Boundary control of coupled reaction–diffusion processes with constant parameters

A Baccoli, A Pisano, Y Orlov - Automatica, 2015 - Elsevier
The problem of boundary stabilization is considered for some classes of coupled parabolic
linear PDEs of the reaction–diffusion type. With reference to n coupled equations, each one …

D-type anticipatory iterative learning control for a class of inhomogeneous heat equations

D Huang, JX Xu, X Li, C Xu, M Yu - Automatica, 2013 - Elsevier
In this paper, a D-type anticipatory iterative learning control (ILC) scheme is applied to the
boundary control of a class of inhomogeneous heat equations, where the heat flux at one …

Output feedback stabilization for one-dimensional wave equation subject to boundary disturbance

BZ Guo, FF Jin - IEEE Transactions on Automatic control, 2014 - ieeexplore.ieee.org
We consider boundary output feedback stabilization for a one-dimensional anti-stable wave
equation subject to general control matched disturbance. The active disturbance rejection …

Consensus-based control for a network of diffusion PDEs with boundary local interaction

A Pilloni, A Pisano, Y Orlov… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
In this technical note the problem of driving the state of a network of identical agents,
modeled by boundary-controlled heat equations, towards a common steady-state profile is …

Sliding mode control and active disturbance rejection control to the stabilization of one‐dimensional Schrödinger equation subject to boundary control matched …

BZ Guo, JJ Liu - International Journal of Robust and Nonlinear …, 2014 - Wiley Online Library
In this paper, we are concerned with the boundary stabilization of a one‐dimensional anti‐
stable Schrödinger equation subject to boundary control matched disturbance. We apply …

On the ISS properties of a class of parabolic DPS'with discontinuous control using sampled-in-space sensing and actuation

A Pisano, Y Orlov - Automatica, 2017 - Elsevier
A reaction–diffusion–advection equation with uncertain parameters, and additionally subject
to disturbances of both matched and mismatched nature, is considered. It is assumed that …

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 …

Output feedback stabilization of coupled reaction-diffusion processes with constant parameters

Y Orlov, A Pisano, A Pilloni, E Usai - SIAM Journal on Control and …, 2017 - SIAM
The problem of output feedback boundary stabilization is considered for n coupled plants,
distributed over the one-dimensional spatial domain 0, 1 where they are governed by linear …

Dynamic fuzzy boundary output feedback control for nonlinear delayed parabolic partial differential equation systems under noncollocated boundary measurement

ZP Wang, X Zhang, HN Wu, M Chadli… - … on Fuzzy Systems, 2022 - ieeexplore.ieee.org
For nonlinear space-varying parabolic partial differential equation systems (PPDESs) with
random time-varying delay, this article introduces a dynamic fuzzy boundary output …

Stabilization of a microbeam model with distributed disturbance

G Arias - Systems & Control Letters, 2023 - Elsevier
In this paper we address the problem of internal stabilization of the deflection of a clamped
microbeam, which is modeled by a sixth-order hyperbolic equation subjected to an unknown …