the time delay as a transport equation, the control plant becomes a cascade system in which the transport equation can be regarded as the actuator dynamics of the unstable heat equation. As a result, the method of actuator dynamics compensation can be used. The difficulties caused by the non-collocated configuration are figured out in the method of trajectory planning. The full state feedback is presented to realize the output tracking, and an error based observer is constructed successfully. The exponential stability of the closed-loop system and the well-posedness of the observer are proved.
Databáze:	OpenAIRE
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