AIChE Symposium Series, Volume 93, Issue 316American Institute of Chemical Engineers, 1997 - Chemical engineering |
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Page 28
... Consider again a nonlinear system in input - affine form ( 1 ) . Definition 2 The nonlinear system in ( 1 ) is called control- lable if for any two points x and x2 there exists an admis- sible input trajectory u that drives system ( 1 ) ...
... Consider again a nonlinear system in input - affine form ( 1 ) . Definition 2 The nonlinear system in ( 1 ) is called control- lable if for any two points x and x2 there exists an admis- sible input trajectory u that drives system ( 1 ) ...
Page 107
... consider the DAEs in Eqn . ( 8 ) with v = 3 and y = 0 : * = x - 1 x2 = x1 = x2 x2 = u2 ( t ) ( 8 ) which is equivalent to specifying the outlet flow from the second tank . The system of equations constraining the initial values of x and ...
... consider the DAEs in Eqn . ( 8 ) with v = 3 and y = 0 : * = x - 1 x2 = x1 = x2 x2 = u2 ( t ) ( 8 ) which is equivalent to specifying the outlet flow from the second tank . The system of equations constraining the initial values of x and ...
Page 268
... Consider a rectangular matrix , A , of size mxn , with m > n and rank of n . The economical singular value decomposition of A can be expressed as the product of three matrices , U , Σ , and V , each with a distinct property . Thus A ...
... Consider a rectangular matrix , A , of size mxn , with m > n and rank of n . The economical singular value decomposition of A can be expressed as the product of three matrices , U , Σ , and V , each with a distinct property . Thus A ...
Contents
Industry Assessment | 1 |
Predictive Control | 5 |
Adaptive and Nonlinear Control Fact or Fantasy? | 9 |
Copyright | |
22 other sections not shown
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adaptive control AIChE algorithm analysis analytical applications approach auto-correlation batch behavior changes Chem Chemical Engineering chemical process chip closed-loop constraints continuous control problems control system controller design defined developed discrete disturbance dynamic equations estimation example feedback control Figure finite Grafcet horizon hybrid systems identification IEEE implementation input linear control loop manufacturing matrix measured methods model predictive control monitoring Morari multivariable neural networks nonlinear control nonlinear model nonlinear systems on-line operating optimal control output error paper machine parameters Petri net PID controllers plant Proc process control process model programming Pulp and Paper quadratic quadratic program reactor robust robust control scheduling sensors sequence set point significant simulation snack food solution specifications stability step structure synthesis TAPPI Press techniques temperature theory tion trajectory transfer function trend trol uncertainty valve variables variance vector wafer