## Burnma y Two atatieticsareproposd for teeting the hypothmis of equality of the means of B bivariate normal distribution with unknown common variance and correlation coefficient when observations are missing on both variah. One of the statiatica reduces to the one proposed by BHOJ (1978,1984) wh
Fermentation data analysis and state estimation in the presence of incomplete mass balance
β Scribed by James C. Liao
- Publisher
- John Wiley and Sons
- Year
- 1989
- Tongue
- English
- Weight
- 973 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0006-3592
No coin nor oath required. For personal study only.
β¦ Synopsis
A method is developed for identifying measurement errors and estimating fermentation states in the presence of unidentified reactant or product. Unlike conventional approaches using elemental balances, this method employs an empirically determined basis, which can tolerate unidentified reaction species. The essence of this approach is derived from the concept of reaction subspace and the technique of singular value decomposition. It is shown that the subspace determined via singular value decomposition of multiple experimental data provides an empirical basis for identifying measurement errors. The same approach is applied to fermentation state estimation. Via the formulation of the reaction subspace, the sensitivity of state estimates to measurement errors is quantified in terms of a dimensionless quantity, maximum error gain (MEG). It is shown that using the empirically determined subspace, one can circumvent the problem of unidentified reaction species, meanwhile reducing the sensitivity of the estimates.
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