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110年 - 110 國立臺灣大學_碩士班招生考試_機械工程研究所系統控制組:控制系統(A)#100776
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3.(20%) Refer to Figure 3 with
(2) (5%) Sketch the Nyquist plot of L(s) = G(s)C(s).
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(3) (5%) Calculate the gain margin of the system.
#422092
(4) (5%) Calculate the phase margin of the system. C(s) G(s)
#422093
(I) (5%) Suppose, sketch the root-loci of the closed-loop system as K :0 → ∞ . Mark the important values of K on the plot.
#422094
(2) (5%) Find the range of K that can maintain system stability by the Nyquist Criterion.
#422095
(3) (5%) Find the frequency ω1, where
#422096
(4) (5%) Design a first-order controller C(s) to assign all closed-loop poles at s=-2.
#422097
(5) (10%) Design a controllersuch that the system has a phase margin of greater than 45° and a bandwidth of less than s+p 20 rad/sec. s(s-9)'
#422098
1. The 2020 Nobel Prize in Physics was awarded jointly to Roger Penrose from Britain, Reinhard Genzel from Germany and Andrea Ghez from the US. Pease describe their discoveries in brief. (10%)
#422099
2. Calculate the wavelength in nm of electrons which have been accelerated from rest through a potential difference of 54V. (15%)
#422100
(a) What additional quantum numbers are needed to specify fully an atomic quantum state and what physical quantities do they quantify? (10%)
#422101
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110年 - 110 國立臺灣大學_碩士班招生考試_機械工程研究所系統控制組:控制系統(A)#100776
110年 · #100776
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