文章基本信息

标题：Inexact Newton based Lifted Implicit Integrators for fast Nonlinear MPC *
本地全文：下载
作者：Rien Quirynen ; Sébastien Gros ; Moritz Diehl 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2015
卷号：48
期号：23
页码：32-38
DOI：10.1016/j.ifacol.2015.11.259
语种：English
出版社：Elsevier
摘要：AbstractNonlinear 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.
关键词：KeywordsNumerical algorithmsOptimal controlNonlinear Predictive control