A very nice new interview with Konsta Huhtala in the TEK-magazine on his PhD work on control of thermal fluid flows. The interview (in Finnish) is available here:
New articles online!
[*] Mikko Lehtimäki, Lassi Paunonen, and Marja-Leena Linne. Accelerating Neural ODEs Using Model Order Reduction. IEEE Transactions on Neural Networks and Learning Systems, 2022. [ preprint, journal version (Open Access), preprint (arXiv) ]
[*] Dmytro Baidiuk and Lassi Paunonen. Robustness of polynomial stability of damped wave equations. Journal of Dynamics and Differential Equations, 2022. [ preprint, journal version (Open Access), preprint (arXiv) ]
New! New conference presentation videos have been added to our Youtube channel! Links to all our published video presentations can now be found on the page “Video presentations” (under “Publications”).
The latest additions are the following presentations:
- Lassi Paunonen – Non-uniform Stability of Damped Hyperbolic PDEs (Finnish Mathematical Days 2022)
- Jukka-Pekka Humaloja – Inferring the Adjoint Turnpike Property From The Primal Turnpike Property (IEEE Conference on Control and Decision 2021)
- Konsta Huhtala – Approximate Local Output Regulation for a Class of Nonlinear Fluid Flows (European Control Conference 2021)
- Lassi Paunonen – Reduced Order Robust Output Regulation for Parabolic Systems (SIAM Conference on Control and Its Applications 2021)
New! An introductory video of Lassi and our research group is available:
Links to the arxiv preprints of submitted manuscripts added under “Publications – Journal articles”.
Jukka-Pekka Humaloja successfully defended his PhD thesis “Robust and Model Predictive Control for Boundary Control System” on March 15th, 2019! The full thesis is freely available online at this address.
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.
Current group members:
Nicolas Vanspranghe, Postdoctoral Researcher (email: first.last[a]tuni.fi)
Thavamani Govindaraj, Doctoral Student (email: first.last[a]tuni.fi)
Mikko Lehtimäki, Doctoral Student (email: first.last[a]tuni.fi)
Petteri Laakkonen, University Teacher (email: first.last[a]tuni.fi)
Konsta Huhtala, Doctoral Student (email: first.last[a]tuni.fi)
Jukka-Pekka Humaloja, Doctoral student (2016-2019), Postdoctoral Research Fellow (2019-2021)
Weiwei Liu, Visiting Doctoral Student (from BIT, Beijing, 2019-2020)
Dmytro Baidiuk, Postdoctoral Research Fellow (2018-2020)
Duy Phan, Postdoctoral Research Fellow (2017-2019)
Kristian Asti, MSc student (2019-2020)
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 and this short video overview:
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 Tampere University (TAU) was formed in 2016, and it is led by Assistant Professor Lassi Paunonen. The group was preceded by another research group led by Professor (retired) Seppo Pohjolainen starting from the early 1980’s.
List of completed PhD theses (theses available here):
- Konsta Huhtala, 2022
- Jukka-Pekka Humaloja, 2019
- Petteri Laakkonen, 2013
- Lassi Paunonen, 2011
- Eero Immonen, 2006
- Timo Hämäläinen, 2005