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PID for the stabilization of high‐order unstable delayed systems with possible complex conjugate poles
Author(s) -
HernándezPérez Miguel A.,
MuroCuéllar Basilio,
VelascoVilla Martin
Publication year - 2015
Publication title -
asia‐pacific journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.348
H-Index - 35
eISSN - 1932-2143
pISSN - 1932-2135
DOI - 10.1002/apj.1904
Subject(s) - pid controller , control theory (sociology) , conjugate , stability (learning theory) , complex conjugate , order (exchange) , pi , work (physics) , controller (irrigation) , linear system , control (management) , mathematics , computer science , engineering , physics , control engineering , mathematical analysis , thermodynamics , economics , temperature control , finance , geometry , agronomy , artificial intelligence , machine learning , biology
This work considers the stabilization problem of n ‐dimensional unstable linear systems with time delay, specifically with one unstable pole and n ‐1 stable poles, which could be complex conjugate. Necessary and sufficient conditions are stated to guarantee the stability of the system in closed loop with a P , PI , PD , or PID controller. The performance of the control strategies are evaluated by considering the linear approximation of an unstable continuously stirred tank reactor and a high‐order academic system. © 2015 Curtin University of Technology and John Wiley & Sons, Ltd.
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