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(Solved): Problem Consider a unity feedback system with a forward transfer function \[ G(s)=\frac{1}{s(s+5)( ...
![Problem
Consider a unity feedback system with a forward transfer function
\[
G(s)=\frac{1}{s(s+5)(s+15)}
\]
Q1. Plot the step](https://media.cheggcdn.com/media/c5f/c5f24de0-979f-4b39-9a74-f34a2d0b5af4/php56x0d0)
Problem Consider a unity feedback system with a forward transfer function \[ G(s)=\frac{1}{s(s+5)(s+15)} \] Q1. Plot the step response of the above system using MATLAB 1 mark Q2. Design a P controller for the system in Q1 to maintain an overshoot of \( 20 \% \) and plot its step response using MATLAB. 2 marks Q3. Design a PD controller to reduce the settling time in \( \mathrm{Q} 2 \) by a factor of 4 , and plot its step response using MATLAB 3 marks
Expert Answer
Solution 1. Plot a step response