Advanced Digital Control

Course title

7M991200

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

Can perform simple modeling analysis and state computation (with or without control input) for digital control systems
Can analyze stability, controllability and observability of digital control systems
Can design state feedback (pole assignment and LQR) and observer for digital control systems

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%	-

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

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.

Feedback on exams, assignments, etc.