$11\mathrm{.}8$PID control action is applied to the plant

Gp$($s$)=$s$+10/(($s$+2)($s$+5))$

The PID controller has the transfer function

Gc$($s$)=$KP$(1+1/($TIs$)+$TDs$)$

Use the values TI$=0\mathrm{.}2$and TD$=0\mathrm{.}5.$Plot the root locus with the proportional gain KP $$as the parameter.Using the "series" command in Matlab to combine two transfer functions in Matlab and then use "rlocus" with the combined transfer function. Use "help series" in Matlab to understand the command.

Import both transfer functions into "sisotool"