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Performance output tracking for cascaded heat partial differential equation‐ordinary differential equation systems subject to unmatched disturbance
Author(s) -
Wen RuiLi,
Feng Hongyinping
Publication year - 2021
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.5411
Subject(s) - partial differential equation , control theory (sociology) , ordinary differential equation , trajectory , controller (irrigation) , mathematics , heat equation , dirichlet distribution , differential equation , tracking (education) , first order partial differential equation , computer science , mathematical analysis , control (management) , boundary value problem , physics , psychology , pedagogy , astronomy , artificial intelligence , agronomy , biology
In this paper, we are concerned with the performance output tracking for two cascades of one‐dimensional heat partial differential equation‐ordinary differential equation systems with Dirichlet and Neumann interconnection, respectively, where both the external disturbances are non‐collocated to the controller, and moreover, the disturbances come from exosystem. By means of the proper trajectory planning, the non‐collocated configurations can be converted into the collocated ones, so that the difficulties caused by these non‐collocateds are overcome. Exponential convergences of the regulation errors are proved. Finally, the numerical simulations validate the effectiveness of this method.