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

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Page 28

At ... In order to discuss the nonlinear case let us first

nonlinear systems without drift term f ( x ) : m jc = 9 ; ( 2 ) ui . ( 27 ) i = 1 A system ...

**Consider**again a nonlinear system in input - affine form ( 1 ) . X ( 4At ) = x ( 0 ) +At ... In order to discuss the nonlinear case let us first

**consider**the special class ofnonlinear systems without drift term f ( x ) : m jc = 9 ; ( 2 ) ui . ( 27 ) i = 1 A system ...

Page 29

derivatives , which is usually called the ... is most probably the large class of

nonlinear systems ( arbitrary control affine smooth systems ) that we are

**Consider**the following relation between the state x and the output y , and itsderivatives , which is usually called the ... is most probably the large class of

nonlinear systems ( arbitrary control affine smooth systems ) that we are

**considering**.Page 107

For example ,

Index Transition

liquid initially , whose dynamics are described by the system of DAEs in Eqn . (

12 ) ...

For example ,

**consider**the DAEs in Eqn . ( 8 ) with v = 3 and y = 0 : AutonomousIndex Transition

**Consider**a vessel which is partially full of an incompressibleliquid initially , whose dynamics are described by the system of DAEs in Eqn . (

12 ) ...

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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