1.7 Figure 1.18 shows a feedback connection of a linear time-invariant system rep- resented by the transfer function G(s) and a nonlinear time-varying element defined by z = (t, y). The variables r, u, y, and z are vectors of the same dimension, and w(t, y) is a vector-valued function. With r as input and y as output, find a state model. G(s) = C(sI- A)-'B (t, y)

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1.7 Figure 1.18 shows a feedback connection of a linear time-invariant system rep-
resented by the transfer function G(s) and a nonlinear time-varying element defined
by z = (t, y). The variables r, u, y, and z are vectors of the same dimension, and
w(t, y) is a vector-valued function. With r as input and y as output, find a state
23=
model.
G(s) C(sI - A)-B
%3D
v(t, y)
Figure 1.18: Exercise 1.7.
Transcribed Image Text:1.7 Figure 1.18 shows a feedback connection of a linear time-invariant system rep- resented by the transfer function G(s) and a nonlinear time-varying element defined by z = (t, y). The variables r, u, y, and z are vectors of the same dimension, and w(t, y) is a vector-valued function. With r as input and y as output, find a state 23= model. G(s) C(sI - A)-B %3D v(t, y) Figure 1.18: Exercise 1.7.
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