Please see the attached file for a diagram and help with the following problems.
Consider the closed-loop control system shown above.
1. Develop a MATLAB script to assist in the search for a value of k so that the percent overshoot to a unit step input is greater than 1%, but less than 10%. The script should compute the closed-loop transfer function, T(s) = Y(s)/R(s), and generate the step response.
2. Verify graphically that the steady-state error to a unit step is zero.© BrainMass Inc. brainmass.com December 15, 2020, 3:49 pm ad1c9bdddf
Please see the attached files for the solution. The example of how to use the MATLAB script is in the doc file.
% The transfer function of series Gc(s)G(s)
% G(s) = 1/(s+k)
% Gc(s) = 10/s
% determine k>=0 to obtain 1%<Po<10%
% initail value
% closed-loop transfer function
numGc=10; denGc=[1 0]; ...
This posting helps with control systems. This solution contains a MATLAB script for a closed-loop control system transfer function and show the steady-state error to a unit step is zero.