matlab and simulink 12 labs and every lab 4 questions

Tutorials No 4

All working and MATLAB programs to be kept/typed up in Microsoft

Word, which would be submitted at the end of Term 2

A first order system has a steady state gain of and a time

constant of 4 seconds. Initially the input to, and output from the system

is zero. At time the input increases by . Giving all of your

working.

I. Derive an expression for the system output for .

II. Plot the variation of the input and output with time on same graph

using MATLAB. You may use a time interval of 100seconds.

III. Calculate the error in the output at

IV. Compare the value of the output obtained from your MATLAB

graph at to your result from (iii).

V. Comment on the magnitude of the steady state error from your

MATLAB plot.

Label the axes of your MATLAB plot.