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110年 - 110 國立臺灣大學_碩士班招生考試_電機工程研究所甲組:控制系統(C)(含電路系統分析)#101161
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題組內容
5. Consider the electric circuit shown in Fig. 3.
(b) What condition on R, L, and C will guarantee that the system is "controllable"? (5%)
相關申論題
1. Figure 1 shows a non-ideal operational amplifier with negative feedback. Show the configuration of this circuit connection is unstable. (15%)
#424064
(a) What values of ωn and ξ correspond to the shaded regions? (6%)
#424065
(b)Let Ka = a = 2. Find values for Kl and K, so that the poles of the closed-loop system lie within the shaded regions. (6%)
#424066
(c) Demonstrate that no matter what the value of KA and A are, the controller provides enough flexibility to place the poles anywhere in the letft-half plane. (8%)
#424067
3. Modify the Routh criteria so that it can apply to the case in which all the poles are to be to the left of a when a ＞ 0 to the polynomial: s3 + (6 + K)s2 + (5 + 6K) + 5K = 0, with the assume value of c-1.(15%)
#424068
(a) Draw the block diagram for the plant with the condition that one integrator for each state variable. (4%)
#424069
(b)Find the transfer function. (4%)
#424070
(c)Find the closed-loop characteristic equation if the "state feedback" is u = -[K1 K2]x;(6%)
#424071
(d)Find the closed-loop characteristic equation if the "output feedback" is u = -K•y . (6%)
#424072
(a) Write the state equation for the circuit. The input u(t) is current, and the output y is voltage. Let X1 =iL and x2 = vc . (5%)
#424073
相關試卷
110年 - 110 國立臺灣大學_碩士班招生考試_電機工程研究所甲組:控制系統(C)(含電路系統分析)#101161
110年 · #101161
109年 - 109 國立臺灣大學_碩士班招生考試_電機工程研究所甲組:控制系統(C)(含電路系統分析)#105839
109年 · #105839
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