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110年 - 110台灣聯合大學系統_碩士班招生考試_電機類:控制系統#104974
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題組內容
2. Consider the feedback control systemn in Figure 2, where
(a) Find the conditions on k and a such that the closed-loop system is stable.
相關申論題
(b) Find k and a to satisfy the following requirements simultaneously:i. The closed-loop transfer function from r to y is a stable, order rational function.ji. The steady-state error with respect to the unit-ramp input r(t) = t, t ≥0, is less than 0.2.iii. The percent maximum overshoot with respect to the unit-step input r(t) = 1, t≥0, isless than 10%.
#445232
(c) Let Draw the root locus when k increases from 0 to ㆀo.If k = 1, what is the gain margin of the system?
#445233
(a) (6%) Plot the root locus for K＞0 and K＜0, respectively.
#445234
(b) Sketch the Nyquist plot for K＞0.
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(c) Analyze the stability from Nyquist plot for all K.
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(d) To stabilize the system, a control engineer chooses ) where p＞0. Show that the root locus contains a circle for K＞0.
#445237
(e) As in part (d), design the closed-loop poles at -1± j, design the controller
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(f) From the root locus in part (d), what are the Gain margin?
#445239
(g) In part (e) and inputr(t) =1 +cos(√2t-30°), what is the steady state output?
#445240
(a) What is the impulse response, h(t), of the output without initial condition?
#445241
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