Courses

Control of distributed parametric systems

The course "Control of Distributed Parametric Systems" is offered by Prof. Thomas Meurer in the summer semester as a block course at TU Wien.

Contents

This module provides an introduction to the modeling, analysis, control and numerical simulation of distributed parametric systems described by partial differential equations (PDEs). The modeling of processes leads to a distributed-parametric description in the form of PDEs, when spatial or property-distributed effects must be considered in addition to temporal dynamics. Examples include diffusion-convection-reaction systems in process engineering, flexible structures in mechanics and mechatronics, coupled multi-agent systems in robotics, or quantum mechanical and fluid dynamic systems. The module covers the following topics:

  • Introduction to controlled systems with distributed parameters (mathematical modeling, classification, solution methods, basic principles of control and observer design)

  • Analysis and synthesis in the frequency domain (input-output stability, output feedback)

  • Analysis and synthesis in the state space (controllability and observability, stability theory for distributed parametric systems, control design by state feedback, backstepping)

  • Flatness-based methods for trajectory planning and follow-up control

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