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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
1. A control system is shown in Fig.I with D
1
(s)=1,G(s)=
(a) Please solve the percent overshoot and the settling time of system in Fig. 1(a). (10%)
其他申論題
(b) Solve for the pressure field. (15%)
#422996
7. In a certain steady, incompressible, inviscid, two-dimensional flow field (w = O, and all variables independent of z) the x component of velocity is given by u = x2 - y. Will the corresponding pressure gradient in the horizontal x direction be a function only of x, only of y, or of both x and y? Please Justify your answer. (10%)
#422997
(b) Euler's equation
#422998
(c) Newtonian fluid (5%) (5%)
#422999
(b) The control performance in Fig.1(a) can be improved by the system in Fig. 1(b) with. Please design Ki and K2 to achieve 25% s(s+1) overshoot and settling time 0.2 sec. (15%)
#423001
(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
(a) Please derive and sketch the Nyquist plot. (15%.)
#423006
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