Course title
6M018400,7M9912001
Course content
The course deals with digital control systems, and learn about system modeling (including the transfer from continuous-time to discrete-time), state computation, stability analysis and stabilization, optimal state feedback and observer design. Learn the basic analysis and design of digital control systems, especially when focusing state feedback controller design.

Some discussion may be extended to the case of uncertain systems and LMI based design method. Furthermore, the corresponding simulation and design technique with MATLAB/Simulink software may be introduced.
Purpose of class
The course aims to deliver lectures on the fundamental theory and design method in digital control, which is very important in modern computer-based control. It includes the transformation from continuous-time control systems to discrete-time ones, performance analysis and controller design for discrete-time control systems.
Goals and objectives
1. Can perform simple modeling analysis and state computation (with or without control input) for digital control systems
2. Can analyze stability, controllability and observability of digital control systems
3. Can design state feedback (pole assignment and LQR) and observer for digital control systems
Language
English
Class schedule

Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1． Course introduction and basic knowledge on the area of digital control Review of calculus and linear algebra 190minutes
2． Dynamical control systems, Laplace transform and transfer function Review of calculus, linear algebra and Laplace transform 190minutes
3． Analysis of continuous-time system analysis Review of differential equations, analysis in modern control theory 190minutes
4． Design of continuous-time system analysis Review of differential equations, feedback design in modern control theory 190minutes
5． Z-transform, discrete-time system modelling and transfer function Review of difference equations, iterative calculation 190minutes
6． System stability, Lyapunov stability theory Review basic calculus, matrix eigenvalue and iterative calculation 190minutes
7． Mid-term report and review/exercise Review/exercise and discussion 190minutes
8． Controllability and observability Review of matrix rank in linear algebra 190minutes
9． State feedback: stabilization Review of stability and matrix eigenvalues 190minutes
10． State feedback: pole assignment Review of stability, matrix eigenvalues and polynomials 190minutes
11． Simulation Exercise with MATLAB/Simulink Review of MATLAB programming 190minutes
12． Observer design Review of observability, matrix rank and estimation error equation 190minutes
13． Optimal control Understand the meaning of cost functions, and review of mathematical programming 190minutes
14． Final report and review/exercise Review and exercise of the whole course and discussion 190minutes
Total. - - 2660minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

Mid-term and final reports Total.
1. 30% 30%
2. 30% 30%
3. 40% 40%
Total. 100% -
Evaluation method and criteria
Mid-term report (40%) and final report (60%)

Pass when reaching 60% of the whole evaluation, or in other words, reaching the level of obtaining solutions of simple digital control systems, analyzing system stability, and designing state feedback for stabilization of unstable system.
Textbooks and reference materials
NO textbook. Handouts will be delivered.

Reference:
C. T. Chen: Linear System Theory and Design, Oxford University
Prerequisites
Desirable to have basic knowledge on difference (differential) equation and linear algebra (focusing on matrix theory)
Office hours and How to contact professors for questions
• Monday 12:35--13:05
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
• Course that cultivates an ability for utilizing knowledge
• Course that cultivates a basic problem-solving skills
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 applicable
N/A N/A
Education related SDGs:the Sustainable Development Goals
• 4.QUALITY EDUCATION
• 6.CLEAN WATER AND SANITATION
• 7.AFFORDABLE AND CLEAN ENERGY
• 8.DECENT WORK AND ECONOMIC GROWTH
• 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE
• 10.REDUCED INEQUALITIES
• 12.RESPONSIBLE CONSUMPTION & PRODUCTION
• 16.PEACE, JUSTICE AND STRONG INSTITUTIONS
• 17.PARTNERSHIPS FOR THE GOALS