102年 - 102 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#146371

(a) Find the transfer function . (10%)

(b) Solve the initial value problem if H, , F, and V with zero initial conditions. (15%)

(a) Find the state space equations. (10%)

(b) Draw the associated signal flow graph (SFG). (15%)

3. Represent the translational mechanical system shown in Fig. 3 in state space, where x1(t) is the output. (25%)

(a)What is the gain margin of the closed-loop system? (5%)

(b)What is the phase margin of the closed-loop system? (5%)

(c)What is the steady state error when r(t)=3 and disturbance d(t)=6 for all t>0? (5%)

(d)Where does the resonant peak of the closed-loop transfer function occur (answer in terms of frequency rad/sec). (5%)

(e) What are the maximum amplitude Mpw and the resonance frequency r? (5%)