POMACS · 2022

Robustness and Consistency in Linear Quadratic Control with Untrusted Predictions

Tongxin Li, Ruixiao Yang, Guannan Qu, Guanya Shi, Chenkai Yu, Adam Wierman, Steven Low

Proceedings of the ACM on Measurement and Analysis of Computing Systems

Can predictive control balance consistency and robustness automatically?

A confidence parameter governs how much a linear quadratic controller trusts disturbance predictions. Competitive bounds describe the tradeoff between accurate and inaccurate advice, and a self tuning policy adapts confidence online using observed prediction quality.

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

Tongxin Li, Ruixiao Yang, Guannan Qu, Guanya Shi, Chenkai Yu, Adam Wierman, Steven Low. Robustness and Consistency in Linear Quadratic Control with Untrusted Predictions. Proceedings of the ACM on Measurement and Analysis of Computing Systems, 2022. https://doi.org/10.1145/3508038

BibTeX
@article{tongxin-robust-lqc,
  title = {{Robustness and Consistency in Linear Quadratic Control with Untrusted Predictions}},
  author = {Tongxin Li and Ruixiao Yang and Guannan Qu and Guanya Shi and Chenkai Yu and Adam Wierman and Steven Low},
  year = {2022},
  journal = {Proceedings of the ACM on Measurement and Analysis of Computing Systems},
  url = {https://doi.org/10.1145/3508038},
  doi = {10.1145/3508038}
}

Other versions

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.