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 …

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 …

Null controllability of the heat equation using flatness

P Martin, L Rosier, P Rouchon - Automatica, 2014 - Elsevier
We derive in a direct and rather straightforward way the null controllability of the N-
dimensional heat equation in a bounded cylinder with boundary control at one end of the …

Tracking controllability for the heat equation

JA Bárcena-Petisco, E Zuazua - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
We study the tracking or sidewise controllability of the heat equation. More precisely, we
seek for controls that, acting on part of the boundary of the domain where the heat process …

Flatness-based algebraic fault diagnosis for distributed-parameter systems

F Fischer, J Deutscher - Automatica, 2020 - Elsevier
This paper presents a flatness-based approach to the fault diagnosis for a large class of
parabolic and biharmonic distributed-parameter systems (DPS). The inputs, outputs and …

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 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 …

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 …