Consider the following unity negative feedback system: $1$ G $($s$)=($s $+1)($s$+5)$ Design a phase$-$lead controller s$+$z Gc $($s$)=$ K where K $>0,0<$ z $<$ P s$+$ p so that the system meets the following transient response characteristics: $1.2\%$ settling time: $2.$sec$.($ts $=4\mathrm{.}0)2.$ Percent overshoot: $1\mathrm{.}5\%.($Hint: You can use zero$-$pole cancellation to design the controller.$)$