Premium
Performance assessment of cascade control loops
Author(s) -
Ko ByungSu,
Edgar Thomas F.
Publication year - 2000
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690460208
Subject(s) - cascade , control theory (sociology) , variance (accounting) , minimum variance unbiased estimator , invariant (physics) , mathematics , multivariate statistics , control variable , control (management) , statistics , computer science , engineering , artificial intelligence , mean squared error , accounting , business , mathematical physics , chemical engineering
Abstract The minimum variance control law for a cascade control system is derived for two cases: the primary process has stable and unstable inverses. The expression for the primary output variable under the minimum variance cascade control is shown to be feedback‐invariant. An estimate of the minimum achievable variance in a cascade control loop can be obtained via multivariate time‐series modeling of the primary and secondary measurements collected under normal operation. The utility of the proposed performance assessment method is demonstrated using simulated and industrial data.