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Nonlinear Laguerre–Volterra observer‐controller and its application to process control
Author(s) -
Zhang HaiTao,
Chen Michael Z. Q.,
Chen Zhiyong
Publication year - 2009
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.1435
Subject(s) - control theory (sociology) , nonlinear system , volterra series , laguerre polynomials , observer (physics) , controller (irrigation) , orthonormal basis , continuous stirred tank reactor , stability (learning theory) , nonlinear control , series (stratigraphy) , state observer , kernel (algebra) , control engineering , mathematics , computer science , control (management) , engineering , artificial intelligence , physics , quantum mechanics , chemical engineering , machine learning , combinatorics , agronomy , biology , mathematical analysis , paleontology
Abstract By expanding each kernel using the orthonormal Laguerre series, a Volterra functional series is used to represent the input/output relation of a nonlinear dynamic system. With the feedback of the modeling error, we design a novel nonlinear state observer, based on which an output feedback controller is derived for both the stabilization and tracking problems. The stability of the closed‐loop system is analyzed theoretically. The algorithm is effectively applied on the continuous stirring tank reactor and chemical reactor temperature control system. Copyright © 2009 John Wiley & Sons, Ltd.