2 citations · 4 across the 14 of their papers we have counts for
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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…
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…
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…
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.…