103年 - 103 國立嘉義大學_碩士班(乙組)招生考試試題_生物機電工程學系：自動控制#146126

(a) Find the transfer function  \( \frac{V_o(s)}{V_i(s)} \) of the filter. (15%)

(b) Let R₁=R₂ =500Ω, R₃C=1/10ΩF, and find the step response.(10%)

 (a) Find the closed-loop transfer function \( M(s) = \frac{C(s)}{R(s)} \). (15%)

(b) Simplify the block diagram as a unity negative feedbacksystem. (10%)

(a) Sketch the root locus.

(b) Find the asymptotes.

(c) Find the value of gain that will make the systemmarginally stable.

(d) Find the value of gain for which the closed-loop transferfunction will have a pole on the real axis at -0.5. 

(a) Drawing the signal-flow graphs.

(b) Use Mason’s rules to find the transfer function ofsystem.