Automatic Control Advanced Course

7.5 credits

Part 1 Analysis and synthesis based on state space models

• State space models of linear systems. State feedback control and feedback from reconstructed states. Controllability and observability and their relations to state feedback control and feedback from reconstructed states.

• Sampling of linear systems

• Optimal control of linear system, especially the method based on minimization of a quadratic criterion is treated.

Part 2 Analysis of non linear control systems

• A number of stability concepts. Linearization of a system. Phase plane analysis.

• Prediction of the amplitude and frequency of stable periodic solutions using the describing function method.

• Using Lyapunov functions to prove stability of a system. Lyapunov's linearization method.

• Introduktion to the theory of input-output stability, the circle criterion.

Part 3 Laboratory work

• Control of a physical process. State estimation based on data from a physical process.

• Simulation of dynamical systems using programs as Matlab/Simulink, Dymola or 20-sim.

Course Coordinator


Växjö is a modern city with more than 80,000 inhabitants. The city has been declared "the Greenest City in Europe" because of its focus on environmentally sound solutions and the environmental programs implemented.

Being a student in Växjö you have easy access to everything – the city centre, the woods and the lakes. The pedestrian path from campus around Lake Växjösjön reaches almost all the way to the city centre and is perfect for jogging or taking long walks.

Campus Växjö is modeled along the lines of an American campus university and is the natural meeting place for students in Växjö. Campus is always bustling with life, and students move between lecture rooms, the University Library and the restaurants, pubs and outdoor recreational areas.