Backstepping-based distributed abnormality localization for linear parabolic distributed parameter systems
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 …
(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 …
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
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 …
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
Unlike ODEs, whose models involve system matrices and whose controllers involve vector
or matrix gains, PDE models involve functions in those roles—functional coefficients …
or matrix gains, PDE models involve functions in those roles—functional coefficients …
Robust error based non-collocated output tracking control for a heat equation
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 …
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
In this paper, we consider performance output tracking for a boundary controlled one-
dimensional wave equation with possibly unknown internal nonlinear uncertainty and …
dimensional wave equation with possibly unknown internal nonlinear uncertainty and …
Trajectory planning approach to output tracking for a 1-D wave equation
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 …
noncollocated configurations of output tracking through a one-dimensional wave equation …
Output regulation for a heat equation with unknown exosystem
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 …
generated from an unknown finite-dimensional exosystem enter all possible channels. We …
Output feedback boundary control of a heat PDE sandwiched between two ODEs
We present designs for exponential stabilization of an ordinary differential equation (ODE)-
heat partial differential equation (PDE)-ODE coupled system where the control actuation …
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
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 …
the frequency domains is considered. The frequency domain method based on spectral …