A computationally fast technique accurately estimates process variable
s when conditions are dynamic due to changes in steady states. The pro
cess variable estimators are unbiased and have known distributions. Th
us, confidence intervals for true values of process variables are prov
ided. The formulation of this technique was motivated by a recursive,
dynamic data reconciliation technique that obtains very accurate estim
ators. These two techniques are compared in terms of computational spe
ed and accuracy of estimators. The proposed technique is computational
ly faster, but not as accurate when variances of process measurements
are large. However, the accuracy of the proposed estimators is shown t
o approach that of the recursive technique by iteratively recalculatin
g estimates and when measurement variances decrease.