Digital Control Systems
Overall Course Objectives
To provide students with skills to analyze, design and implement discrete PID-controllers for technical systems. The course includes theory and exercises, weekly problems’ sets, which include design, simulation and implementation of PID-controllers, using also MATLAB and SIMULINK.
See course description in Danish
Learning Objectives
- Make solutions to differential equations with Laplace transformation .
- Describe models for dynamical systems as transfer functions and block diagrams.
- Use and reduce block diagrams for open- and closed-loop feedback systems.
- Perform sampling and reconstruction of signals.
- Determine characteristic parameters for 1st and 2nd order systems
- Make analysis of continuous and discrete transfer functions of open- and closed-loop feedback systems.
- Carry out stability analysis of closed-loop control systems in s- and z- domains.
- Analyze and select standard compensators (PID).
- Design discrete PID-controllers.
- Use MATLAB and SIMULINK to analyze, calculate and simulate control systems
Course Content
Fundamental concepts in control systems with feedback. Differential equations, Laplace transformation and transfer functions. Development and reduction of block diagrams for continuous and discrete control systems. Time- and frequency- analysis, continuous and discrete. Stability analysis. Basic design methods for PID-controllers. The theory and methods reviewed are supported by many practical examples and exercises in MATLAB and SIMULINK.
Recommended prerequisites
01901/62525, Calculus and algebra 1
Signal Analysis
Teaching Method
A mixture of classroom lectures and problem solving work, partly based on MATLAB and SIMULINK as the simulation tool.
Faculty
Remarks
Section of AI, Mathematics and Software
IT-Elektronik: 4. semester
This course contributes to gaining knowledge for optimizing and regulating the use of resources and energy, reducing waste and emissions, and improving the efficiency of systems and processes, which all are part of sustainability (SDGs) strategies.