104年 - 104 國立嘉義大學_碩士班(乙組)招生考試試題_生物機電工程學系：自動控制#145945

科目：研究所、轉學考(插大)◆自動控制 | 年份：104年 | 選擇題數：0 | 申論題數：13

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所屬科目：研究所、轉學考(插大)◆自動控制

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申論題 (13)

1. Consider the mass-spring system depicted in Figure 1. Determine a differential equation to describe the motion of the mass, m. Obtain the system response to an initial displacement x(0)=1. Assume motion only in the vertical plane. (25%)
2. For the system of Figure 2 sketch the root locus and find the following:
(a) Plot root locus diagram. (10%)
(b) Asymptotes. (5%)
(c) Breakaway points. (5%)
(d) The range of K for stability. (5%)
Figure 2


3. A unity feedback system of the second order is shown in Figure 3.
(a) Find the natural frequency . (5%)
(b) Find the damping ratio . (5%)
(c) Find the peak time . (5%)
(d) Find the settling time . (5%)
(e) Find the percent overshoot . (5%)
Figure 3

4. Consider the root locus shown in Figure 4 and its associated characteristic
equation .
(a) Rewrite the characteristic equation in the form of . (9%)
(b) Find the poles and zeros. (8%)
(c) Find the break-away and break-in points. (8%)