10 papers
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
Boundary controllers have been recently proposed in the literature, via modal decomposition, to achieve stabilization of linear parabolic equations in two and three dimension…
Backstepping Observer for the Quasilinear Heat Equation with Linear Design Gains: Beyond Local Stability
Mohamed Camil Belhadjoudja, Kirsten A. Morris
We consider the one-dimensional quasilinear heat equation with state-dependent heat capacity and thermal conductivity, and design a boundary-output observer based on the backsteppi…
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…