Assignment$\backslash$# $03$ Submission due: $15/11/2024$; Friday

Q$2.$ Figure $2$ shows a close loop roll angle control of an aircraft.

Figure $2$: Control system of Roll angle of an aircraft.

Find the value of controller gain $($k$)$ to meet the following requirements for the step roll angle $1$ degree reference, using Matlab control System Designer Toolbox.

a$.$ Percentage of overshoot

b$.$ Settling time $\backslash (<mn>2</mn><mn>.</mn><mn>5</mn><mtext></mtext><mi>\backslash </mi>$mathrm$\{$~s$\}\backslash )$ within $\backslash (\backslash$pm $2\backslash \%\backslash )$ of steady state value

c$.$ Rise Time $\backslash (<mn>1</mn><mn>.</mn><mn>5</mn><mtext></mtext><mi>\backslash </mi>$mathrm$\{$~s$\}\backslash )$

Include all details and also highlights restricted region of controller gain $($ k $)$ that does not meet requirements