Inexact Newton based Lifted Implicit Integrators for fast Nonlinear MPC
Paper in proceedings, 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

Author

Sébastien Gros

Chalmers, Signals and Systems, Systems and control, Automatic Control

Rien Quirynen

KU Leuven

University of Freiburg

Moritz Diehl

KU Leuven

University of Freiburg

IFAC-PapersOnLine

24058963 (eISSN)

23 32-38

Areas of Advance

Information and Communication Technology

Subject Categories

Computer and Information Science

Information Science

Roots

Basic sciences

DOI

10.1016/j.ifacol.2015.11.259

More information

Latest update

11/23/2018