6M014000
,7M101000
1 Topics in Mathematical Control
Lecture focusing on basic modelling, state behavior, stability analysis, controllability and observability, stabilizing and
optimal state feedback, and observer (estimator) design of discrete-time linear systems.
Basic on digital control systems modeling, analysis and design
- Can understand modelling, state computation of discrete-time (DT) systems
- Can understand stability, controllability and observability of DT systems
- Can understand stabilizing and optimal state feedback design of DT systems
|
Class schedule |
HW assignments (Including preparation and review of the class.) |
Amount of Time Required |
1. |
Course introduction and basic knowledge on modern control |
Review of system modeling |
190minutes |
2. |
Z-transform, system modelling and transfer function |
Review of Z-transform and its properties |
190minutes |
3. |
System stability, Lyapunov stability theory |
Review of basic concept of convergence if system states |
190minutes |
4. |
Controllability and Mid-term exam |
Review of matrix rank and prepare for mid-exam |
190minutes |
5. |
State Feedback: stabilization and pole-assignment |
Review of stability and matrix eigenvalues |
190minutes |
6. |
Optimal control of DT |
Consider the meaning of cost functions and Riccati equations |
190minutes |
7. |
Final exam and overview |
Review of the whole course |
190minutes |
8. |
- |
- |
0minutes |
9. |
- |
- |
0minutes |
10. |
- |
- |
0minutes |
11. |
- |
- |
0minutes |
12. |
- |
- |
0minutes |
13. |
- |
- |
0minutes |
14. |
- |
- |
0minutes |
Total. |
- |
- |
1330minutes |
Relationship between 'Goals and Objectives' and 'Course Outcomes'
|
Exams |
Total. |
1. |
40% |
40% |
2. |
30% |
30% |
3. |
30% |
30% |
Total. |
100% |
- |
Evaluation method and criteria
Mid-term exam (40%) and final exam (60%)
Textbooks and reference materials
Handouts
Basic knowledge on difference (differential) equation and matrices
Office hours and How to contact professors for questions
- whenever the instructor is available; For example, 12:30--13:00 Monday
Non-regionally-oriented course
Development of social and professional independence
- Course that cultivates an ability for utilizing knowledge
More than one class is interactive
Course by professor with work experience
Work experience |
Work experience and relevance to the course content if applicatable |
N/A |
該当しない |
Education related SDGs:the Sustainable Development Goals
Last modified : Wed May 20 04:14:24 JST 2020