Open AccessBoundary tracking control of an unstable cascaded heat system with a non‐collocated feedback
Author(s) -
Zhang YuLong,
Wang JunMin
Publication year - 2022
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/cth2.12319
Subject(s) - control theory (sociology) , feed forward , tracking (education) , boundary (topology) , tracking error , nyquist stability criterion , heat equation , interconnection , mathematics , computer science , control (management) , engineering , control engineering , mathematical analysis , psychology , pedagogy , parametric statistics , statistics , computer network , artificial intelligence
Here, we consider the output tracking problem of two cascaded heat equations through boundary interconnection, where one heat equation is unstable and the control input is placed on the boundary of the other heat equation. A feedforward control is designed to realize the output tracking to the desired reference signal. A non‐collocated static feedback control is proposed to stabilize the tracking error system. The admissible feedback gain is obtained by applying the Nyquist criterion. Then the closed‐loop tracking error system is showed to be exponentially stable. Finally, the tracking performance is illustrated by the numerical simulation.