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
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
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Question
![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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9e79be85-4305-4a40-b006-75dba4e852f1%2F8d132429-8771-472f-87de-d2d8b1822fee%2Fybvy1b7_processed.png&w=3840&q=75)
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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