## AIChE Symposium Series, Volume 93, Issue 316American Institute of Chemical Engineers, 1997 - Chemical engineering |

### From inside the book

Results 1-3 of 73

Page 267

The SVD of a

transformation . The effect of mean centering and scaling on the SVD of the

resultant

dimensional ...

The SVD of a

**matrix**is viewed from the perspective of sphere to ellipsoidtransformation . The effect of mean centering and scaling on the SVD of the

resultant

**matrix**, and thus the rank determination is discussed . Examples of 2 -dimensional ...

Page 268

mean centering and scaling do to a data

into higher dimension is straightforward . Further , we present a geometric test

method to see if mean centering and scaling are required . Our geometric criteria

...

mean centering and scaling do to a data

**matrix**, using 2 - d examples . Extensioninto higher dimension is straightforward . Further , we present a geometric test

method to see if mean centering and scaling are required . Our geometric criteria

...

Page 269

of A Geometric Interpretation of the Rank

approach is the determination of the effective rank of the data

words , how many dimensions of independent information is really contained in

the ...

of A Geometric Interpretation of the Rank

**Matrix**The key step at the heart of MVSapproach is the determination of the effective rank of the data

**matrix**. In otherwords , how many dimensions of independent information is really contained in

the ...

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### Contents

Industry Assessment | 1 |

Predictive Control | 5 |

Adaptive and Nonlinear Control Fact or Fantasy? | 9 |

Copyright | |

23 other sections not shown

### Common terms and phrases

achieve adaptive control addition algorithm analysis applications approach associated batch behavior bounded changes chemical closed complex Conference consider constant constraints continuous control system defined described determine developed direction discrete discussed disturbance dynamic effective engineering equations error estimation example exist factor Figure function future given horizon hybrid systems identification IEEE implementation important improved increase industrial initial input issues limited linear loop machine manufacturing matrix measurement methods monitoring networks nonlinear nonlinear control objective obtained on-line operating optimization output parameter performance plant possible practice present problem process control programming properties Pulp reactor represent respect response robust scheduling set point setpoint shown shows significant simulation solution solved specifications stability step structure techniques temperature theory tion transition trend uncertainty variables vector wafer