User`s guide

2 LTI Models
2-50
The resulti ng T F mod e l i s dis play ed as
Transfer function from input "R" to output...
12.8
Xd: exp(–1*s) * ----------
16.7 s + 1
6.6
Xb: exp(–7*s) * ----------
10.9 s + 1
Transfer function from input "S" to output...
–18.9
Xd: exp(–3*s) * --------
21 s + 1
–19.4
Xb: exp(–3*s) * ----------
14.4 s + 1
Specifying Delays on the Inputs or Outputs
While ideal for frequency-domain models with I/O delays, the ioDelayMatrix
property is inadequate to capture delayed inputs or outputs in state-space
models. For example, the two models
share the same transfer function
As a result, they cannot be distinguished using the
ioDelayMatrix property
(the I/O delay value is 0.1 seconds in both cases). Yet, these two models have
different state trajectories since and are related by
M
1
()
x
·
t() x– t() ut 0.1–()+=
yt() xt()=



M
2
()
z
·
t() z– t() ut()+=
yt() zt 0.1–()=



hs()
e
0.1s
–
s 1+
----------------=
xt
()
zt
()
zt
()
xt 0.1
–()=