PDE-based multi-agent formation control using flatness and backstepping: Analysis, design and robot experiments

G Freudenthaler, T Meurer - Automatica, 2020 - Elsevier
A PDE-based control concept is developed to deploy a multi-agent system into desired
formation profiles. The dynamic model is based on a coupled linear, time-variant parabolic …

Boundary time-varying feedbacks for fixed-time stabilization of constant-parameter reaction–diffusion systems

N Espitia, A Polyakov, D Efimov, W Perruquetti - Automatica, 2019 - Elsevier
In this paper, the problem of fixed-time stabilization of constant-parameter reaction–diffusion
partial differential equations by means of continuous boundary time-varying feedbacks is …

Boundary delayed observer-controller design for reaction–diffusion systems

R Katz, E Fridman, A Selivanov - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
We consider delayed boundary stabilization of a one-dimensional reaction-diffusion
equation under boundary delayed measurements. We design an observer-based control …

[HTML][HTML] Neural operators of backstepping controller and observer gain functions for reaction–diffusion PDEs

M Krstic, L Bhan, Y Shi - Automatica, 2024 - Elsevier
Unlike ODEs, whose models involve system matrices and whose controllers involve vector
or matrix gains, PDE models involve functions in those roles—functional coefficients …

Boundary control of coupled reaction-advection-diffusion systems with spatially-varying coefficients

R Vazquez, M Krstic - IEEE Transactions on Automatic Control, 2016 - ieeexplore.ieee.org
Recently, the problem of boundary stabilization for unstable linear constant-coefficient
coupled reaction-diffusion systems was solved by means of the backstepping method. The …

Backstepping design of robust output feedback regulators for boundary controlled parabolic PDEs

J Deutscher - IEEE Transactions on Automatic Control, 2015 - ieeexplore.ieee.org
In this article a backstepping-based solution of the robust output regulation problem for
boundary controlled parabolic PDEs with spatially varying parameters is presented. This is …

Asynchronous boundary control of Markov jump neural networks with diffusion terms

XX Han, KN Wu, Y Niu - IEEE Transactions on Cybernetics, 2022 - ieeexplore.ieee.org
This article concerns with the asynchronous boundary control for a class of Markov jump
reaction-diffusion neural networks (MJRDNNs). In consideration of nonsynchronous …

[图书][B] Extremum seeking through delays and PDEs

TR Oliveira, M Krstic - 2022 - SIAM
The year in which this book appears is the centennial of the 1922 invention, in the context of
maximizing the power transfer to an electric tram car [130], of the method for real-time …

Exponential stabilization of reaction–diffusion systems via intermittent boundary control

XZ Liu, KN Wu, ZT Li - IEEE Transactions on Automatic Control, 2021 - ieeexplore.ieee.org
Exponential stabilization is studied for reaction–diffusion systems (RDSs) with a reaction
term satisfying the global Lipschitz condition by means of intermittent boundary control. First …

Output feedback boundary control of a heat PDE sandwiched between two ODEs

J Wang, M Krstic - IEEE Transactions on Automatic Control, 2019 - ieeexplore.ieee.org
We present designs for exponential stabilization of an ordinary differential equation (ODE)-
heat partial differential equation (PDE)-ODE coupled system where the control actuation …