Distributionally Robust Stochastic Data-Driven Predictive Control with Optimized Feedback Gain
Abstract
We consider the problem of direct data-driven predictive control for unknown stochastic linear time-invariant (LTI) systems with partial state observation. Building upon our previous research on data-driven stochastic control, this paper (i) relaxes the assumption of Gaussian process and measurement noise, and (ii) enables optimization of the gain matrix within the affine feedback policy. Output safety constraints are modelled using conditional value-at-risk, and enforced in a distributionally robust sense. Under idealized assumptions, we prove that our proposed data-driven control method yields control inputs identical to those produced by an equivalent model-based stochastic predictive controller. A simulation study illustrates the enhanced performance of our approach over previous designs.
Cite
@article{arxiv.2409.05727,
title = {Distributionally Robust Stochastic Data-Driven Predictive Control with Optimized Feedback Gain},
author = {Ruiqi Li and John W. Simpson-Porco and Stephen L. Smith},
journal= {arXiv preprint arXiv:2409.05727},
year = {2024}
}
Comments
8 pages, 1 figure, 2 tables, the extended version of an accepted paper in Conference on Decision and Control (CDC). arXiv admin note: text overlap with arXiv:2312.15177