Entry requirements

60 credits in science/engineering including Single Variable Calculus and Linear Algebra II

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

Content

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).

Instruction

Lectures, problem solving sessions and laboratory work.

Assessment

Written examination at the end of the course. Passed laboratory course is also required.

If there are special reasons for doing so, an examiner may make an exception from the method of assessment indicated and allow a student to be assessed by another method. An example of special reasons might be a certificate regarding special pedagogical support from the disability coordinator of the university.