$\backslash [$

G$($s$)=\backslash$frac$\{8\}\{($s$+10)($s$+3)\}$

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Solve the problem assigned to you! A simple feedback control system is given below$-$ Use hand solution first to find all characteristics values needed. Then

By using Matlab; obtain

$-$ The closed loop transfer function $\backslash ($ C$($s$)/$ R$($s$)\backslash )$ and Plot the closed loop poles and zeros$-$

$-$ Plot the unit$-$step response when $\backslash ($ K$=1\backslash ).$ Then find Damping ratio, natural frequency, rise time, settling time, peak time, overshoot etc., show them in Matlab screen

$-$ Check your results by using formulas with hand solution. SENT THEM in BLACKBOARD assignments by putting your ID card in required time..