10 citations · 32 across the 11 of their papers we have counts for
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Preconditioned warm-started Newton-Krylov methods for MPC with discontinuous control
Andrew Knyazev, Alexander Malyshev
We present Newton-Krylov methods for efficient numerical solution of optimal control problems arising in model predictive control, where the optimal control is discontinuous. As in…
Least squares dynamics in Newton-Krylov Model Predictive Control
Andrew Knyazev, Alexander Malyshev
Newton-Krylov methods for nonlinear Model Predictive Control are pioneered by T. Ohtsuka under the name "C/GMRES". Ohtsuka eliminates a system state over the horizon from Karush-Ku…
Sparse preconditioning for model predictive control
Andrew Knyazev, Alexander Malyshev
We 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 co…
Preconditioning for continuation model predictive control
Andrew Knyazev, Alexander Malyshev
Model predictive control (MPC) anticipates future events to take appropriate control actions. Nonlinear MPC (NMPC) deals with nonlinear models and/or constraints. A Continuation/GM…
Efficient particle continuation model predictive control
Andrew Knyazev, Alexander Malyshev
Continuation model predictive control (MPC), introduced by T. Ohtsuka in 2004, uses Krylov-Newton approaches to solve MPC optimization and is suitable for nonlinear and minimum tim…
Continuation model predictive control on smooth manifolds
Andrew Knyazev, Alexander Malyshev
Model predictive control (MPC) anticipates future events to take appropriate control actions. Nonlinear MPC (NMPC) describes systems with nonlinear models and/or constraints. Conti…