Flatness-based boundary control of a class of quasilinear parabolic distributed parameter systems

AF Lynch, J Rudolph - International Journal of Control, 2002 - Taylor & Francis
Motion planning and control of a boundary controlled quasilinear parabolic partial
differential equation in one spatial variable is considered. The approach relies on a flatness …

Flatness-based trajectory planning for diffusion–reaction systems in a parallelepipedon—A spectral approach

T Meurer - Automatica, 2011 - Elsevier
Spectral analysis is considered for the flatness-based solution of the trajectory planning
problem for a boundary controlled diffusion–reaction system defined on a 1≤ r-dimensional …

Motion planning and open loop control design for linear distributed parameter systems with lumped controls

J Rudolph, F Woittennek - International Journal of Control, 2008 - Taylor & Francis
Motion planning and open loop boundary control schemes for linear spatially one
dimensional distributed parameter systems with lumped control are discussed. Using …

Model-based piezoelectric hysteresis and creep compensation for highly-dynamic feedforward rest-to-rest motion control of piezoelectrically actuated flexible …

L Gaul, J Becker - International Journal of Engineering Science, 2009 - Elsevier
A model-based approach is proposed for the compensation of the piezoelectric hysteresis
and creep effects in a feedforward control design for piezoelectric structures. The designed …

Motion planning for a class of boundary controlled linear hyperbolic PDE's involving finite distributed delays

F Woittennek, J Rudolph - ESAIM: Control, Optimisation and …, 2003 - cambridge.org
Motion planning and boundary control for a class of linear PDEs with constant coefficients is
presented. With the proposed method transitions from rest to rest can be achieved in a …

Flatness-based control of a horizontally moving erected beam with a point mass

M Bachmayer, H Ulbrich, J Rudolph - Mathematical and Computer …, 2011 - Taylor & Francis
A mechanism consisting of a horizontally moving cart that carries an erected flexible beam
with a point mass–as occurring in placement machines or stacker cranes–is considered. An …

Feedforward tracking control for non‐uniform Timoshenko beam models: combining differential flatness, modal analysis, and FEM

J Becker, T Meurer - ZAMM‐Journal of Applied Mathematics …, 2007 - Wiley Online Library
This paper considers the feedforward tracking control problem for flexible structures with
spatially varying geometrical and material parameters. The design approach is illustrated for …

Flatness-based control of a flexible beam in a gravitational field

AF Lynch, D Wang - Proceedings of the 2004 American Control …, 2004 - ieeexplore.ieee.org
This paper considers a flatness-based boundary control of a hub-beam system with tip
payload moving in a vertical plane in the presence of gravity. The homogeneous flexible …

A modal approach to flatness‐based control of flexible structures

T Meurer, M Zeitz - PAMM: Proceedings in Applied …, 2004 - Wiley Online Library
Modal coordinates are used to construct a state and input parameterizing flat output for
flexible structures and to design open‐loop controls. This is illustrated for the boundary …

Flachheitsbasierte Randsteuerung von elastischen Balken mit Piezoaktuatoren (Flatness based Boundary Control of Piezoelectric Benders)

J Rudolph, F Woittennek - 2002 - degruyter.com
Für elastische Balken mit Piezoaktuatoren werden flachheitsbasierte Randsteuerungen
entworfen, die eine Positionierung in endlicher Einstellzeit gestatten. Dabei werden sowohl …