Control of PDE systems (@TU Vienna)

Regelung verteilt-parametrischer Systeme / Control of PDE systems
V-UE; 3 SWS; ECTS-Points: 4.5
Lecturer: Prof. Dr.-Ing. habil. Thomas Meurer


This lecture gives an introduction to modeling, analysis, control, and numerical simulation of distributed-parameter systems governed by partial differential equations (PDEs). The modeling of processes leads to a distributed-parameter description in terms of PDEs whenever spatial or dispersed-phase effects have to be taken into account. Common examples include flexible structures in mechanics and mechatronics, diffusion-convection-reaction systems in chemical engineering as well as multi-agent systems, adaptive optics, quantum systems, traffic flow, fluid dynamical systems etc. The lecture addresses the following topics:
  • Mathematical modeling and analysis of distributed-parameter systems
  • Analytic and numeric solution techniques
  • State space analysis and control design
  • Backstepping-based state feedback control and observer design
  • Flatness-based trajectory planning and tracking control


The lecture is organized as a block course. Dates and location are announced in TISS


Lecture notes

Lecture notes will appear early June prior to the first block.


Exercises will appear early June prior to the first block.


[1] R. Curtain, H. Zwart (1995) An Introduction to Infinite-Dimensional Linear Systems Theory, Springer-Verlag, New York
[2] M. Krstic, A. Smyshlyaev (2008) Boundary Control of PDEs: A Course on Backstepping Designs, SIAM, Philadelphia
[3] Z. Luo, B. Guo, O. Morgül (1999) Stability and Stabilization of Infinite Dimensional Systems with Applications. Springer- Verlag, London
[4] T. Meurer (2013) Control of Higher-Dimensional PDEs: Flatness and Backstepping Designs, Springer-Verlag, Berlin, Heidelberg
[5] M. Tucsnak, G. Weiss (2009) Observation and Control for Operator Semigroups, Birkhäuser, Basel