moocAutomatic Control Theory_1章节答案(慕课2023课后作业答案)

Chapter 1. Mathematical Model of Control System

Chapter 1 test. Mathematical Model of Control System

1、章节作业If the feed-forward transfer function of a system is 答案答案G(s)，feedback block is 慕课H(s)，the system open-looptransfer function is
A、课后G(s)H(s)
B、章节作业G(s)
C、答案答案G(s)/(1+G(s)H(s))
D、慕课G(s)/H(s)

2、课后If the closed-loop transfer function of the unity-feedback control system is 章节作业 , then the open-loop transfer function of the system is
A、
B、答案答案
C、慕课
D、课后

3、章节作业Which one is 答案答案correct about system transfer function?
A、Independent of the input signal and related to the system structure and parameters.
B、慕课It is related to input signal and system structure and parameters.
C、Related to input signal, independent of system structure and parameters.
D、It has nothing to do with system structure and is related to system parameters.

4、Transfer function is suitable for ( ) system.
A、Linear time-invariant system with single input and single output
B、Linear time-varying system with single input and single output
C、multiple input and multiple output
D、nonlinear system

5、For a LTI system, the unit-impulse response can be obtained by differentiating the corresponding response.
A、unit-step
B、unit-ramp
C、unit-parabolic
D、sinusoidal

6、Obtain the transfer function of U0(s)/Ui(s)
A、
B、
C、
D、

7、System dynamic structure block is shown as below，R(s)is input signal，N(s)is disturbance signal，obtain the transfer function of C(s)/R(s)
A、(G1G2+G1G3(1+G2H))/(1+G2H+G1G2+G1G3+G1G2G3H)
B、(G1G2+G1G3(1+G2H))/(1+G2H+G1G2+G1G3)
C、(G1G2)/(1+G2H+G1G2+G1G3+G1G2G3H)
D、(G1G2+G1G3)/(1+G2H+G1G2+G1G3+G1G2G3H)

8、System dynamic structure block is shown as below，R(s)is input signal，N(s)is disturbance signal，obtain the transfer function of C(s)/N (s)
A、(-1-G2H+G1G2G4+G1G3G4(1+G2H))/(1+G2H+G1G2+G1G3+G1G2G3H)
B、(G1G2G4+G1G3G4(1+G2H))/(1+G2H+G1G2+G1G3)
C、(G1+G1G3G4(1+G2H))/(1+G2H+G1G2+G1G3)
D、(-1+G2H+G1G2+G1G3G4G2H)/(1+G2H+G1G2+G1G3)

9、Closed-loop control system is an automatic control system. Open-loop control system is not an automatic control system.

10、The system is a system. (linear/nonlinear)

Chapter 1 homework

1、Simplifying the structural diagram to obtain transfer functionn

Chapter 2. Transient and Steady-State Response Analyses

Chapter 2 test. Transient and Steady-State Response Analyses

1、The closed-loop transfer function of a second-order system is The step response of the system will
A、be a damped oscillation
B、oscillate to infinity
C、increase monotonically
D、decrease monotonically

2、After the negative feedback connection is adopted, the
A、closed-loop system must be stable.
B、dynamic performance of the system will be improved.
C、steady-state error finally be eliminated completely.
D、structural parameters of the system need to be adjusted in order to improve the performance of the system.

3、The transfer function of a closed-loop system is G(s)=1/(s(s+1)) ，then the unit impulse response of the system is
A、
B、
C、
D、

4、If the steady-state error of unity feedback control system to a ramp input is constant, then the system is a type system
A、0
B、I
C、II
D、III

5、System dynamic structure block is shown in figure, （1） Determine the range of K for system stability.
A、0<K<15
B、0<K<8
C、-1<K<10
D、2<K<11

6、(2)Determine the range of K for the root of the system all on the left side of s=-1 in the s plane.
A、0.72<K<6.24
B、0.5<K<3.63
C、-0.28<K<1.93
D、0<K<9

