Explicit Solution of Tunable Input-to-State Safe-Based Controller Under High-Relative-Degree Constraints
Abstract
This paper investigates the safety analysis and verification of nonlinear systems subject to high-relative-degree constraints and unknown disturbance. The closed-form solution of the high-order control barrier functions (HOCBF) optimization problem with and without a nominal controller is first provided, making it unnecessary to solve the quadratic program problem online and facilitating the analysis. Further, we introduce the concept of tunable input-to-state safety(ISSf), and a new tunable function in conjunction with HOCBF is provided. When combined with the existing ISSf theorem, produces controllers for constrained nonlinear systems with external disturbances. The theoretical results are proven and supported by numerical simulations.
Cite
@article{arxiv.2503.07007,
title = {Explicit Solution of Tunable Input-to-State Safe-Based Controller Under High-Relative-Degree Constraints},
author = {Yan Wei and Yu Feng and Linlin Ou and Yueying Wang and Xinyi Yu},
journal= {arXiv preprint arXiv:2503.07007},
year = {2025}
}
Comments
Submitted to IEEE Transactions on Automatic Control. Under review