Introduction to Computer Control Systems

First-cycle course, Department of Information Technology, Uppsala University, 1900

Spring 2024 (with Fabio Bonassi and Daniel Arnström), Spring 2023 (with Niklas Wahlström and Carl Andersson), Spring 2022 (with Dave Zachariah)

About the course

System models: State-space forms and the solution of the state-space equation in discrete and continuous time. Sampling. Transfer functions and transfer operators. Model transformations from transfer functions to state-space models and vice versa.

System properties: Controllability and observability. Static gain. Step and impulse responses in discrete and continuous time. Frequency domain properties (connection to sampling). Stability in discrete and continuous time; asymptotic stability, bounded-input bounded-output stability, the Nyquist criterion.

Controller design: Pole placement in state-space form. State feedback with observer. PID controllers. Stability margins. Sensitivity functions. The notion of robustness. Computer implementation (sampling, aliasing).

Learning outcomes

On completion of the course, the student should be able to:

define basic concepts in automatic control

determine relations between different model representations

analyse linear time-invariant systems with respect to relevant properties

design and implement simple controllers