E(t)=u(t) 5 s+5 Zero-Order Hold Transfer Fon Y(t) Fig. 2 A closed-loop sampled-data system 1. The simulink model for a closed-loop continuous-time system is given in Fig. 1. E(t)=u(t) 5 S+5 Transfer Fcn Y(t) Fig. 1 A closed-loop continuous-time system a) Before the experiment, calculate and sketch Y(t) for the time interval t = [0,1] second. b) Start simulink and construct the model that is given in Fig.1. Additionally, in order to plot the Y(t) by using workspace use a clock and a workspace blocks which are named as t, ytContinuous. Set the sampling time -/1 for all workspace blocks. c) Select / second for simulation stop time and run it by clicking on the start button. d) Observe the output signal Y(t) on the scope. Plot the Y(t) by using t and ytContinuous. Compare the results with a. e) Repeat a, b, c, and d for the model that is given in Fig.2. Use ytSampled instead of ytContinuous for workspace block name. Also, assume that zero-order hold reconstruction method is used and the sampling time will be 0.1 second (T = 0.1 sec). (Hint: Note that for sampled-data system Y(t) is continuous output of the system) f) Plot the responses of the continuous time and sampled-data systems by using t ytContinuous and ytSampled on the same figure. Is there any difference or similarities between them? If any, explain the reason by proving the mathematical expressions.
E(t)=u(t) 5 s+5 Zero-Order Hold Transfer Fon Y(t) Fig. 2 A closed-loop sampled-data system 1. The simulink model for a closed-loop continuous-time system is given in Fig. 1. E(t)=u(t) 5 S+5 Transfer Fcn Y(t) Fig. 1 A closed-loop continuous-time system a) Before the experiment, calculate and sketch Y(t) for the time interval t = [0,1] second. b) Start simulink and construct the model that is given in Fig.1. Additionally, in order to plot the Y(t) by using workspace use a clock and a workspace blocks which are named as t, ytContinuous. Set the sampling time -/1 for all workspace blocks. c) Select / second for simulation stop time and run it by clicking on the start button. d) Observe the output signal Y(t) on the scope. Plot the Y(t) by using t and ytContinuous. Compare the results with a. e) Repeat a, b, c, and d for the model that is given in Fig.2. Use ytSampled instead of ytContinuous for workspace block name. Also, assume that zero-order hold reconstruction method is used and the sampling time will be 0.1 second (T = 0.1 sec). (Hint: Note that for sampled-data system Y(t) is continuous output of the system) f) Plot the responses of the continuous time and sampled-data systems by using t ytContinuous and ytSampled on the same figure. Is there any difference or similarities between them? If any, explain the reason by proving the mathematical expressions.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Transcribed Image Text:E(t)=u(t)
5
s+5
Zero-Order
Hold
Transfer Fon
Y(t)
Fig. 2 A closed-loop sampled-data system
![1. The simulink model for a closed-loop continuous-time system is given in Fig. 1.
E(t)=u(t)
5
S+5
Transfer Fcn
Y(t)
Fig. 1 A closed-loop continuous-time system
a) Before the experiment, calculate and sketch Y(t) for the time interval t = [0,1] second.
b) Start simulink and construct the model that is given in Fig.1. Additionally, in order to plot
the Y(t) by using workspace use a clock and a workspace blocks which are named as t,
ytContinuous. Set the sampling time -/1 for all workspace blocks.
c) Select / second for simulation stop time and run it by clicking on the start button.
d) Observe the output signal Y(t) on the scope. Plot the Y(t) by using t and ytContinuous.
Compare the results with a.
e) Repeat a, b, c, and d for the model that is given in Fig.2. Use ytSampled instead of
ytContinuous for workspace block name. Also, assume that zero-order hold reconstruction
method is used and the sampling time will be 0.1 second (T = 0.1 sec). (Hint: Note that
for sampled-data system Y(t) is continuous output of the system)
f) Plot the responses of the continuous time and sampled-data systems by using t
ytContinuous and ytSampled on the same figure. Is there any difference or similarities
between them? If any, explain the reason by proving the mathematical expressions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F018779f6-2f2c-49c0-a30d-c57c36330fde%2F7a1a5b48-5041-4bb8-9cc7-a2c4eddbf061%2Fxviiorr_processed.png&w=3840&q=75)
Transcribed Image Text:1. The simulink model for a closed-loop continuous-time system is given in Fig. 1.
E(t)=u(t)
5
S+5
Transfer Fcn
Y(t)
Fig. 1 A closed-loop continuous-time system
a) Before the experiment, calculate and sketch Y(t) for the time interval t = [0,1] second.
b) Start simulink and construct the model that is given in Fig.1. Additionally, in order to plot
the Y(t) by using workspace use a clock and a workspace blocks which are named as t,
ytContinuous. Set the sampling time -/1 for all workspace blocks.
c) Select / second for simulation stop time and run it by clicking on the start button.
d) Observe the output signal Y(t) on the scope. Plot the Y(t) by using t and ytContinuous.
Compare the results with a.
e) Repeat a, b, c, and d for the model that is given in Fig.2. Use ytSampled instead of
ytContinuous for workspace block name. Also, assume that zero-order hold reconstruction
method is used and the sampling time will be 0.1 second (T = 0.1 sec). (Hint: Note that
for sampled-data system Y(t) is continuous output of the system)
f) Plot the responses of the continuous time and sampled-data systems by using t
ytContinuous and ytSampled on the same figure. Is there any difference or similarities
between them? If any, explain the reason by proving the mathematical expressions.
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