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Construct Linear Time Invariant (LTI) Models

2-11

CSTR Schematic

Measurement of reactant concentrations is often difficult, if not impossible. Let us

assume that T is a measured output, C

is an unmeasured output, T

is a manipulated

variable, and C

is an unmeasured disturbance.

The model fits the general state-space format

Ax Bu= +

y Cx Du= +

where

A c

Ai A

a a

b b

C D=

11 12

21 22

11 12

21 22

0 1

1 0

0 0

The following code shows how to define such a model for some specific values of the a

and b

constants:

A = [-0.0285 -0.0014

-0.0371 -0.1476];

B = [-0.0850 0.0238

0.0802 0.4462];

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