Bayesian model predictive control: Efficient model exploration and regret bounds using posterior sampling


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Date

2020-06-10

Publication Type

Conference Paper

ETH Bibliography

yes

Citations

Altmetric

Data

Abstract

Tight performance specifications in combination with operational constraints make model predictive control (MPC) the method of choice in various industries. As the performance of an MPC controller depends on a sufficiently accurate objective and prediction model of the process, a significant effort in the MPC design procedure is dedicated to modeling and identification. Driven by the increasing amount of available system data and advances in the field of machine learning, data-driven MPC techniques have been developed to facilitate the MPC controller design. While these methods are able to leverage available data, they typically do not provide principled mechanisms to automatically trade off exploitation of available data and exploration to improve and update the objective and prediction model. To this end, we present a learning-based MPC formulation using posterior sampling techniques, which provides finite-time regret bounds on the learning performance while being simple to implement using off-the-shelf MPC software and algorithms. The performance analysis of the method is based on posterior sampling theory and its practical efficiency is illustrated using a numerical example of a highly nonlinear dynamical car-trailer system.

Publication status

published

Book title

Proceedings of the 2nd Conference on Learning for Dynamics and Control

Volume

120

Pages / Article No.

455 - 464

Publisher

PMLR

Event

2nd Conference on Learning for Dynamics and Control (L4DC 2020)

Edition / version

Methods

Software

Geographic location

Date collected

Date created

Subject

Organisational unit

09563 - Zeilinger, Melanie / Zeilinger, Melanie check_circle

Notes

Funding

157601 - Safety and Performance for Human in the Loop Control (SNF)

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