preprint
Explicit multiobjective model predictive control for nonlinear systems with symmetries
Sina
Ober-Blöbaum
author
Sebastian
Peitz
author 47427https://orcid.org/0000-0002-3389-793X
101
department
Computing Resources Provided by the Paderborn Center for Parallel Computing
project
Model predictive control is a prominent approach to construct a feedback
control loop for dynamical systems. Due to real-time constraints, the major
challenge in MPC is to solve model-based optimal control problems in a very
short amount of time. For linear-quadratic problems, Bemporad et al.~have
proposed an explicit formulation where the underlying optimization problems are
solved a priori in an offline phase. In this article, we present an extension
of this concept in two significant ways. We consider nonlinear problems and --
more importantly -- problems with multiple conflicting objective functions. In
the offline phase, we build a library of Pareto optimal solutions from which we
then obtain a valid compromise solution in the online phase according to a
decision maker's preference. Since the standard multi-parametric programming
approach is no longer valid in this situation, we instead use interpolation
between different entries of the library. To reduce the number of problems that
have to be solved in the offline phase, we exploit symmetries in the dynamical
system and the corresponding multiobjective optimal control problem. The
results are verified using two different examples from autonomous driving.
2018
eng
arXiv:1809.06238
Ober-Blöbaum, S., & Peitz, S. (2018). Explicit multiobjective model predictive control for nonlinear systems with symmetries. <i>ArXiv:1809.06238</i>.
Ober-Blöbaum S, Peitz S. Explicit multiobjective model predictive control for nonlinear systems with symmetries. <i>arXiv:180906238</i>. 2018.
Ober-Blöbaum, Sina, and Sebastian Peitz. “Explicit Multiobjective Model Predictive Control for Nonlinear Systems with Symmetries.” <i>ArXiv:1809.06238</i>, 2018.
S. Ober-Blöbaum, S. Peitz, ArXiv:1809.06238 (2018).
@article{Ober-Blöbaum_Peitz_2018, title={Explicit multiobjective model predictive control for nonlinear systems with symmetries}, journal={arXiv:1809.06238}, author={Ober-Blöbaum, Sina and Peitz, Sebastian}, year={2018} }
Ober-Blöbaum, Sina, and Sebastian Peitz. “Explicit Multiobjective Model Predictive Control for Nonlinear Systems with Symmetries.” <i>ArXiv:1809.06238</i>, 2018.
S. Ober-Blöbaum and S. Peitz, “Explicit multiobjective model predictive control for nonlinear systems with symmetries,” <i>arXiv:1809.06238</i>. 2018.
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