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研究所、轉學考(插大)◆控制系統
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110年 - 110 國立臺灣大學_碩士班招生考試_工程科學及海洋工程學研究所丙組:控制系統(B)#100939
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題組內容
3. A Nyquist stability problem is shown in Fig.3,
(a) Please derive and sketch the Nyquist plot. (15%.)
其他申論題
(a) Sketch the root locus as D(s)-K, including asymptotes and breakaway points. (7%)
#423002
(b) Find the range of K for stability in (a). (4%)
#423003
(c) In order to improve the stability, a zero is added in the controller as D(s)= K(s + a) to make the root locus cross the jw-axis at ±j5.5. Please find the value of a, and sketch the new root locus.(10%)
#423004
(d)Find the range of K for stability in (c). (4%)
#423005
(b) Find the range of K for stability by Nyquist stability criterion. (10%.)
#423007
(a) Please derive the state space equation of the closed-loop control system. (10%)
#423008
(b)Please solve the gain Ka and K, for the closed-loop poles located at-2 ± j2.(15%)
#423009
1. (15%) A magnetic field is given in the xz-plane by, Wb/m2. Consider a regid square loop situated in the xz-plane with its vertices at (x, 0, 1), (x+1,0, 1), (x+1,0, 2), and (x, 0, 2). Find the emf induced around the loop in the sense defined by connecting the above points in succession.
#423010
2. (15%) Charge is distributed with uniform density p0, C/m3 in the spherical region a＜s ＜2a. Find the electric displacement field everywhere.
#423011
(a) Find the magnetic field everywhere.
#423012
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