3- Find the transfer function for the following state space representation. Confirm your result using Matlab. *348-10 x+ и, -3-2 y= [ 10 ]x a. 1 2 x = 3 4 * - [ } } } ] × + [ 3 ]μ 5 x и, y=[ 7 8 ]x+9u 6 4- b. Consider the following electrical network which contains a nonlinear resistor whose voltage-current relationship is defined by vr = where i and v₁. are the resistor current and voltage, respectively with the input voltage vi(t) and the output y(t)i(t) (Current of nonlinear resistor). v(t) 1F 5v (t) v,(t) W Nonlinear Resistor a) Find the state-space representation for this electrical network. b) Draw the block diagram of the obtained state-space model in part a). c) Find the equilibrium points of the system for zero input voltage (vi(t) = 0) and linear state-space representations of the network around each equilibrium point. ir(s) d) Find the transfer function G(s) = of the linearized model in one of the equilibrium Vi(s) points.
3- Find the transfer function for the following state space representation. Confirm your result using Matlab. *348-10 x+ и, -3-2 y= [ 10 ]x a. 1 2 x = 3 4 * - [ } } } ] × + [ 3 ]μ 5 x и, y=[ 7 8 ]x+9u 6 4- b. Consider the following electrical network which contains a nonlinear resistor whose voltage-current relationship is defined by vr = where i and v₁. are the resistor current and voltage, respectively with the input voltage vi(t) and the output y(t)i(t) (Current of nonlinear resistor). v(t) 1F 5v (t) v,(t) W Nonlinear Resistor a) Find the state-space representation for this electrical network. b) Draw the block diagram of the obtained state-space model in part a). c) Find the equilibrium points of the system for zero input voltage (vi(t) = 0) and linear state-space representations of the network around each equilibrium point. ir(s) d) Find the transfer function G(s) = of the linearized model in one of the equilibrium Vi(s) points.
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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not use ai please don't
![3- Find the transfer function for the following state space representation.
Confirm your result using Matlab.
*348-10
x+
и,
-3-2
y= [ 10 ]x
a.
1 2
x =
3 4
* - [ } } } ] × + [ 3 ]μ
5
x
и,
y=[ 7 8 ]x+9u
6
4-
b.
Consider the following electrical network which contains a nonlinear resistor
whose voltage-current relationship is defined by vr = where i and v₁. are the
resistor current and voltage, respectively with the input voltage vi(t) and the output
y(t)i(t) (Current of nonlinear resistor).
v(t)
1F
5v (t)
v,(t)
W
Nonlinear
Resistor
a) Find the state-space representation for this electrical network.
b) Draw the block diagram of the obtained state-space model in part a).
c) Find the equilibrium points of the system for zero input voltage (vi(t) = 0) and linear
state-space representations of the network around each equilibrium point.
ir(s)
d) Find the transfer function G(s) =
of the linearized model in one of the equilibrium
Vi(s)
points.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F76f86d39-fc6c-49e1-9cba-30ac56cab5be%2F3b99d5a8-121f-4441-90d1-eb661eab5b1c%2Fznfr7e6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3- Find the transfer function for the following state space representation.
Confirm your result using Matlab.
*348-10
x+
и,
-3-2
y= [ 10 ]x
a.
1 2
x =
3 4
* - [ } } } ] × + [ 3 ]μ
5
x
и,
y=[ 7 8 ]x+9u
6
4-
b.
Consider the following electrical network which contains a nonlinear resistor
whose voltage-current relationship is defined by vr = where i and v₁. are the
resistor current and voltage, respectively with the input voltage vi(t) and the output
y(t)i(t) (Current of nonlinear resistor).
v(t)
1F
5v (t)
v,(t)
W
Nonlinear
Resistor
a) Find the state-space representation for this electrical network.
b) Draw the block diagram of the obtained state-space model in part a).
c) Find the equilibrium points of the system for zero input voltage (vi(t) = 0) and linear
state-space representations of the network around each equilibrium point.
ir(s)
d) Find the transfer function G(s) =
of the linearized model in one of the equilibrium
Vi(s)
points.
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