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Design of a multivariable internal model controller based on singular value decomposition
Author(s) -
Jin Qibing,
Zhao Liang,
Hao Feng,
Liu Siwen
Publication year - 2013
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.21735
Subject(s) - multivariable calculus , control theory (sociology) , singular value decomposition , internal model , decoupling (probability) , robustness (evolution) , mimo , singular value , computer science , mathematics , control engineering , algorithm , engineering , control (management) , eigenvalues and eigenvectors , artificial intelligence , biochemistry , chemistry , physics , quantum mechanics , gene , computer network , channel (broadcasting)
In this article, a novel internal model control (IMC) approach based on singular value decomposition (SVD) is proposed for the control of multiple‐input–multiple‐output (MIMO) systems with multiple time delays. This approach achieves decoupling using a compensation term and improves the robustness using SVD in the inverse of the steady‐state gain matrix of process. Meanwhile, a novel filter is designed for decoupling and fast response speed of multivariable systems with multiple delays. The design of the controller can be extended to non‐square systems where there are more inputs than outputs. Examples are included to illustrate the effectiveness of the method. © 2012 Canadian Society for Chemical Engineering