Course title
Topics in Mathematical Control

zhai guisheng
Course content
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.
Purpose of class
Basic on digital control systems modeling, analysis and design
Goals and objectives
  1. Can understand modelling, state computation of discrete-time (DT) systems
  2. Can understand stability, controllability and observability of DT systems
  3. Can understand stabilizing and optimal state feedback design of DT systems
Class schedule

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
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
Active-learning course
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 : Sat Mar 21 14:19:36 JST 2020