Backstepping-based distributed abnormality localization for linear parabolic distributed parameter systems

Y Feng, Y Wang, JW Wang, HX Li - Automatica, 2022 - Elsevier
Abnormality localization for industrial processes described by distributed parameter systems
(DPSs) is vital but seldom studied to the best of our knowledge. In this paper, a systematic …

Finite-time output regulation for linear 2× 2 hyperbolic systems using backstepping

J Deutscher - Automatica, 2017 - Elsevier
This contribution presents the backstepping design of output feedback regulators for
boundary controlled linear 2× 2 hyperbolic systems, that achieve regulation in finite time. It is …

Neural operators for bypassing gain and control computations in pde backstepping

L Bhan, Y Shi, M Krstic - IEEE Transactions on Automatic …, 2023 - ieeexplore.ieee.org
We introduce a framework for eliminating the computation of controller gain functions in PDE
control. We learn the nonlinear operator from the plant parameters to the control gains with a …

[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 …

Robust error based non-collocated output tracking control for a heat equation

BZ Guo, T Meng - Automatica, 2020 - Elsevier
In this paper, an output tracking problem for a heat equation is considered, where all
possible disturbances produced from an exosystem and a systematic uncertainty are …

Performance output tracking for one-dimensional wave equation subject to unmatched general disturbance and non-collocated control

HC Zhou, BZ Guo - European Journal of Control, 2018 - Elsevier
In this paper, we consider performance output tracking for a boundary controlled one-
dimensional wave equation with possibly unknown internal nonlinear uncertainty and …

Trajectory planning approach to output tracking for a 1-D wave equation

H Feng, BZ Guo, XH Wu - IEEE Transactions on Automatic …, 2019 - ieeexplore.ieee.org
In this article, we propose a trajectory planning approach to deal with various of the
noncollocated configurations of output tracking through a one-dimensional wave equation …

Output regulation for a heat equation with unknown exosystem

BZ Guo, RX Zhao - Automatica, 2022 - Elsevier
In this paper, we consider output regulation for a 1-d heat equation where the disturbances
generated from an unknown finite-dimensional exosystem enter all possible channels. We …

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 …

A frequency domain approach to Kalman filtering on Hilbert spaces: Application to Sturm–Liouville systems with pointwise measurement

A Hastir, J Mohet, JJ Winkin - Annual Reviews in Control, 2023 - Elsevier
The problem of optimal state estimation via deterministic Kalman filtering in the time and in
the frequency domains is considered. The frequency domain method based on spectral …