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In this paper, we develop a novel adaptation-based approach to constrained control design under multiple state and input constraints. Specifically, we introduce a method for synthesizing any number of time-varying candidate control barrier…

Optimization and Control · Mathematics 2023-04-05 Mitchell Black , Dimitra Panagou

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

Reinforcement learning (RL) exhibits impressive performance when managing complicated control tasks for robots. However, its wide application to physical robots is limited by the absence of strong safety guarantees. To overcome this…

Robotics · Computer Science 2023-05-18 Desong Du , Shaohang Han , Naiming Qi , Haitham Bou Ammar , Jun Wang , Wei Pan

This paper proposes a safety controller for control-affine nonlinear systems with unmodelled dynamics and disturbances to improve closed-loop robustness. Uncertainty estimation-based control barrier functions (CBFs) are utilized to ensure…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Ersin Daş , Skylar X. Wei , Joel W. Burdick

This paper presents an adaptive online learning framework for systems with uncertain parameters to ensure safety-critical control in non-stationary environments. Our approach consists of two phases. The initial phase is centered on a novel…

Machine Learning · Computer Science 2024-03-06 Yu Zhang , Long Wen , Xiangtong Yao , Zhenshan Bing , Linghuan Kong , Wei He , Alois Knoll

This paper addresses the target-pursuit problem, aiming to ensure each pursuer's safety regarding collision avoidance, sensing range, and input saturation. An input-constrained CBF is proposed to dynamically regulate the pursuer's control,…

Systems and Control · Electrical Eng. & Systems 2024-12-11 Yaosheng Deng , Junjie Gao , Jiaping Xiao , Mir Feroskhan

This paper addresses the challenge of safe navigation for rigid-body mobile robots in dynamic environments. We introduce an analytic approach to compute the distance between a polygon and an ellipse, and employ it to construct a control…

Robotics · Computer Science 2024-05-01 Kehan Long , Khoa Tran , Melvin Leok , Nikolay Atanasov

In this article, we propose a control architecture for the safe, coordinated operation of a multi-agent system with aerial (UAVs) and ground (UGVs) robots in a confined task space. We consider the case where the aerial and ground operations…

We address the problem of optimizing the performance of a dynamic system while satisfying hard safety constraints at all times. Implementing an optimal control solution is limited by the computational cost required to derive it in real…

Systems and Control · Electrical Eng. & Systems 2020-08-19 Wei Xiao , Christos G. Cassandras , Calin A. Belta

In advanced manufacturing, strict safety guarantees are required to allow humans and robots to work together in a shared workspace. One of the challenges in this application field is the variety and unpredictability of human behavior,…

Robotics · Computer Science 2023-08-22 Dianhao Zhang , Mien Van , Stephen Mcllvanna , Yuzhu Sun , Seán McLoone

Control Barrier Function (CBF) is an emerging method that guarantees safety in path planning problems by generating a control command to ensure the forward invariance of a safety set. Most of the developments up to date assume availability…

Systems and Control · Electrical Eng. & Systems 2024-07-02 Chuyuan Tao , Wenbin Wan , Junjie Gao , Bihao Mo , Hunmin Kim , Naira Hovakimyan

This paper addresses the problem of safety-critical control for systems with unknown dynamics. It has been shown that stabilizing affine control systems to desired (sets of) states while optimizing quadratic costs subject to state and…

Systems and Control · Electrical Eng. & Systems 2021-03-31 Wei Xiao , Calin Belta , Christos G. Cassandras

This tutorial provides a critical review of the practical application of Control Barrier Functions (CBFs) in robotic safety. While the theoretical foundations of CBFs are well-established, I identify a recurring gap between the mathematical…

Robotics · Computer Science 2026-03-10 Taekyung Kim

Many robotic tasks, such as human-robot interactions or the handling of fragile objects, require tight control and limitation of appearing forces and moments alongside sensible motion control to achieve safe yet high-performance operation.…

Robotics · Computer Science 2023-03-09 Janine Matschek , Johanna Bethge , Rolf Findeisen

In this paper, a safety-critical control strategy for a nonholonomic robot is developed to generate control signals that result in optimal, obstacle-free paths through dynamic environments. We formulate the control synthesis problem as an…

Systems and Control · Electrical Eng. & Systems 2025-03-04 Nhat Nguyen Minh , Stephen McIlvanna , Yuzhu Sun , Yan Jin , Mien Van

Dynamic obstacle avoidance is a challenging topic for optimal control and optimization-based trajectory planning problems. Many existing works use Control Barrier Functions (CBFs) to enforce safety constraints for control systems. CBFs are…

Robotics · Computer Science 2025-02-10 Shuo Liu , Yihui Mao , Calin A. Belta

Control barrier functions (CBFs) are a powerful tool for the constrained control of nonlinear systems; however, the majority of results in the literature focus on systems subject to a single CBF constraint, making it challenging to…

Systems and Control · Electrical Eng. & Systems 2025-09-05 Max H. Cohen , Eugene Lavretsky , Aaron D. Ames

Safely navigating around obstacles while respecting the dynamics, control, and geometry of the underlying system is a key challenge in robotics. Control Barrier Functions (CBFs) generate safe control policies by considering system dynamics…

Robotics · Computer Science 2025-09-16 Yi-Hsuan Chen , Shuo Liu , Wei Xiao , Calin Belta , Michael Otte

As robots move from the laboratory into the real world, motion planning will need to account for model uncertainty and risk. For robot motions involving intermittent contact, planning for uncertainty in contact is especially important, as…

Robotics · Computer Science 2021-10-01 Luke Drnach , John Z. Zhang , Ye Zhao

This paper presents methodologies for ensuring forward invariance of sublevel sets of constraint functions with high-relative-degree with respect to the system dynamics and in the presence of input constraints. We show that such constraint…

Optimization and Control · Mathematics 2021-10-01 Joseph Breeden , Dimitra Panagou