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Robust Stability Conditions for SISO Dynamic Matrix Control
Author(s) -
Dai L.K.,
Cheng Z.Q.
Publication year - 2001
Publication title -
developments in chemical engineering and mineral processing
Language(s) - English
Resource type - Journals
eISSN - 1932-2143
pISSN - 0969-1855
DOI - 10.1002/apj.5500090207
Subject(s) - control theory (sociology) , impulse (physics) , stability (learning theory) , lemma (botany) , matrix (chemical analysis) , finite impulse response , impulse response , computer science , mathematics , algorithm , control (management) , materials science , artificial intelligence , physics , ecology , mathematical analysis , poaceae , quantum mechanics , machine learning , composite material , biology
This paper presents the robust stability conditions for single‐input/single‐output (SISO) dynamic matrix control (DMC). Model uncertainty is described by using a range of possible plant impulse responses, and a new form of DMC algorithm based on a finite impulse response (FIR) model is discussed. Then robust stability conditions for the new DMC algorithm are derived by applying Jury's dominant coefficient lemma. These results provide theoretical foundations for analyzing and designing predictive control systems.