Given the following model of a dynamical system, *() = 6 x(t) + и (1), 1 0 y(t) = [0 1]xr (t), do the following: (a) Design a full-order asymptotic state estimator for the above system with the esti- mator poles located at –2 and –3. Write the equations of the estimator dynamics. CHAPTER 3 • LINEAR SYSTEMS Note that the pair (A, c) is already in the observer form, which should facilitate your estimator design. (b) Denote the estimator state vector by z. Let u function of the closed-loop system Y (s)/V (s). -[2 3]z + v. Find the transfer

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Given the following model of a dynamical system,
O 27
x(t) +
* (t) =
и (1),
1 0
y(t) = [0 1]x (t),
do the following:
(a) Design a full-order asymptotic state estimator for the above system with the esti-
mator poles located at –2 and –3. Write the equations of the estimator dynamics.
CHAPTER 3 • LINEAR SYSTEMS
Note that the pair (A, c) is already in the observer form, which should facilitate
your estimator design.
-[2 3]z + v. Find the transfer
(b) Denote the estimator state vector by z. Let u =
function of the closed-loop system Y (s)/V (s).
Transcribed Image Text:Given the following model of a dynamical system, O 27 x(t) + * (t) = и (1), 1 0 y(t) = [0 1]x (t), do the following: (a) Design a full-order asymptotic state estimator for the above system with the esti- mator poles located at –2 and –3. Write the equations of the estimator dynamics. CHAPTER 3 • LINEAR SYSTEMS Note that the pair (A, c) is already in the observer form, which should facilitate your estimator design. -[2 3]z + v. Find the transfer (b) Denote the estimator state vector by z. Let u = function of the closed-loop system Y (s)/V (s).
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