Safe Stabilization using Nonsmooth Control Lyapunov Barrier Function
Abstract
This paper addresses the challenge of safe stabilization, ensuring the system state reach the origin while avoiding unsafe regions. Existing approaches relying on smooth Lyapunov barrier functions often fail to guarantee a feasible controller. To overcome this limitation, we introduce the nonsmooth Control Lyapunov Barrier Function (NCLBF), which ensures the existence of a safe and stabilizing controller. We provide a systematic framework for designing NCLBF and feedback control strategies to achieve safe stabilization in the presence of multiple bounded unsafe regions. Theoretical analysis and simulations of both linear and nonlinear systems demonstrate the effectiveness and superiority of our approach compared to the existing smooth functions method.
Cite
@article{arxiv.2409.13624,
title = {Safe Stabilization using Nonsmooth Control Lyapunov Barrier Function},
author = {Jianglin Lan and Eldert van Henten and Peter Groot Koerkamp and Congcong Sun},
journal= {arXiv preprint arXiv:2409.13624},
year = {2025}
}
Comments
8 pages, 8 figures