7、(3)Determine the range of K for the steady-state error ess<=0.25 at input r(t)=2t+2.
A、8<K<15
B、-2<K<3
C、5<K<16
D、0<K<3

8、Given the transfer function G(s) of a system (3s+7)/(s(s+1)) A unit step u(t) is applied to the system’s input, then the time response y(t) is ( ).
A、y(t)= u(t) · (4+7t+4 e-t)
B、y(t)= u(t) · (2 + 7t + 7e-t)
C、y(t)= u(t) · (7 +4t + 4e-t)
D、y(t)= u(t) · (4 - 2t + e-t)

9、The control system is shown in Figure a. When Gc(s)=0，(1)determine the , the damping ratio of the closed-loop system .
A、0.316
B、0.707
C、1
D、0.5

10、(2) In Figure a, determine the undamped natural frequency of the closed-loop system.
A、3.16
B、2
C、2.73
D、1

11、(3)In Figure a, determine the maximum overshoot of the closed-loop system .
A、30%
B、10%
C、50%
D、9%

12、(4)In Figure a, determine the settling time (5% criterion) of the closed-loop system .
A、3
B、1
C、0.5
D、0.1

13、(5 )In Figure a, determine the steady-state error to a ramp input signal.
A、0.2
B、3
C、1
D、5

14、(6)In Figure a, making the steady-state error 0 to a ramp input signal, what is Gc(s)? ( e(t)=r(t)-c(t) )
A、0.2s
B、1/s
C、1/(s+1)
D、1+1/s

15、Determine the range of K when the closed-loop system is stable as shown in the figure.
A、0<K<84/25
B、0<K<6
C、0<K<3.2
D、0<K<9

16、The characteristic equation of the system is ，then the system is（）.
A、stable
B、unstable
C、critical stable
D、conditionally stable

17、Feedback control systems
A、can stabilize an unstable plant.
B、can de-stabilize a stable plant.
C、can feed sensor noise into the system.
D、must make system response faster.

18、The open-loop transfer function of the unity-feedback control system is G(s)=5/(s(s+2)) . When input is the unit-step,the steady-state error is .

19、The transfer function of the first-order system is 5/(s+2) for 2% criterion，the settling time is s.

20、First-order system under unit step response , its settling time is .(time constant T)

Chapter 3. Control Systems Analysis by the Root-Locus Method

Chapter 3 test. Root-Locus

1、The point satisfying the angle condition the point on the root locus.
A、must be
B、is not
C、may be
D、possibly be

2、The effect of adding poles to the control system is
A、bad to stability
B、good for stability
C、the root locus bends to the left
D、to increase angle between asymptote and real axis

3、The root-locus branches terminate at .
A、open-loop zeros or infinity
B、closed-loop poles
C、open-loop poles
D、closed-loop zeros

4、The open-loop transfer function of the unity-feedback control system is If the breakaway point is -2.5 on the real axis, then the real part of the third closed-loop root is .
A、-1
B、0
C、0.5
D、-2.9

5、The system open-loop transfer function is The root loci on the real axix are ( ).
A、[-20, -5] and [-1, -0.5]
B、[-5, -1] and [-0.5, 0]
C、[-20, -1]
D、[-5, -0.5]

6、The system open-loop transfer function is . Determine the range of K for closed-loop system stability by root-locus method .
A、0<K<3
B、0<K<27
C、0<K<2
D、0<K<10

7、Consider a unity-feedback control system whose open-loop transfer function is , determine the range of K in underdamped case
A、
B、0<K<5
C、
D、2<K<4

8、Consider a unity-feedback control system whose open-loop transfer function is ,determine the closed-loop poles at the minimum damping ratio .
A、
B、-1.66
C、
D、-5

9、Consider a unity-feedback control system whose open-loop transfer function is , the breakaway and break-in points are ( ).
A、
B、-1,-4
C、-0.5, 0.5
D、-1,-4.33

