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Related papers: Designing Barrier Functions for Graceful Safety Co…

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This work applies universal adaptive control to control barrier functions to achieve forward invariance of a safe set despite the presence of unmatched parametric uncertainties. The approach combines two ideas. The first is to construct a…

Systems and Control · Electrical Eng. & Systems 2022-08-17 Brett T. Lopez , Jean-Jacques Slotine

Control barrier functions (CBFs) provide a powerful tool for enforcing safety constraints in control systems, but their direct application to complex, high-dimensional dynamics is often challenging. In many settings, safety certificates are…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Nikolaos Bousias , Charalampia Stamouli , Anastasios Tsiamis , George Pappas

Balancing path following accuracy and error convergence with graceful motion in steering control is challenging due to the competing nature of these requirements, especially across a range of operating speeds and conditions. This paper…

Robotics · Computer Science 2022-07-13 Ming Xin , Mark A. Minor

This paper presents a general end-to-end framework for constructing robust and reliable layered safety filters that can be leveraged to perform dynamic collision avoidance over a broad range of applications using only local perception data.…

Robotics · Computer Science 2026-03-03 Erina Yamaguchi , Ryan M. Bena , Gilbert Bahati , Aaron D. Ames

A safe controller for multicopter is proposed using control barrier function. Multicopter dynamics are reformulated to deal with mixed-relative-degree and non-strict-feedback-form dynamics, and a time-varying safe backstepping controller is…

Systems and Control · Electrical Eng. & Systems 2023-08-09 Jinrae Kim , Youdan Kim

This study presents a framework to guarantee safety for a class of second-order nonlinear systems under multiple state and input constraints. To facilitate real-world applications, a safety-critical controller must consider multiple…

Systems and Control · Electrical Eng. & Systems 2023-08-09 Donggeon David Oh , Dongjae Lee , H. Jin Kim

Control barrier functions (CBFs) have recently introduced a systematic tool to ensure system safety by establishing set invariance. When combined with a nominal control strategy, they form a safety-critical control mechanism. However, the…

Systems and Control · Electrical Eng. & Systems 2024-04-22 Mohammad Aali , Jun Liu

Ensuring both performance and safety is critical for autonomous systems operating in real-world environments. While safety filters such as Control Barrier Functions (CBFs) enforce constraints by modifying nominal controllers in real time,…

Systems and Control · Electrical Eng. & Systems 2025-07-21 Aditya Singh , Aastha Mishra , Manan Tayal , Shishir Kolathaya , Pushpak Jagtap

In this paper, we propose a notion of high-order (zeroing) barrier functions that generalizes the concept of zeroing barrier functions and guarantees set forward invariance by checking their higher order derivatives. The proposed…

Systems and Control · Electrical Eng. & Systems 2021-07-02 Xiao Tan , Wenceslao Shaw Cortez , Dimos V. Dimarogonas

This paper presents conditions for ensuring forward invariance of safe sets under sampled-data system dynamics with piecewise-constant controllers and fixed time-steps. First, we introduce two different metrics to compare the…

Optimization and Control · Mathematics 2021-06-28 Joseph Breeden , Kunal Garg , Dimitra Panagou

The introduction of new technologies and concepts of operation in the air transportation system is not possible, unless they can be proven not to adversely affect the system operation under not only nominal, but also degraded conditions. In…

Other Computer Science · Computer Science 2008-01-31 Maxime Gariel , Eric Feron

Barrier functions (also called certificates) have been an important tool for the verification of hybrid systems, and have also played important roles in optimization and multi-objective control. The extension of a barrier function to a…

Optimization and Control · Mathematics 2016-12-07 Xiangru Xu , Paulo Tabuada , Jessy W. Grizzle , Aaron D. Ames

Safe autonomy is a critical requirement and a key enabler for robots to operate safely in unstructured complex environments. Control barrier functions and safe motion corridors are two widely used but technically distinct safety methods,…

Robotics · Computer Science 2026-03-09 Ömür Arslan , Nikolay Atanasov

Tractable safety-ensuring algorithms for cyber-physical systems are important in critical applications. Approaches based on Control Barrier Functions assume continuous enforcement, which is not possible in an online fashion. This paper…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Jan Schilliger , Thomas Lew , Spencer M. Richards , Severin Hänggi , Marco Pavone , Christopher Onder

This paper presents a framework for the safety-critical control of robotic systems, when safety is defined on safe regions in the configuration space. To maintain safety, we synthesize a safe velocity based on control barrier function…

Robotics · Computer Science 2022-11-21 Tamas G. Molnar , Ryan K. Cosner , Andrew W. Singletary , Wyatt Ubellacker , Aaron D. Ames

This paper presents an approach to deal with safety of dynamical systems in presence of multiple non-convex unsafe sets. While optimal control and model predictive control strategies can be employed in these scenarios, they suffer from high…

Systems and Control · Electrical Eng. & Systems 2021-06-14 Gennaro Notomista , Matteo Saveriano

This paper introduces differentiable higher-order control barrier functions (CBF) that are end-to-end trainable together with learning systems. CBFs are usually overly conservative, while guaranteeing safety. Here, we address their…

Machine Learning · Computer Science 2021-11-23 Wei Xiao , Ramin Hasani , Xiao Li , Daniela Rus

In this work, we consider the problem of learning a feed-forward neural network controller to safely steer an arbitrarily shaped planar robot in a compact and obstacle-occluded workspace. Unlike existing methods that depend strongly on the…

Systems and Control · Electrical Eng. & Systems 2022-12-14 Panagiotis Vlantis , Leila J. Bridgeman , Michael M. Zavlanos

Constructing a control invariant set with an appropriate shape that fits within a given state constraint is a fundamental problem in safety-critical control but is known to be difficult, especially for large or complex spaces. This paper…

Systems and Control · Electrical Eng. & Systems 2025-07-18 Inkyu Jang , H. Jin Kim

Ensuring safety is of paramount importance in physical human-robot interaction applications. This requires both adherence to safety constraints defined on the system state, as well as guaranteeing compliant behavior of the robot. If the…

Systems and Control · Electrical Eng. & Systems 2023-04-17 Armin Lederer , Azra Begzadić , Neha Das , Sandra Hirche