Control of PDE Systems (etit-601)

Regelung verteilt-parametrischer Systeme / Introduction to the control of distributed-parameter systems
V-UE; 3 SWS; ECTS-Points: 4
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



See UnivIS (lecture ID 080065) and UnivIS (lecture ID 080243). The lecture will be organized as a block course. Dates and location will be fixed at a preliminary meeting whose date will be announced here. Students interested in the course should send an email until April 30th, 2016 to

The course will take place Sep. 8th, Sep. 9th and Sep. 12-14th from 8:00 am to 6:00 pm in the room KS2/Geb. F - SR-III



Lecture notes

Full set for SS 16


Full set for SS 16



[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