10、The open-loop transfer function of the unity-feedback control system is . Design a compensator as（τs+1） so that the dominant closed-loop poles are located at points -1±j1, and determine the value of τ.
A、1
B、0.5
C、2
D、3

Chapter 4. Control System Analysis and Design by the Frequency-Response Method

Chapter 4 test.Analysis and Design by the Frequency-Response Method

1、The transfer function of a compensation is , when ，it is a lead compensation.
A、
B、
C、0<T<1
D、

2、The effect of adding poles to the control system is ( ).
A、good for stability
B、bad to stability
C、the root locus bends to the right
D、to reduce angle between asymptote and real axis

3、The transfer function of a system is . When ＝0.5rad／s，the phase shift of the output sinusoid with respect to the input sinusoid = （　　）.
A、
B、
C、
D、

4、The open-loop transfer function of the unity-feedback control system is , under what condition will the closed-loop system become stable?
A、T<t
B、K<T
C、K<t
D、t<T

5、The open-loop transfer function of a system is . The polar plot of the system is located in .
A、quadrant 2、3
B、quadrant 2
C、quadrant 3、4
D、quadrant 1、2

6、The linear system transfer function is G(s)=1/(s+2). When input signal is r(t)= sin2t，the phase shift of the steady-state output compared to the input is .
A、lag 45°
B、the same
C、ead 45°
D、lead 90°

7、Which one is correct about Nonminimum-Phase system?
A、The system with a Transport Lag is a Nonminimum-Phase system.
B、Nonminimum-Phase system is unstable
C、Nonminimum-Phase system is stable
D、Nonminimum-Phase system is nonlinear system

8、When the order of the denominator polynomial of the Minimum-Phase system open-loop transfer function is greater than that of the numerator(n>m), the polar plot converge to the .
A、origin
B、point (-1，j0)
C、negative real axis infinity
D、positive real axis infinity

9、The log-magnitude curve moves towards as open-loop gain K increases.
A、upward
B、left
C、right
D、downward

10、The Log-magnitude curve of a minimum-phase open-loop system is shown as figure1 . Determine the system stability.
A、stable
B、unstalbe
C、critically stable
D、conditionally stable

11、For the minimum-phase system, according to the Bode diagram of the system, the transfer function (can or can not) be determined uniquely.

12、The Log-magnitude curve of a minimum-phase open-loop system is shown as figure1 . Determine the system open-loop transfer function Go(s).

finale test

finale test 1

1、Which one is a linear system ? ( ) sys1：c(t)=5r(t)+2； sys2：c(t)=3r2(t)
A、sys 1
B、sys 2
C、both
D、none

2、The transfer function of the system is related to the following factors（）.
A、system input
B、initial conditions
C、system structure and parameters
D、system structure, parameters and initial conditions

3、The characteristic equation of the system is .How many roots in the right-half S plane ?（）
A、0
B、1
C、2
D、3

4、If the static velocity error constant of a system is 0, then the system open-loop transfer function maybe （? ?）.
A、
B、
C、
D、

5、When the roots of the second-order system are on the imaginary axis, the damping ratio of the system ξ is（）
A、ξ<0
B、ξ=0
C、0<ξ<1
D、ξ>1

6、If the open-loop transfer function of a system is . then the abscissa of the intersection of the asymptotes and the angles of asymptotes of root loci are ( ).
A、3，±60°and 180°
B、-3，±60°and 180°
C、3，±90°
D、-3，±90°

7、The polar plots of four systems are show as follow. Which system is unstable（）?
A、
B、
C、
D、

8、The maximum phase-lead angle of the lead compensator can be approached ( ).
A、－90°
B、－45°
C、45°
D、90°

9、The necessary and sufficient condition for the stability of a LTI discrete system in the Z-domain is that all the eigenvalues of the characteristic equation of its pulse transfer function are ( ).
A、located on the left side of imaginary axis
B、located on the right side of imaginary axis
C、located in the unit circle
D、located outside the unit circle

10、The difference equation of a discrete system is . Then the pulse transfer function corresponding to the system is（　）.
A、
B、
C、
D、

finale test 2

1、System dynamic structure block is shown as below. The peak time of the unit-step response of the system is 3s, and the maximum overshoot is 20%. Determine the value of K and a.

