AUTOMATIC CONTROL THEOREM (1)
⒈ Derive the transfer function and the differential equation of the electric network shown in Fig.1. (12% )
⒉ Consider the system shown in Fig.2. Obtain the clod-loop transfer function, . （12%）
Fig.2
⒊ The characteristic equation is given . Discuss the distribution of the clod-loop poles. (16%)
1 快速跑教学反思There are 3 roots on the LHP ② There are 2 roots on the LHP
2 There are 1 roots on the LHP ④ There are no roots on the LHP . K=?
⒋ Consider a unity-feedback control system who open-loop transfer function is
. Obtain the respon to a unit-step input. What is the ri time for this system? What is the maximum overshoot? （10%）
5. Sketch the root-locus plot for the system . ( The gain K is assumed to be positive.)
1 Determine the breakaway point and K value.
2 潜艇简笔画Determine the value of K at which root loci cross the imaginary axis.
含土的字3 Discuss the stability. (12%)
6. The system block diagram is shown Fig.3. Suppo , . Determine the value of K to ensure . (12%)
Fig.3
7. Consider the system with the following open-loop transfer function:
. ① Draw Nyquist diagrams. ② Determine the stability of the system for two cas, ⑴ the gain K is small, ⑵ K is large. (12%)
劈腿
8. Sketch the Bode diagram of the system shown in Fig.4. (14%)
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⒉
⒊ ① 0<K<6 ② K≤0 ③ K≥6 ④ no answer
范仲淹岳阳楼记⒋
⒌①the breakaway point is –1 and –1/3; k=4/27 ② The imaginary axis S=±j; K=2③
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⒎ 哇字组词
AUTOMATIC CONTROL THEOREM (2)
⒈Derive the transfer function and the differential equation of the electric network shown in Fig.1. (12% )
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