On the semi-global stabilizability of the Korteweg-de Vries Equation via model predictive control
ESAIM: Control, Optimisation and Calculus of Variations, Tome 24 (2018) no. 1, pp. 237-263.

Stabilization of the nonlinear Korteweg-de Vries (KdV) equation on a bounded interval by model predictive control (MPC) is investigated. This MPC strategy does not need any terminal cost or terminal constraint to guarantee the stability. The semi-global stabilizability is the key condition. Based on this condition, the suboptimality and exponential stability of the model predictive control are investigated. Finally, numerical experiment is presented which validates the theoretical results.

Reçu le :
Accepté le :
DOI : 10.1051/cocv/2017001
Classification : 49N35, 93C20, 93D20
Mots-clés : Receding horizon control, model predictive control, asymptotic stability, infinite-dimensional systems
Azmi, Behzad 1 ; Boulanger, Anne-Céline 1 ; Kunisch, Karl 1

1 
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Azmi, Behzad; Boulanger, Anne-Céline; Kunisch, Karl. On the semi-global stabilizability of the Korteweg-de Vries Equation via model predictive control. ESAIM: Control, Optimisation and Calculus of Variations, Tome 24 (2018) no. 1, pp. 237-263. doi : 10.1051/cocv/2017001. http://www.numdam.org/articles/10.1051/cocv/2017001/

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