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In this paper, the safety-critical control problem for uncertain systems under multiple control barrier function (CBF) constraints and input constraints is investigated. A novel framework is proposed to generate a safety filter that…

Systems and Control · Electrical Eng. & Systems 2025-03-21 Jinyang Dong , Shizhen Wu , Rui Liu , Xiao Liang , Biao Lu , Yongchun Fang

Control barrier functions (CBFs) offer a powerful tool for enforcing safety specifications in control synthesis. This paper deals with the problem of constructing valid CBFs. Given a second-order system and any desired safety set with…

Systems and Control · Electrical Eng. & Systems 2025-03-17 Mohammed Alyaseen , Nikolay Atanasov , Jorge Cortes

Control Barrier Functions (CBFs) have proven to be an effective tool for performing safe control synthesis for nonlinear systems. However, guaranteeing safety in the presence of disturbances and input constraints for high relative degree…

Optimization and Control · Mathematics 2026-01-21 Luzia Knoedler , Oswin So , Ji Yin , Mitchell Black , Zachary Serlin , Panagiotis Tsiotras , Javier Alonso-Mora , Chuchu Fan

Safety is one of the fundamental problems in robotics. Recently, a quadratic program-based control barrier function (CBF) method has emerged as a way to enforce safety-critical constraints. Together with control Lyapunov function (CLF), it…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Jun Zeng , Bike Zhang , Zhongyu Li , Koushil Sreenath

Uncertainty-aware controllers that guarantee safety are critical for safety critical applications. Among such controllers, Control Barrier Functions (CBFs) based approaches are popular because they are fast, yet safe. However, most such…

Robotics · Computer Science 2024-07-02 Masoud Ataei , Vikas Dhiman

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

Inspired by the success of imitation and inverse reinforcement learning in replicating expert behavior through optimal control, we propose a learning based approach to safe controller synthesis based on control barrier functions (CBFs). We…

Systems and Control · Electrical Eng. & Systems 2020-11-10 Alexander Robey , Haimin Hu , Lars Lindemann , Hanwen Zhang , Dimos V. Dimarogonas , Stephen Tu , Nikolai Matni

We propose integrating an approximation of a predictive control barrier function (PCBF) in a safety filter framework, resulting in a prediction horizon independent formulation. The PCBF is defined through the value function of an optimal…

Systems and Control · Electrical Eng. & Systems 2025-08-26 Alexandre Didier , Melanie N. Zeilinger

Ensuring the safety of dynamical systems is crucial, where collision avoidance is a primary concern. Recently, control barrier functions (CBFs) have emerged as an effective method to integrate safety constraints into control synthesis…

Systems and Control · Electrical Eng. & Systems 2025-08-21 Shiqing Wei , Rooholla Khorrambakht , Prashanth Krishnamurthy , Vinicius Mariano Gonçalves , Farshad Khorrami

We propose a design method for a robust safety filter based on Input Constrained Control Barrier Functions (ICCBF) for car-like robots moving in complex environments. A robust ICCBF that can be efficiently implemented is obtained by…

Robotics · Computer Science 2024-02-21 Sven Brüggemann , Dominic Nightingale , Jack Silberman , Maurício de Oliveira

Safety is a fundamental requirement of control systems. Control Barrier Functions (CBFs) are proposed to ensure the safety of the control system by constructing safety filters or synthesizing control inputs. However, the safety guarantee…

Robotics · Computer Science 2024-03-29 Manan Tayal , Hongchao Zhang , Pushpak Jagtap , Andrew Clark , Shishir Kolathaya

Artificial potential fields (APFs) and their variants have been a staple for collision avoidance of mobile robots and manipulators for almost 40 years. Its model-independent nature, ease of implementation, and real-time performance have…

Robotics · Computer Science 2020-10-21 Andrew Singletary , Karl Klingebiel , Joseph Bourne , Andrew Browning , Phil Tokumaru , Aaron Ames

Safe path planning is critical for bipedal robots to operate in safety-critical environments. Common path planning algorithms, such as RRT or RRT*, typically use geometric or kinematic collision check algorithms to ensure collision-free…

Robotics · Computer Science 2022-10-10 Chengyang Peng , Octavian Donca , Ayonga Hereid

Differential-algebraic equations (DAEs) arise in power networks, chemical processes, and multibody systems, where algebraic constraints encode physical conservation laws. The safety of such systems is critical, yet safe control is…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Hongchao Zhang , Mohamad H. Kazma , Meiyi Ma , Taylor T. Johnson , Ahmad F. Taha

In this paper, we propose a method to avoid "no-solution" situations of the control barrier function (CBF) for distributed collision avoidance in a multiagent autonomous robotic system (MARS). MARS, which is composed of distributed…

Robotics · Computer Science 2023-11-14 Hiroki Etchu , Yuki Origane , Daisuke Kurabayashi

This paper introduces integral control barrier functions (I-CBFs) as a means to enable the safety-critical integral control of nonlinear systems. Importantly, I-CBFs allow for the holistic encoding of both state constraints and input bounds…

Optimization and Control · Mathematics 2020-07-09 Aaron D. Ames , Gennaro Notomista , Yorai Wardi , Magnus Egerstedt

Safety is a fundamental requirement of many robotic systems. Control barrier function (CBF)-based approaches have been proposed to guarantee the safety of robotic systems. However, the effectiveness of these approaches highly relies on the…

Robotics · Computer Science 2024-03-01 Hongchao Zhang , Luyao Niu , Andrew Clark , Radha Poovendran

We present an optimisation-based approach to ensure robust asymptotic stability stability of a desired set in the state space of nonlinear dynamical systems, while optimising a general control objective. The approach relies on the decrease…

Systems and Control · Electrical Eng. & Systems 2025-03-26 Alexandre Didier , Melanie N. Zeilinger

The safe and efficient operation of Autonomous Mobile Robots (AMRs) in complex environments, such as manufacturing, logistics, and agriculture, necessitates accurate multi-object tracking and predictive collision avoidance. This paper…

Robotics · Computer Science 2025-09-03 Bruk Gebregziabher , Hadush Hailu

Safety constraints of nonlinear control systems are commonly enforced through the use of control barrier functions (CBFs). Uncertainties in the dynamic model can disrupt forward invariance guarantees or cause the state to be restricted to…

Systems and Control · Electrical Eng. & Systems 2025-01-30 Hannah M. Sweatland , Omkar Sudhir Patil , Warren E. Dixon
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