[ 481VRTRRVSU22 ] UE Control of Distributed-Parameter Systems

Workload Education level Study areas Responsible person Hours per week Coordinating university
1,5 ECTS M - Master's programme Mechatronics Kurt Schlacher 1 hpw Johannes Kepler University Linz
Detailed information
Original study plan Master's programme Mechatronics 2022W
Objectives Upon completion of the course, student are able

  • to comprehend the modeling of distributed parameter systems,
  • to solve linear partial differential equations with constant coefficients,
  • to analyze basic properties of the system classes considered,
  • to design feedforward and feedback controllers for time-delay systems and simple linear partial differential equations, and
  • to transfer methods discussed only for select examples to problems of comparable complexity.

The level of the mathematical methods used to describe the dynamic systems, to design the control laws and to synthesize the control circuits corresponds roughly to that in the textbooks D. Franke, Systeme mit verteilten Parametern, Springer Verlag, 1987; J. Rudolph, Flatness Based Control of Distributed Parameter Systems, Shaker Verlag, 2003; M. Krstic und A. Smyshlyaev, Boundary Control of PDEs, SIAM, 2008; E.C. Zachmanoglou und D.W. Thoe, Introduction to Partial Differential Equations with Applications, Dover Publications, 1986.

Subject The course focuses on a class of systems, the quantities of which not only depend on time but on a spatial variable and that can be modeled by linear hyperbolic and parabolic partial differential equations. The course gives a first introduction to the analysis and control of this class of systems:

  • modeling
  • solution (including method of characteristics)
  • system analysis (including transfer behavior and stability)
  • delay systems (system analysis, feedforward and feedback control)
  • control (flatness-based feedforward design, backstepping)
Criteria for evaluation Written test or homework
Methods Blackboard presentation
Language German
Study material JKU KUSSS and/or Moodle
Changing subject? No
On-site course
Maximum number of participants 35
Assignment procedure Assignment according to sequence