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26 April 2024
 
  » arxiv » 1512.0375

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Sparse preconditioning for model predictive control
Andrew Knyazev ; Alexander Malyshev ;
Date 1 Dec 2015
AbstractWe propose fast O(N) preconditioning, where N is the number of gridpoints on the prediction horizon, for iterative solution of (non)-linear systems appearing in model predictive control methods such as forward-difference Newton-Krylov methods. The Continuation/GMRES method for nonlinear model predictive control, suggested by T. Ohtsuka in 2004, is a specific application of the Newton-Krylov method, which uses the GMRES iterative algorithm to solve a forward difference approximation of the optimality equations on every time step.
Source arXiv, 1512.0375
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