2 citations · 4 across the 14 of their papers we have counts for
18 papers
Global Exponential Observer for the Quasilinear Diffusion Equation
Mohamed Camil Belhadjoudja, Kirsten Morris
A nonlinear observer is designed for a one-dimensional quasilinear diffusion equation with Neumann boundary conditions, using as an output the state at one end of the spatial domai…
Backstepping Control of Multidimensional Coupled First-Order Hyperbolic PDEs with Collinear Velocities
Mohamed Camil Belhadjoudja
This paper addresses the backstepping boundary stabilization of coupled multidimensional first-order hyperbolic systems. We consider systems whose transport velocity fields are col…
Backstepping Control of First-Order Hyperbolic Equations in Arbitrary Dimensions with Non-Trapping Characteristics
Mohamed Camil Belhadjoudja
This paper presents a backstepping approach for the boundary control of first-order hyperbolic equations with spatially varying coefficients posed on domains of arbitrary dimension…
Spectral Boundary Observer for Counter-Flow Heat Exchangers
Mohamed Camil Belhadjoudja, Mohamed Maghenem, Emmanuel Witrant
We consider a system of two coupled first-order linear hyperbolic partial differential equations modeling heat transport in a counter-flow heat exchanger: one equation describes th…
Stabilization of the -D and -D Heat Equation via Modal Decomposition
Mohamed Amine Ouchdiri, Mohamed-Camil Belhadjoudja, Mohamed Maghenem +2
Modal decomposition has been used recently to achieve boundary stabilization of linear parabolic equations in the norm, in two and three dimensions. In one dimension, e…
Region of Attraction of a Backstepping Observer for the Quasilinear Heat Equation
Mohamed Camil Belhadjoudja, Kirsten A. Morris
It has long been of interest to understand when control and observer-design methodologies developed for linear dynamical systems can provide local guarantees when applied to nonlin…
Backstepping Control of PDEs on Domains with Graph-Monotone Boundaries
Mohamed Camil Belhadjoudja
Despite the extensive body of work on backstepping for one-dimensional PDEs, results in higher dimensions remain comparatively limited. Most available methods either exploit partic…
Stabilization of Quasilinear Parabolic Equations by Cubic Feedback at Boundary with Estimated Region of Attraction
Mohamed Camil Belhadjoudja, M Maghenem, E Witrant +1
For quasilinear parabolic partial differential equations (PDEs) that exhibit finite-time blow up in open loop, i.e., under null boundary conditions, we provide an estimate of the r…
Boundary Control for Wildfire Mitigation
Mohamed Camil Belhadjoudja, Mohamed Maghenem, Emmanuel Witrant +1
In this paper, we propose a feedback control strategy to protect vulnerable areas from wildfires. We consider a system of coupled partial differential equations (PDEs) that models…
Boundary Stabilization of Quasilinear Parabolic PDEs that Blow Up in Open Loop for Arbitrarily Small Initial Conditions
M C Belhadjoudja, M Maghenem, E Witrant +1
We propose a novel framework for stabilization, with an estimate of the region of attraction, of quasilinear parabolic partial differential equations (PDEs) that exhibit finite-tim…
Inverse Optimal Cardano-Lyapunov Feedback for PDEs with Convection
Mohamed Camil Belhadjoudja, Miroslav Krstic, Mohamed Maghenem +1
We consider the problem of inverse optimal control design for systems that are not affine in the control. In particular, we consider some classes of partial differential equations…
From Sontag s to Cardano-Lyapunov Formula for Systems Not Affine in the Control: Convection-Enabled PDE Stabilization
Mohamed Camil Belhadjoudja, Miroslav Krstic, Mohamed Maghenem +1
We propose the first generalization of Sontag s universal controller to systems not affine in the control, particularly, to PDEs with boundary actuation. We assume that the system…
Adaptive Boundary Control of the Kuramoto-Sivashinsky Equation Under Intermittent Sensing
Mohamed Camil Belhadjoudja, Mohamed Maghenem, Emmanuel Witrant +1
We study in this paper boundary stabilization, in the L2 sense, of the perturbed Kuramoto-Sivashinsky (KS) equation subject to intermittent sensing. We assume that we measure the s…
Convection-Enabled Boundary Control of a 2D Channel Flow
Mohamed Camil Belhadjoudja, Miroslav Krstic, Emmanuel Witrant
Nonlinear convection, the source of turbulence in fluid flows, may hold the key to stabilizing turbulence by solving a specific cubic polynomial equation. We consider the incompres…
On the Intelligent Proportional Controller Applied to Linear Systems
Mohamed Camil Belhadjoudja, Mohamed Maghenem, Emmanuel Witrant
We analyze in this paper the effect of the well known intelligent proportional controller on the stability of linear control systems. Inspired by the literature on neutral time del…
Geometric Control of a Robot's Tool
Anis Bousclet, Mohamed Camil Belhadjoudja
The goal of this paper is to present a rigorous and intrinsic formulation of a Riemannian PD-regulator of the robot's tool, The first one is based upon the Lasalle's invariance pri…
Chaos Synchronization using Nonlinear Observers with applications to Cryptography
Mohamed Camil Belhadjoudja
The goal of this survey paper is to provide an introduction to chaos synchronization using nonlinear observers and its applications in cryptography. I start with an overview of cry…
Fuzzy-based Higher Adaptive Order Sliding Mode Observers
Mohamed Camil Belhadjoudja
In this article, I introduce the notion of Fuzzy-based Higher adaptive order sliding mode observers through the example of the super-twisting adaptive order sliding mode observer.…