Einladung zum Vortrag im Kolloquium Technische Kybernetik
Feedforward and Feedback Tracking Control of Nonlinear Diffusion-Convection-Reaction Systems using Summability Methods
Dipl.-Ing./M.S. Thomas Meurer
Institut für Systemdynamik und Regelungstechnik
Zeit: Dienstag · 29. 06. 2004 · 16:00 Uhr
Ort: Raum V 9.31 · Pfaffenwaldring 9 · Campus Stuttgart-Vaihingen
Typical process control tasks include finite-time transitions between operating points e.g. while startup, load changes, or shutdown of chemical engineering processes or during positioning tasks (rest-to-rest motion) in robotics. For their realization, several concepts are available, among those the two-degree-of-freedom approach consisting of a feedforward control to achieve a desired tracking behavior and a feedback control to stabilize the system. In this context, the concept of differential flatness has proven to be a powerful method for system analysis and control design.
Modeling of processes leads to a distributed-parameter description by partial differential equations (PDEs), if spatially distributed effects have to be taken into account. As a consequence, feedforward control design for these systems requires the inversion of an infinite-dimensional model. For certain classes of boundary controlled PDEs, formal power series approaches allow the parameterization of system states and inputs by so-called parameterizing functions (similar to flat outputs) and their time-derivatives up to infinite order. The necessary proof of convergency can be re-formulated as a motion planning problem. In addition using appropriate summation techniques, the applicability of the formal power series approach can be greatly increased, whereby also divergent series can be used for the solution of the control problem under certain conditions. Moreover, the open-loop approach was extended to flatness-based feedback tracking control design with observer.
In the talk, motion planning, feedforward and feedback tracking control design for using formal power series and appropriate summation methods are presented for nonlinear diffusion-convection-reaction equations modeling tubular reactors with boundary input.
Thomas Meurer graduated in “Chemical Engineering” from the University of Stuttgart in 2001. He received an M.S. in “Engineering Science and Mechanics” from the Georgia Institute of Technology, Atlanta (USA) in 2000, where he was awarded with the “Sigma-Xi Best Master Thesis Award”. Since 2001, he is a research assistant at the “Institut für Systemdynamik und Regelungstechnik” at the University of Stuttgart. His main research interest are in the area of feedforward and feedback control of distributed parameter systems, nonlinear control theory, wave propagation, and computer algebra systems.