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

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

Predictive control of parabolic PDEs with boundary control actuation

S Dubljevic, PD Christofides - Chemical Engineering Science, 2006 - Elsevier
This work focuses on predictive control of linear parabolic partial differential equations
(PDEs) with boundary control actuation subject to input and state constraints. Under the …

Finite-time multi-agent deployment: A nonlinear PDE motion planning approach

T Meurer, M Krstic - Automatica, 2011 - Elsevier
The systematic flatness-based motion planning using formal power series and suitable
summability methods is considered for the finite-time deployment of multi-agent systems into …

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 …

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 …

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 …

Backstep** Control of a Class of Space-Time-Varying Linear Parabolic PDEs via Time Invariant Kernel Functions

Q Chen, J Zheng, G Zhu - SIAM Journal on Control and Optimization, 2024 - SIAM
This paper aims at addressing the problem of exponential stabilization and continuous
dependence of solutions on initial data for a class of 1-D linear parabolic PDEs with space …

Toward model-based control of the vertical gradient freeze crystal growth process

S Ecklebe, F Woittennek… - … on Control Systems …, 2021 - ieeexplore.ieee.org
In this contribution, tracking control designs using output feedback are presented for a two-
phase Stefan problem (SP) arising in the modeling of the vertical gradient freeze process …

Trajectory planning for boundary controlled parabolic PDEs with varying parameters on higher-dimensional spatial domains

T Meurer, A Kugi - IEEE Transactions on Automatic Control, 2009 - ieeexplore.ieee.org
The flatness-based design of a feedforward tracking control is considered for the solution of
the trajectory planning problem for a boundary controlled diffusion-convection-reaction …

Control of a flexible beam actuated by macro-fiber composite patches: I. Modeling andfeedforward 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) …