Our research group has a new Youtube channel! At the moment it does not yet have much content, but our aim is to keep adding material related to the results and practical applications of our theory, as well as introductory videos related to our field.
Duy Phan-Duc, Postdoctoral Research Fellow (email: first.last[a]tut.fi)
Dmytro Baidiuk, Postdoctoral Research Fellow (email: first.last[a]tut.fi)
Jukka-Pekka Humaloja, Doctoral Student (email: first.last[a]tut.fi)
Konsta Huhtala, Doctoral Student (email: first.last[a]tut.fi)
Petteri Laakkonen, University Teacher (email: first.last[a]tut.fi)
Main Research Interests
The main research interest of the group are the robust control of linear partial differential equations and infinite-dimensional systems, and the practical engineering applications of the theory. You can find an introduction in a poster form here!
Mathematical systems theory studies the behaviour and properties of dynamical models that are described by ordinary and partial differential equations, as well as other models with dynamical behaviour. Such dynamical systems arise from modelling phenomena that are encountered in engineering applications and in the nature.
Some concrete examples of control problems can also be found in these introductory slides.
Mathematical control theory concentrates on influencing the behaviour of such dynamical models to either improve the properties of the system or to drive the system into a desirable trajectory.
Mathematical systems theory is used in, for example,
- Trajectory control for unmanned vehicles, such as quadrocopters
- Automatic control of driverless cars
- Rejection of disturbances in industrial processes and acoustics
- Removal of unwanted vibrations in buildings and in machinery
The main research area of the Systems Theory Research Group at TUT is the control of models involving partial differential equations and infinite-dimensional systems.
This class of models facilitates the control of processes involving, in particular,
- Heat diffusion and material flows
- Vibrations and wave phenomena
- Elastic deformations and bending
Key points of interest of the research group:
- Theory of distributed parameter systems
- Robust output regulation and the Internal Model Principle
- Tracking and rejection of nonsmooth periodic signals
- Semigroup theory and asymptotic behaviour of linear partial differential equations
The Systems Theory Research Group at TUT was formed in early 1980’s by Professor (retired) Seppo Pohjolainen. Since 2016 it has been led by Assistant Professor Lassi Paunonen.
List of completed PhD theses (theses available here):
- Petteri Laakkonen, 2013
- Lassi Paunonen, 2011
- Eero Immonen, 2006
- Timo Hämäläinen, 2005