no code implementations • 30 Mar 2024 • Mohamed Camil Belhadjoudja, Miroslav Krstic, Mohamed Maghenem, Emmanuel Witrant
In particular, we consider some classes of partial differential equations (PDEs) with quadratic convection and counter-convection, for which the L2 norm is a control Lyapunov function (CLF) whose derivative has either a depressed cubic or a quadratic dependence in the boundary control input.
no code implementations • 26 Mar 2024 • Mohamed Camil Belhadjoudja, Miroslav Krstic, Mohamed Maghenem, Emmanuel Witrant
We propose the first generalization of Sontag s universal controller to systems not affine in the control, particularly, to PDEs with boundary actuation.
no code implementations • 26 Mar 2024 • Mohamed Camil Belhadjoudja, Mohamed Maghenem, Emmanuel Witrant, Christophe Prieur
In particular, when the forcing term is null, we guarantee global exponential stability of the origin.
no code implementations • 23 Mar 2024 • Mohamed Camil Belhadjoudja, Miroslav Krstic, Emmanuel Witrant
Moreover, we consider no-slip boundary conditions on the tangential velocity at the top and bottom walls of the channel, and normal velocity actuation at the top and bottom walls.
no code implementations • 1 Aug 2021 • 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.