Course content

+ First-principle modelling of physical-chemical-biological processes.
+ Transcription into the state-space and linearisation yielding the classical {A,B,C,D} representation: the Linear Time-Invariant System.
- Laplace transform and transfer function matrix. Graphical representation as block diagrams and frequency plots with a focus on Bode plots.
- Stability for LTI systems: eigenvalue / pole criterion, Nyquist and Routh criterion.
- Simple graphical process identification of first-order plus dead-time systems.
- Model simplification starting with higher-order transfer functions.
- SISO pole-placement design yielding variations of PID controllers.
- On-Off control.
- Introduction to computer-controlled systems
- Discrete version of PID with filter and anti-windup.
- Aliasing and filtering.
- Advanced subjects: selection of observability and controllability, similarity transformation, MIMO-systems relative gain array, decoupling, model-predictive control and supervisory control.

Learning outcome

Develop the ability to generate dynamic models of physico-chemical processes and to master the basic control theory.

Learning methods and activities

Lectures, exercises, compulsory computing and laboratory exercises. 60% Final examination. 20% Midterm examination. 20% compulsory exercises and lab-work. The continuation examination may be oral.

Compulsory assignments

• Exercises

Recommended previous knowledge

Basic physics and process technology including differential equations.

Course materials

D.E. Seborg, T.F. Edgar, D.A. Mellichamp: Process Dynamics and Control, Wiley, 2nd ed. 2003. Hand outs.

Credit reductions