Title
On the Stabilizability of the Burgers Equation by Receding Horizon Control.
Abstract
A receding horizon framework for stabilization of a class of infinite-dimensional controlled systems is presented. No terminal costs or constraints are used to ensure asymptotic stability of the controlled system. The key assumption is a stabilizability assumption, which can be guaranteed, for example, for the Burgers equations with periodic and with homogeneous Neumann boundary conditions. Numerical experiments validate the theoretical results. Comparisons to the case with terminal penalties acting as control Lyapunov functions are included.
Year
DOI
Venue
2016
10.1137/15M1030352
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
Keywords
Field
DocType
receding horizon control,model predictive control,asymptotic stability,infinite-dimensional systems
Lyapunov function,Mathematical optimization,Homogeneous,Mathematical analysis,Horizon,Model predictive control,Burgers' equation,Exponential stability,Neumann boundary condition,Periodic graph (geometry),Mathematics
Journal
Volume
Issue
ISSN
54
3
0363-0129
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Behzad Azmi101.69
Karl Kunisch21370145.58