2、System dynamic structure block is shown as below. (1) Plot the root loci for the system as the gain varied from 0→+∞；（2）Determine the range of open-loop gain when the system is underdamped；（3）Mark the closed-loop poles with the smallest damping ratio on the root locus. (with s1,s2 ).

3、The open-loop transfer function of the unity-feedback system is （K>0） (1) Draw the Nyquist locus for the system. Using the Nyquist stability criterion, determine the stability of the closed-loop system. (2) Plot the open-loop system log-magnitude curve of Bode diagram with K=10 (draw in asymptotes). (3) Determine the Gain Crossover Frequency and the Phase Margin with K=10 of the system.

4、A discrete System block diagram is shown as below， T=0.2s, input signal is . （1）Determine open-loop pulse transfer function of the system；（2）Determine the closed-loop system stability；（3）Determine the steady-state error of the system.

学习通Automatic Control Theory_1

Automatic Control Theory_1是一门关于自动控制理论的基础课程，主要涉及控制系统的基本概念、控制系统的数学建模方法、常见的控制系统结构和控制器设计方法等内容。

控制系统的基本概念

控制系统是指人工或自然系统中为了实现某种目标而采取的控制行动的过程。一个控制系统一般由被控对象、传感器、执行器、控制器和控制器输入等几个主要部分组成。

被控对象是指控制系统需要对其进行控制的对象，例如温度、水位、压力等。

传感器是指对被控对象的某些特定指标进行检测并将其转化为电信号等形式的装置。

执行器是指执行控制系统输出的控制信号来改变被控对象状态的装置，例如电机、电磁阀等。

控制器是指对传感器传来的信号进行处理，计算出合适的控制信号，以控制执行器完成对被控对象的控制。

控制系统的数学建模方法

控制系统的数学建模方法通常采用传递函数或状态空间的形式进行描述。

传递函数法

传递函数法是指将控制系统表示为输入和输出之间的比例关系，其数学模型可以表示为：

G(s) = Y(s) / U(s)

其中，s是复变量，Y(s)表示输出信号，U(s)表示输入信号。

状态空间法

状态空间法是指将控制系统表示为一个高维的状态向量和输入输出向量之间的关系，其数学模型可以表示为：

x’(t) = Ax(t) + Bu(t)
y(t) = Cx(t) + Du(t)

其中，x(t)表示状态向量，u(t)表示输入向量，y(t)表示输出向量，A、B、C、D是系统参数，'表示时间的导数。

控制系统的常见结构

控制系统的常见结构包括开环控制系统和闭环控制系统。

开环控制系统

开环控制系统是指由输入和被控对象组成的一条路径，没有反馈环节。其特点是简洁、易于实现，但对于被控对象的变化和外界干扰十分敏感，容易产生系统误差。

闭环控制系统

闭环控制系统是指在开环控制系统的基础上增加了一个反馈环节，通过比较被控对象的实际输出值与期望输出值的差异，调整控制器的输出信号，以实现对被控对象状态的准确控制。

闭环控制系统的优点是稳定性好、系统误差小、抗干扰能力强，但也存在一些缺点，例如设计和调试难度较大、延迟较高等问题。

控制器的设计方法

控制器的设计方法通常采用比例-积分-微分（PID）控制器或者状态反馈控制器等。

PID控制器

PID控制器是一种基于被控对象输出与期望值之间误差的大小和变化率来控制输出的控制器。其数学模型可以表示为：

u(t) = Kp * e(t) + Ki * ∫e(t)dt + Kd * de(t)/dt

其中，e(t)表示误差信号，Kp、Ki、Kd分别为比例、积分、微分系数。

状态反馈控制器

状态反馈控制器是指根据被控对象状态向量和期望状态向量之间的误差来计算控制器的输出信号，以实现对被控对象的控制。其数学模型可以表示为：

u(t) = -Kx(t) + Kx_d(t)

