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Towards turnpike-based performance analysis of risk-averse stochastic predictive control

Title data

Schießl, Jonas ; Ou, Ruchuan ; Baumann, Michael Heinrich ; Faulwasser, Timm ; Grüne, Lars:
Towards turnpike-based performance analysis of risk-averse stochastic predictive control.
Bayreuth , 2025 . - 7 S.
DOI: https://doi.org/10.48550/arXiv.2504.00701

Official URL: Volltext

Project information

Project title:
Project's official title
Project's id
Stochastic Optimal Control and MPC - Dissipativity, Risk, and Performance
499435839

Project financing: Deutsche Forschungsgemeinschaft

Abstract in another language

In this paper, we present performance estimates for stochastic economic MPC schemes with risk-averse cost formulations. For MPC algorithms with costs given by the expectation of stage cost evaluated in random variables, it was recently shown that the guaranteed near-optimal performance of abstract MPC in random variables coincides with its implementable variant coincide using measure path-wise feedback. In general, this property does not extend to costs formulated in terms of risk measures. However, through a turnpike-based analysis, this paper demonstrates that for a particular class of risk measures, this result can still be leveraged to formulate an implementable risk-averse MPC scheme, resulting in near-optimal averaged performance.

Further data

Item Type: Preprint, postprint
Refereed: No
Keywords: Stochastic optimal control; Predictive control for nonlinear systems; Stochastic systems
Institutions of the University: Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics
Profile Fields
Profile Fields > Advanced Fields
Profile Fields > Advanced Fields > Nonlinear Dynamics
Research Institutions
Research Institutions > Central research institutes
Research Institutions > Central research institutes > Bayreuth Research Center for Modeling and Simulation - MODUS
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 03 Apr 2025 05:57
Last Modified: 03 Apr 2025 05:57
URI: https://eref.uni-bayreuth.de/id/eprint/93142