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Learning-based controllers, such as neural network (NN) controllers, can show high empirical performance but lack formal safety guarantees. To address this issue, control barrier functions (CBFs) have been applied as a safety filter to…

Systems and Control · Electrical Eng. & Systems 2023-01-10 Shuo Yang , Shaoru Chen , Victor M. Preciado , Rahul Mangharam

This paper introduces harmonic control Lyapunov barrier functions (harmonic CLBF) that aid in constrained control problems such as reach-avoid problems. Harmonic CLBFs exploit the maximum principle that harmonic functions satisfy to encode…

Optimization and Control · Mathematics 2024-03-27 Amartya Mukherjee , Ruikun Zhou , Haocheng Chang , Jun Liu

Motivated by the recent interest in cyber-physical and autonomous robotic systems, we study the problem of dynamically coupled multi-agent systems under a set of signal temporal logic tasks. In particular, the satisfaction of each of these…

Systems and Control · Electrical Eng. & Systems 2021-02-05 Lars Lindemann , Dimos V. Dimarogonas

Certifying the safety of nonlinear systems, through the lens of set invariance and control barrier functions (CBFs), offers a powerful method for controller synthesis, provided a CBF can be constructed. This paper draws connections between…

Systems and Control · Electrical Eng. & Systems 2024-06-18 Max H. Cohen , Ryan K. Cosner , Aaron D. Ames

Robots operating in real world settings must navigate and maintain safety while interacting with many heterogeneous agents and obstacles. Multi-Agent Control Barrier Functions (CBF) have emerged as a computationally efficient tool to…

Robotics · Computer Science 2020-09-24 Richard Cheng , Mohammad Javad Khojasteh , Aaron D. Ames , Joel W. Burdick

Control barrier functions (CBFs) are widely used in safety-critical controllers. However, constructing a valid CBF is challenging, especially under nonlinear or non-convex constraints and for high relative degree systems. Meanwhile, finding…

Systems and Control · Electrical Eng. & Systems 2022-10-12 Bolun Dai , Prashanth Krishnamurthy , Farshad Khorrami

We present a compositional control synthesis method based on assume-guarantee contracts with application to correct-by-construction design of vehicular mission plans. In our approach, a mission-level specification expressed in a fragment of…

Systems and Control · Electrical Eng. & Systems 2022-09-22 Muhammad Waqas , Nikhil Vijay Naik , Petros Ioannou , Pierluigi Nuzzo

The synthesis of Control Barrier Functions (CBFs) often involves demanding computations or a meticulous construction. However, structural properties of the system dynamics and constraints have the potential to mitigate these challenges. In…

Systems and Control · Electrical Eng. & Systems 2025-09-05 Adrian Wiltz , Dimos V. Dimarogonas

Complex control systems are often described in a layered fashion, represented as higher-order systems where the inputs appear after a chain of integrators. While Control Barrier Functions (CBFs) have proven to be powerful tools for…

Systems and Control · Electrical Eng. & Systems 2022-04-05 Andrew J. Taylor , Pio Ong , Tamas G. Molnar , Aaron D. Ames

In the context of safety-critical control, we propose and analyse the use of Control Barrier Functions (CBFs) to limit the kinetic energy of torque-controlled robots. The proposed scheme is able to modify a nominal control action in a…

Robotics · Computer Science 2024-11-05 Federico Califano , Daniel Logmans , Wesley Roozing

Control barrier functions (CBFs) have seen widespread success in providing forward invariance and safety guarantees for dynamical control systems. A crucial limitation of discrete-time formulations is that CBFs that are nonconcave in their…

Systems and Control · Electrical Eng. & Systems 2025-10-14 James Usevitch , Juan Augusto Paredes Salazar , Ankit Goel

Designing safety-critical control for robotic manipulators is challenging, especially in a cluttered environment. First, the actual trajectory of a manipulator might deviate from the planned one due to the complex collision environments and…

Robotics · Computer Science 2022-11-14 Xuda Ding , Han Wang , Yi Ren , Yu Zheng , Cailian Chen , Jianping He

This paper addresses the problem of safety-critical control for non-affine control systems. It has been shown that optimizing quadratic costs subject to state and control constraints can be sub-optimally reduced to a sequence of quadratic…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Wei Xiao , Ross Allen , Daniela Rus

We consider the problem of designing controllers to guarantee safety in a class of nonlinear systems under uncertainties in the system dynamics and/or the environment. We define a class of uncertain control barrier functions (CBFs), and…

Systems and Control · Electrical Eng. & Systems 2023-09-20 Vipul K. Sharma , S. Sivaranjani

Physical human-robot interaction offers the potential to leverage human intelligence and robot physical capabilities to enable a range of exciting applications, e.g., collaborative robots for rehabilitation. Safety is critical for the…

Robotics · Computer Science 2026-04-28 Rui Luo , Jonas Mariager Jakobsen , Wesley Roozing , Federico Califano , Cheng Fang

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

Safety-critical control is a crucial aspect of modern systems, and Control Barrier Functions (CBFs) have gained popularity as the framework of choice for ensuring safety. However, implementing a CBF requires exact knowledge of the true…

Systems and Control · Electrical Eng. & Systems 2025-08-26 Rahal Nanayakkara , Aaron D. Ames , Paulo Tabuada

We present a real-time safety filter for motion planning, including those that are learning-based, using Control Barrier Functions (CBFs) to provide formal guarantees for collision avoidance with road boundaries. A key feature of our…

Robotics · Computer Science 2026-03-25 Jianye Xu , Chang Che , Bassam Alrifaee

We present a closed-form optimal feedback control method that ensures safety in an a prior unknown and potentially dynamic environment. This article considers the scenario where local perception data (e.g., LiDAR) is obtained periodically,…

Robotics · Computer Science 2025-04-23 Amirsaeid Safari , Jesse B. Hoagg

Ensuring the safety of complex dynamical systems often relies on Hamilton-Jacobi (HJ) Reachability Analysis or Control Barrier Functions (CBFs). Both methods require computing a function that characterizes a safe set that can be made…

Systems and Control · Electrical Eng. & Systems 2025-10-03 Jixian Liu , Enrique Mallada