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5 papers · 2 filters
Optimal Control of H-Mode Tokamak Plasma Temperature based on Pontryagin's Principle
Slim Jmal, Matteo Tacchi-Bénard, Emmanuel Witrant
This paper studies the decay of an objective functional using a new control technique within Pontryagin's framework. Convergence analysis is carried out on the infinite-dimensional…
Boundary output feedback stabilization of a cascade of N heat equations
Hugo Lhachemi, Christophe Prieur, Emmanuel Trélat
This paper solves the problem of output feedback stabilization for a cascade of N heat equations that are coupled at the boundary, the input being a scalar boundary control applied…
Boundary control of heat-heat cascades
Hugo Lhachemi, Christophe Prieur, Emmanuel Trélat
This paper addresses the problem of feedback stabilization of a cascade of two heat equations that are coupled in the boundary conditions, the input being a boundary control for th…
Controllability and Stabilization of a Wave-Heat Cascade System
Hugo Lhachemi, Christophe Prieur, Emmanuel Trélat
Considering a wave-reaction-diffusion PDE cascade system with wave Neumann control, we first establish controllability properties in a suitable Hilbert space depending on the coupl…
Probabilistic Reachable Set Estimation for Saturated Systems with Unbounded Additive Disturbances
Carlo Karam, Matteo Tacchi-Bénard, Mirko Fiacchini
In this paper, we present an analytical approach for the synthesis of ellipsoidal probabilistic reachable sets of saturated systems subject to unbounded additive noise. Using conve…