轮机自动化习题答案

transfer function (闭环传递函数) with MATLAB, and analyze the stability
(稳定性) of the system. If the system is stable, plot the unit-step (单位阶跃)
response curve and compute the maximum overshoot (超调量).
G2 (s)
+
=xy
=
A1x C1x
+
B1u
+
+
G3 ( s)
Figure 1
3. Consider the unity-feedback (单位反馈) system shown in Figure 2. Plot the root loci (根轨迹) of the system with MATLAB, find the range of the gain K required for stability, and plot unit-ramp (单位斜坡) response
1. The elements of Fibonacci array (斐波那契数列) meet the following
rules:
ak +2
= ak +
ak +1 (k
= 1, 2, )
(
a=1
a=2
1 ), find the first element that is
greater than 1000 and its sequence number k.
注意：考试前先按以下要求创建各自的考试文档，在 D 盘根目录下创建一个文 件夹，命名成：学号_姓名，例如：201610230001_张三，注意学号在前，姓名 在后，中间用下划线隔开，考试中所编写的所有程序均放在该文件夹下，每个 程序 m 文件以姓名拼音的首个字母命名，例如：zs1 表示张三的第一道题，务 必按要求对文件夹和程序文件进行命名！
r
2
10
y
s(s + 2)
1 s
Figure 3
2. Consider the system shown in Figure 1, w= here A1
0 −4 = 1 16 , B1
2 1 ,
= C1
[= 2 5],G2 (s)
(s −2(1s)(2s−−22s)+(= s2+) 5) ,G3(s)
3 . Obtain the closed-loop (s −1)2
save the file name as A1.mdl. Simulate the system with “sim” command,
plot the unit-step response curve, and obtain the sቤተ መጻሕፍቲ ባይዱttling time (过渡过程
时间, ±2%). (Simulation time is set to 10s)
curves of the closed-loop system for three different values of K = {2,10, 20}.
K s(s2 + 4s + 5)
Figure 2
4. Built a system block diagram shown in Figure 3 with SIMULINK and