Call for participation

This is a one-day interactive course on model-based observer design. The aim is to determine which states and parameters of an observer model can be estimated with reasonable accuracy from available measurements. This can be established using observability theory. Once observability is established, development of Kalman filters will be discussed to estimate the unknown states and parameters. The grinding mill from the mineral processing industry will be used as the main illustrative example. At the end of the event, attendees will be equipped to assess the observability of the states and parameters of a process model, and apply an Extended Kalman Filter to estimate the unknowns.

The course will be presented by Dr Derik le Roux, a lecturer at the University of Pretoria.
Contact him at for further information regarding the course.

The course is accredited for 1 CPD point: SAIEE-1813-V

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Who should attend

The course is intended for practitioners and academics involved with model-based design and implementation of observers. The course will have a strong theoretical component, but with adequate examples and problems.


A background knowledge of linear system theory, state-space models and linear algebra is recommended. The course will be held in a computer laboratory. Application examples will be presented in Matlab on the computers. The Matlab code will be made available.

(If you have a personal computer with Matlab installed, you are welcome to bring it along.)


11 May 2018

08:00 – 8:30 Registration (Tea/Coffee)

Session 1: Background

  • Discretisation of Non-linear and Linear systems
  • Eigenvalues and Eigenvectors Lie Derivatives

Session 2: Observability Theory (1)

  • Non-linear Observability
  • Examples

10:00 –10:15 Tea Break

Session 3: Observability Theory (2)

  • Linear Observability
  • Kalman Decomposition
  • Examples

12:15–13:00 Lunch Break

Session 3: Kalman Filters (1)

  • Extended Kalman Filter
  • Unscented Kalman Filter

14:30 – 14:45 Tea Break

Session 4: Kalman Filters (2)

  • Examples

16:30 Closing and Evaluation

Course fees

SACAC members: R 2500
Non-members: R 3800
Bona Fide Students: R 1200

Fees include a manual, tea/coffee and a light lunch.


The course will be presented at Stellenbosch University.
The exact venue will be confirmed at a later date.

Enquiries & Registration

Please email the followings details to:

Keri Caitlin Garland
Tel. (011) 021-8196

SACAC Member: Yes/No
Contact Number

An invoice will be sent via email.