Control of Higher–Dimensional PDEs Flatness and Backstepping Designs /

• Main Author: Meurer, Thomas (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Series: Communications and Control Engineering,
• Subjects: Engineering.; System theory.; Control engineering.; Control.; Systems Theory, Control.

This monograph presents new model-based design methods for trajectory planning, feedback stabilization, state estimation, and tracking control of distributed-parameter systems governed by partial differential equations (PDEs). Flatness and backstepping techniques and their generalization to PDEs wit...

Table of Contents:

• Model equations for multi–agent networks
• Model equations for flexible structures with piezoelectric actuation
• Mathematical problem formulation
• Spectral approach for time–invariant systems with general spatial domain
• Formal integration approach for time varying systems
• Backstepping for linear diffusion–convection–reaction systems with varying parameters on 1–dimensional domains
• Backstepping for linear diffusion–convection–reaction systems with varying parameters on parallelepiped domains.