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September 5, 2026International Journal of Systems Science

Safety-critical control of nonlinear systems using deep neural network-based control barrier functions

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Authors

YWYan WeiZLZicong LuXYXinyi Yu

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Overview

Experimental validation demonstrates enhanced safety performance in a robotic manipulator, highlighting the utility of hybrid neural learning for real-time uncertainty compensation.

Key Points

  • Design an adaptive safety controller for nonlinear systems to maintain rigorous safety guarantees despite operational uncertainties.
  • Integrated a deep neural network with a tuneable input-to-state safe high-order control barrier function.
  • Trained the network online using an observer-driven hybrid learning strategy, updating hidden layers via stochastic gradient descent and output-layer weights via recursive least squares.
  • Validated safety and uncertainty compensation experimentally on a Franka Emika Panda robotic manipulator.
  • Established forward invariance of an extended safe operating set under dynamic uncertainty using Nagumo's theorem.
  • Demonstrated superior safety-critical control performance in robotic arm experiments compared to existing baseline methods.

Cite This Study

Wei et al. (2026) studied this question.

synapsesocial.com/papers/6a9bd3e16b95aff0620eb142https://doi.org/10.1080/00207721.2026.2728145
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