101年 - 101 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#146404

(a) The equivalent single block that represents the transfer function, T(s) = C(s)/R(s). (10%)

(b) The damping ratio, natural frequency, percent overshoot, settling time, peak time, rise time, and damped frequency of oscillation. (15%)

Fig-1

(a) Sketch the Nyquist diagram for the system in Fig-2. (15%)

(b) Using the Nyquist criterion, find out whether the system is stable or not. (10%)

(a) Find the transfer function, \( G(s) = \frac{\Theta(s)}{T(s)} \). (10%)

(b) Find the moment of inertia J and coefficient of viscous friction D to yield 20％ overshoot and a settling time of 2 seconds for a step input of torque T(t). (15%)

(a) Sketch the root locus for the system. (8%)

(b) Find the breakaway point on the real axis. (8%)

(c) Find the gain where the locus crosses the jω-axis. (9%)