Inexact Newton based Lifted Implicit Integrators for fast Nonlinear MPC
Paper i proceeding, 2015

Nonlinear Model Predictive Control (NMPC) requires the online solution of an Optimal Control Problem (OCP) at every sampling instant. In the context of multiple shooting, a numerical integration is needed to discretize the continuous time dynamics. For stiff, implicitly defined or differential-algebraic systems, implicit schemes are preferred to carry out the integration. The Newton-type optimization method and the implicit integrator then form a nested Newton scheme, solving the optimization and integration problem on two different levels. In recent research, an exact lifting technique was proposed to improve the computational efficiency of the latter framework. Inspired by that work, this paper presents a novel class of lifted implicit integrators, using an inexact Newton method. An additional iterative scheme for computing the sensitivities is proposed, which provides similar properties as the exact lifted integrator at considerably reduced computational costs. Using the example of an industrial robot, computational speedups of up to factor 8 are reported. The proposed methods have been implemented in the open-source ACADO code generation software.

Numerical algorithms

Optimal control

Nonlinear Predictive control

Författare

Sébastien Gros

Signaler och system, System- och reglerteknik, Reglerteknik

Rien Quirynen

Chalmers University of Technology

Moritz Diehl

Universitat Freiburg im Breisgau

KU Leuven

IFAC-PapersOnLine

2405-8963 (ISSN)

32-38

Styrkeområden

Informations- och kommunikationsteknik

Ämneskategorier

Data- och informationsvetenskap

Systemvetenskap

Fundament

Grundläggande vetenskaper

DOI

10.1016/j.ifacol.2015.11.259