Tracking control for boundary controlled parabolic PDEs with varying parameters: Combining backstepping and differential flatness

T Meurer, A Kugi - Automatica, 2009 - Elsevier
The combination of backstepping-based state-feedback control and flatness-based
trajectory planning and feedforward control is considered for the design of an exponentially …

Flatness based control of oscillators

P Rouchon - ZAMM‐Journal of Applied Mathematics and …, 2005 - Wiley Online Library
The aim of this paper is to present some recent developments and hints for future
researches in control inspired of flatness‐based ideas. We focus on motion planning …

Tracking control design for a wave equation with dynamic boundary conditions modeling a piezoelectric stack actuator

T Meurer, A Kugi - … Journal of Robust and Nonlinear Control, 2011 - Wiley Online Library
This paper is concerned with the design of an asymptotically stabilizing tracking controller
for an undamped wave equation modeling a piezoelectric stack actuator. For this, flatness …

Fault diagnosis for linear heterodirectional hyperbolic ODE–PDE systems using backstepping-based trajectory planning

F Fischer, J Deutscher - Automatica, 2022 - Elsevier
This paper is concerned with the fault diagnosis problem for general linear heterodirectional
hyperbolic ODE–PDE systems. A systematic solution is presented for additive time-varying …

Control design for quasi-linear hyperbolic systems with an application to the heavy rope

T Knüppel, F Woittennek - IEEE Transactions on Automatic …, 2014 - ieeexplore.ieee.org
This contribution deals with the feed-forward control design for distributed parameter
systems governed by quasi-linear hyperbolic equations. This is achieved in two steps …

Flatness-based tracking control of a piezoactuated Euler–Bernoulli beam with non-collocated output feedback: theory and experiments

T Meurer, D Thull, A Kugi - International Journal of Control, 2008 - Taylor & Francis
This paper considers the combination of flatness-based motion planning and feedforward
control with output feedback to achieve robust tracking of prescribed trajectories for the tip …

Control of a flexible beam actuated by macro-fiber composite patches: I. Modeling and feedforward trajectory control

J Schröck, T Meurer, A Kugi - Smart Materials and Structures, 2010 - iopscience.iop.org
This paper considers a systematic approach for motion planning and feedforward control
design for a flexible cantilever actuated by piezoelectric macro-fiber composite (MFC) …

Feedforward and feedback tracking control of diffusion-convection-reaction systems using summability methods

T Meurer - 2006 - degruyter.com
Diese Einschränkungen können durch die in der Dissertation vorgeschlagene Verwendung
formaler Potenzreihen (FPS) in Kombination mit geeigneten Summierbarkeitsmethoden …

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 …

Controllability of networks of spatially one-dimensional second order PDEs—an algebraic approach

F Woittennek, H Mounier - SIAM Journal on Control and Optimization, 2010 - SIAM
We discuss controllability of systems that are initially given by boundary coupled PDEs of
second order. These systems may be described by modules over particular rings of …