Dynamics of Distributed Parameter Systems

Learning objectives and acquired competences:

Upon completion of the modul, student are able

to comprehend the modeling of distributed parameter systems,
to solve linear partial differential equations with constant coefficients,
to analyze basic properties of the system classes considered, and
to design feed-forward and feedback controllers for time delay systems and simple linear partial differential equations.

Contents:
The course focuses on a class of systems, whose quantities not only depend on time but on a spatial variable as well. These infinite-dimensional or distributed parameter systems are represented using partial differential equations. The course discusses different technological application examples (such as a heat exchanger,
a pipe reactor or a flexible robot arm) in order to give a first introduction in the analysis and control of this class of systems:

Modeling of distributed parameter systems
Solution and stability analysis of distributed parameter systems
Flatness-based control design
Backstepping control of distributed parameter systems