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本课程起止时间为:2021-02-22到2021-06-09
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Chapter 1 State Space Model State Space Model

1、 问题:Which is wrong for describing linear transform matrix P
选项:
A:For linear time-invariant system, nonsingular matrix P won’t change system eigenvalues.
B:For linear time-invariant system, nonsingular matrix P won’t change system transfer function.
C:For linear time-invariant system, nonsingular matrix P won’t change system state space model.
D:Nonsingular matrix P is consisting of linearly independent vectors.
答案: 【For linear time-invariant system, nonsingular matrix P won’t change system state space model.

2、 问题:The classical control theory includes
选项:
A:The Routh and Hurwitz stability criteria
B:Nyquist stability analysis
C:Root locus analysis
D:Kalman filter
答案: 【The Routh and Hurwitz stability criteria;
Nyquist stability analysis;
Root locus analysis

3、 问题:Modern control theory can deal with
选项:
A:Multi-input multi-output systems
B:Linear systems
C:Nonlinear systems
D:Time-varying systems
答案: 【Multi-input multi-output systems;
Linear systems;
Nonlinear systems;
Time-varying systems

4、 问题:Transfer function of a system is unique
选项:
A:正确
B:错误
答案: 【正确

5、 问题:Characteristic polynomial of a system is unique
选项:
A:正确
B:错误
答案: 【正确

6、 问题:Every nonsingular system matrix A can be transformed into diagonal form.
选项:
A:正确
B:错误
答案: 【正确

7、 问题:Linear transform matrix P is unique
选项:
A:正确
B:错误
答案: 【错误

8、 问题:The number of state variables is not unique.
选项:
A:正确
B:错误
答案: 【错误

9、 问题:The main problems in modern control theory are
答案: 【stability, feedback control and optimal control

10、 问题:Modern control theory have been applied to
答案: 【rocket, robot, smart grid, quad-rotor, and so on

【作业】Chapter 1 State Space Model State space model

1、 问题:Consider the following differential equationObtain the state-space representation of this system in(a) Controllable canonical form.(b) Observable canonical form.(c) Diagonal canonical form
评分规则: 【 总体上设定状态变量的选择,即可得3分,以下每个小题4分

2、 问题:Consider the following state space model(1)Try to draw the system state block diagram;(2)Obtain the system transfer function
评分规则: 【 画出系统状态结构图即可得5分;求解系统传递函数得10分

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