NeurIPS · 2022

Bounded-Regret MPC via Perturbation Analysis: Prediction Error, Constraints, and Nonlinearity

Yiheng Lin, Yang Hu, Guannan Qu, Tongxin Li, Adam Wierman

Advances in Neural Information Processing Systems

How do forecast errors translate into regret for MPC?

A general analysis pipeline converts perturbation bounds for finite horizon control into dynamic regret bounds for MPC. It handles prediction errors in costs, dynamics, and disturbances, and extends the analysis to constrained and nonlinear settings under suitable regularity conditions.

Research themes

Connections

From prediction error to control performance

Trust adaptation in linear quadratic control and perturbation bounds for MPC connect the quality of a forecast to the cost of acting on it. Nonlinear certification adds stability to this picture.

Cite this paper

Yiheng Lin, Yang Hu, Guannan Qu, Tongxin Li, Adam Wierman. Bounded-Regret MPC via Perturbation Analysis: Prediction Error, Constraints, and Nonlinearity. Advances in Neural Information Processing Systems, 2022. https://papers.nips.cc/paper_files/paper/2022/hash/eadeef7c51ad86989cc3b311cb49ec89-Abstract-Conference.html

BibTeX
@inproceedings{tongxin-bounded-regret-mpc,
  title = {{Bounded-Regret MPC via Perturbation Analysis: Prediction Error, Constraints, and Nonlinearity}},
  author = {Yiheng Lin and Yang Hu and Guannan Qu and Tongxin Li and Adam Wierman},
  year = {2022},
  booktitle = {Advances in Neural Information Processing Systems},
  url = {https://papers.nips.cc/paper\_files/paper/2022/hash/eadeef7c51ad86989cc3b311cb49ec89-Abstract-Conference.html}
}
2023IEEE Open Journal of Control Systems

Certifying Black-Box Policies With Stability for Nonlinear Control

Tongxin Li, Ruixiao Yang, Guannan Qu, Yiheng Lin, Adam Wierman, Steven H. Low

Simply blending two stabilizing policies can cause instability. An adaptive confidence policy instead uses approximate model information to certify stability, with competitive guarantees under bounded nonlinearity and evaluations on Cart Pole and charging under distribution shift.