For the following model of a dynamical system, 0. i = 1 x + 2 0 и, y = [1 _0]x + 2u, do the following: (a) Design a full-order asymptotic state estimator with the estimator poles located at -3 and –4. Write the equations of the estimator dynamics. :-[3 2]z +r. Find the transfer function, (b) Denote the estimator state by z. Let u = Y (s)/R(s), of the closed-loop system.

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For the following model of a dynamical system,
0.
* =
1
х +
и,
y = [1 0]x + 2u,
do the following:
(a) Design a full-order asymptotic state estimator with the estimator poles located at
-3 and –4. Write the equations of the estimator dynamics.
(b) Denote the estimator state by z. Let u = -[3 2]z +r. Find the transfer function,
Y (s)/R(s), of the closed-loop system.
Transcribed Image Text:For the following model of a dynamical system, 0. * = 1 х + и, y = [1 0]x + 2u, do the following: (a) Design a full-order asymptotic state estimator with the estimator poles located at -3 and –4. Write the equations of the estimator dynamics. (b) Denote the estimator state by z. Let u = -[3 2]z +r. Find the transfer function, Y (s)/R(s), of the closed-loop system.
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