其中，K是状态反馈矩阵，x(t)表示被控对象状态向量，x_d(t)表示期望状态向量。

总结

Automatic Control Theory_1是一门重要的自动控制理论基础课程，主要涉及控制系统的基本概念、控制系统的数学建模方法、常见的控制系统结构和控制器设计方法等内容。掌握这门课程的知识，对于学习更高级别的自动控制理论和实践具有重要意义。

中国大学Automatic Control Theory_1

自动控制理论是一门研究控制系统的设计与分析的学科。它通过建立控制系统的数学模型，提出控制系统的特征、性能指标、设计方法和分析技术等方面的理论和方法。

学科特点

自动控制理论是一门具有广泛应用前景的现代科学，应用范围涉及自动化控制、机器人、制造业、电力系统、交通运输、环保、医学等许多领域。其主要特点如下：

跨学科性。自动控制理论是一门涉及多个学科的综合性学科，常常需要借助数学、物理、电气工程、计算机科学等学科的知识来解决实际问题。
理论性与实用性的统一。自动控制理论的发展既注重理论的演绎和证明，也注重实践的应用和验证。
动态性。自动控制系统是一个具有时变性和非线性特性的动态系统，因此，自动控制理论需要充分考虑系统的动态特性。

主要内容

自动控制理论主要包括以下内容：

系统建模。自动控制系统的建模是自动控制理论的基础。它通过对控制系统的物理过程和控制器的数学描述，建立控制系统的数学模型。
系统分析。系统分析旨在研究控制系统的稳定性、性能和响应特性等问题。其中，稳定性是控制系统最基本的性质之一，是控制系统是否能保证输出与参考输入的误差趋近于零的重要保障。
控制器设计。控制器设计是为了实现控制目标而设计的。它包括根据系统模型设计控制器的结构和参数，以及根据实际应用场景设计控制器的自适应性、鲁棒性等性质。
控制算法。控制算法是自动控制理论的核心，它是控制器的实现方法。常用的控制算法有比例积分微分控制器（PID控制器）、模糊控制、神经网络控制等。

研究领域

自动控制理论在研究中的应用领域非常广泛，例如：

计算机网络控制。通过研究控制器设计和控制算法的优化，使得控制系统具有更高的实时性、更好的控制精度和更强的鲁棒性。
机器人控制。通过控制算法的研究和控制器设计，实现机器人的自主导航、姿态控制和运动规划等。
航空航天控制。通过研究控制器设计和控制算法的优化，提高航空航天控制系统的稳定性和控制精度。
电力系统控制。通过研究控制器设计和控制算法的优化，提高电力系统的运行安全性和经济性。

发展趋势

随着科技的不断发展，自动控制理论也在不断进步。未来的发展趋势主要包括以下几个方面：

复杂系统控制。随着现代科技的不断发展，控制系统的复杂性不断增加。因此，未来的自动控制理论需要更好地适应复杂系统的控制需求。
多学科交叉。自动控制理论需要借助更多的学科知识来解决复杂系统的控制问题。
数据驱动控制。随着大数据和人工智能的快速发展，数据驱动控制将成为未来的发展趋势之一。

总结

自动控制理论是一门基础性学科，其研究成果对于现代科技的发展有着重要的意义。在未来的发展中，自动控制理论将不断适应科技的发展需求，为实际应用提供更好的支持和保障。

五煦查题

moocAutomatic Control Theory_1章节答案(慕课2023课后作业答案)

学习通Automatic Control Theory_1

控制系统的基本概念