Question
Download Solution PDFUnit step response of a first-order system with transfer function
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Y(s) = X(s) . G(s)
X(s): Applied input.
G(s): transfer function
Y(s): Output response
A unit step input is defined as u(t). Its Laplace transform is given by:
Calculation:
The transfer function is given as:
The unit step response is the response when the input is a unit step function, i.e.
Using Partial fraction, we get:
On solving it, we’ll get:
Taking the Inverse Laplace Transform, we get:
Last updated on Jul 2, 2025
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