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Relay feedback‐based time domain modelling of off‐diagonal elements of linear 2‐by‐2 MIMO systems
Author(s) -
Sujatha V.,
Panda Rames C.
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.21654
Subject(s) - mimo , relay , control theory (sociology) , diagonal , transfer function , time domain , function (biology) , expression (computer science) , fractionating column , multivariable calculus , computer science , mathematics , distillation , engineering , control engineering , chemistry , physics , telecommunications , channel (broadcasting) , artificial intelligence , biology , power (physics) , geometry , control (management) , quantum mechanics , evolutionary biology , computer vision , programming language , organic chemistry , electrical engineering
A novel approach to model the off‐diagonal closed‐loop transfer function of 2‐by‐2 multi input multi output (MIMO) system in time domain using ideal as well as biased relay feedback tests are presented. Analytical expressions are derived, for transfer function models of 2‐by‐2 MIMO system having individual transfer function elements of first‐order plus dead time (FOPDT) nature, using ideal and biased relay feedback tests in time domain and have been validated on 2‐by‐2 multivariable distillation column examples from the literature as well as on coupled tanks liquid level experimental set‐up. The results show that the derived expression matches with the original undesired relay response even without approximation of time delay in the denominator of closed‐loop transfer function of 2‐by‐2 MIMO system. These analytical expressions are useful to identify unknown system parameters. © 2012 Canadian Society for Chemical Engineering