no 1 2 3 4 5 6 7 8 9 tasks consider a real life system having at least

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No.
1.
2.
3.
4.
5.
6.
7.
8.
9.
Tasks
Consider a real-life system having at least a 3rd order, type-0 and over-damped
open-loop response; get the mathematical model of the system explaining its
dynamics.
G(s) = 1/(s+A)(s+B)(s+C)
A 9, B 8, C = 3
so, G(s) = 1/(s+9)(s+8)(s+3)
Check the stability of this system.
Considering a step input and certain initial conditions on input and output, compute
and plot the open-loop natural and forced components, and the total output.
Compute and plot the closed-loop unit step response (unity feedback) without initial
conditions; analyze this closed-loop response by finding out the closed-loop poles
(stability), and computing the unity feedback error co-efficient and corresponding
steady-state error.
Identify the issues (problems) with the closed-loop performance considering
the analyses done in (4.) above.
Give the different alternative designs for PID compensation.
Design a suitable PID compensations using root locus technique following the
detailed procedures
Compare the performance of these both designs with the one found in (4.) above;
comment and propose the possible corrections in any one of these designs.
Produce the MATLAB® codes and plots for steps (3.), (4.) and (7.) above. And
submit the full report with the dedicated tasks.