Modeling of 1st order system
CLO-3, PLO-10 Lab Report No.1 Name: Haleema Saadia
Taxonomy Level: A2 Course : LCS Lab Reg No: 21-EE-02
Section:B(B1)
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Lab Tasks 1:
1. For a series RC circuit with E(t) as a DC source applied to this circuit.
• Taking voltage across capacitor as an output, derive its transfer function.
• Compute the unit step response for R = 2KΩ and C = 0.01F using
MATLAB
• Repeat the simulation by taking C = 0.01F and R = 5KΩ
Lab Task 2:
Construct a first order transfer function in Matlab, i.e.,
• Take your Roll number as the value of both k and τ and obtain the step
response.
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• Now apply ramp as an input to the same system and see what happens?
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• Why it is not following the ramp exactly?
The reason why the system is not following the ramp input exactly is because it is a type 0
system, which means that it does not have a pole at the origin. For a type 0 system, the steady-
state error for a ramp input is infinite. This means that the system will not be able to track the
ramp input exactly and will have an infinite steady-state error.
In other words, a type 0 system is not able to accurately track a ramp input because it does not
have the necessary pole at the origin to cancel out the steady-state error.
• Apply sinusoid as an input and observe the response
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Lab Task 3
Consider a simple first-order system, G(s) = K/(s + a), whose step response
is
Compute the transfer function by finding the values of K and a from figure 1.3 . (Hint: You
can Use the equation and definitions given in the lab manual)
