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Sequential identification: A procedure for insuring internal consistency of steady‐state gains for multivariable systems
Author(s) -
Shen ShihHaur,
Yu ChengChing
Publication year - 1996
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.5450740117
Subject(s) - consistency (knowledge bases) , multivariable calculus , identification (biology) , nonlinear system , control theory (sociology) , computer science , range (aeronautics) , strong consistency , steady state (chemistry) , state (computer science) , distillation , mathematics , algorithm , control engineering , engineering , statistics , control (management) , artificial intelligence , chemistry , botany , physics , quantum mechanics , estimator , organic chemistry , biology , aerospace engineering
The importance of obtaining consistent steady‐state gains increases as the expected level of performance increases. A new consistency relationship is derived to ensure that the steady‐state gains identified are physically correct. In addition to the consistency relationship, an identification procedure is also proposed to achieve the internal consistency. Unlike the typical identification‐reconciliation procedure, the proposed approach meets the internal consisency via the identification procedure (no reconciliation is necessary). Two nonlinear distillation examples, a 2 × 2 system and a 3 × 3 system, are used to illustrate the effectiveness of the proposed approach. The results show that physically correct description of the columns can be achieved using the proposed approach for a range of changes in the manipulated variables.