MATLAB CONTROL SYSTEM TOOLBOX 9 Spécifications télécharger pdf (Page 219)

100

101

LQG Regulation: Rolling Mill Example

10-35

% Input thickness/hardness disturbance model

Fix = tf(1e4,[1 0.05],'inputn','w-ix')

% Rolling eccentricity model

Fex = tf([3e4 0],[1 0.125 6^2],'inputn','w-ex')

% Gain from force to thickness gap

gx = 1e-6;

Next build the open-loop model shown in Figure 10-1 above. You could use the

function

connect for this purpose, but it is easier to build this model by

elementary

append and series connections.

% I/O map from inputs to forces f1 and f2

Px = append([ss(Hx) Fex],Fix)

% Add static gain from f1,f2 to outputs ”x-gap” and ”x-force”

Px = [-gx gx;1 1] * Px

% Give names to the outputs:

set(Px,'outputn',{'x-gap' 'x-force'})

Note: To obtain minimal state-space realizations, always convert transfer

function models to state space before connecting them. Combining transfer

functions and then converting to state space may produce nonminimal

state-space models.

The variable

Px now contains an open-loop state-space model complete with

input and output names.

Px.inputname

ans =

'u-x'

'w-ex'

'w-ix'

Px.outputname

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MATLAB CONTROL SYSTEM TOOLBOX 9 Spécifications Page 219

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