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

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[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