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G$($s$)=\backslash$frac$\{0\mathrm{.}2\}\{2$ s$^\{2\}+0\mathrm{.}5$ s$+0\mathrm{.}7\}$

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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 C$($s$)/$R$($s$)$ and Plot the closed loop poles and zeros$-$

$-$ Plot the unit$-$step response when $\backslash (\backslash$mathrm$\{$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..