. Using the detailed example(3) in your handout, reorganize the state space equation pair so that you will be able to find: a. VR(S), H(S)=VR(S)/ V,(s),the differential equation relating VR to Vs b. Create the Block Diagram from the state space equation pair you created and simulate the result(model) in Matlab(Simulink) - the output/sink will be monitored via a scope b.1 Use a unit step function for the input and define your own set of values for R, L, C as well as the magnitude of your unit step function b.2 Compare the result when the model is changed into a single block defined by the transfer function you derived H(s) b.3 Using Multisim/Proteus or any other Electronic Workbench Software, monitor and compare also the waveform generated across the resistor to that obtained in b.1 and b.2 c. V₁(s), H(s)=V₁(s)/ V,(s), the differential equation relating V₁ to Vs

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Please answer and show complete solutions. Please ignore the part where we will simulate through mathlab. This is under feedback and control system
JAL LAB REQUIREMENT for ECEN 124
1. Using the detailed example(3) in your handout, reorganize the state space equation pair so that
you will be able to find:
a. VR(S), H(S)=VR(S)/ V,(s), the differential equation relating VR to Vs
b.
Create the Block Diagram from the state space equation pair you created and simulate the
result(model) in Matlab(Simulink) - the output/sink will be monitored via a scope
b.1 Use a unit step function for the input and define your own set of values for R, L, C as well
as the magnitude of your unit step function
b.2 Compare the result when the model is changed into a single block defined by the
transfer function you derived H(s)
b.3 Using Multisim/Proteus or any other Electronic Workbench Software, monitor and
compare also the waveform generated across the resistor to that obtained in b.1 and b.2
c. V₁(s), H(s)=V₁(s)/ V,(s),the differential equation relating V₁ to Vs
d.
Create the Block Diagram from the state space equation pair you created and simulate the
result(model) in Matlab - the output will be monitored via a scope
b.1 Use a unit step function for the input and define your own set of values for R, L, C as well
as the magnitude of your unit step function
b.2 Compare the result when the model is changed into a single block defined by the
transfer function you derived H(s)
b.3 Using Multisim/Proteus or any other Electronic Workbench Software, monitor and
compare also the waveform generated across the inductor to that obtained in b.1 and b.2
0
[*]-[-/L
The required output equation is:
Vg (t) (
R
с
(a) Physical system
1/C
-1/L-R/L
Example 3
Use the Laplace transform method to derive a single differential equation for the
capacitor voltage vc in the series R-L-C electric circuit shown in Fig. 4
Solution: The linear graph method of state equation generation selects the
· ] [%] + [ 1 ] V...
Vin.
y(t) = [1 0 ] [%] + [ 0 ] Vim
V (1)
R
(b) Linear graph
Figure 4: A series RLC circuit.
V (1)
(i)
(c) Normal tree
(ii)
Transcribed Image Text:JAL LAB REQUIREMENT for ECEN 124 1. Using the detailed example(3) in your handout, reorganize the state space equation pair so that you will be able to find: a. VR(S), H(S)=VR(S)/ V,(s), the differential equation relating VR to Vs b. Create the Block Diagram from the state space equation pair you created and simulate the result(model) in Matlab(Simulink) - the output/sink will be monitored via a scope b.1 Use a unit step function for the input and define your own set of values for R, L, C as well as the magnitude of your unit step function b.2 Compare the result when the model is changed into a single block defined by the transfer function you derived H(s) b.3 Using Multisim/Proteus or any other Electronic Workbench Software, monitor and compare also the waveform generated across the resistor to that obtained in b.1 and b.2 c. V₁(s), H(s)=V₁(s)/ V,(s),the differential equation relating V₁ to Vs d. Create the Block Diagram from the state space equation pair you created and simulate the result(model) in Matlab - the output will be monitored via a scope b.1 Use a unit step function for the input and define your own set of values for R, L, C as well as the magnitude of your unit step function b.2 Compare the result when the model is changed into a single block defined by the transfer function you derived H(s) b.3 Using Multisim/Proteus or any other Electronic Workbench Software, monitor and compare also the waveform generated across the inductor to that obtained in b.1 and b.2 0 [*]-[-/L The required output equation is: Vg (t) ( R с (a) Physical system 1/C -1/L-R/L Example 3 Use the Laplace transform method to derive a single differential equation for the capacitor voltage vc in the series R-L-C electric circuit shown in Fig. 4 Solution: The linear graph method of state equation generation selects the · ] [%] + [ 1 ] V... Vin. y(t) = [1 0 ] [%] + [ 0 ] Vim V (1) R (b) Linear graph Figure 4: A series RLC circuit. V (1) (i) (c) Normal tree (ii)
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