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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

Safe control for inherently unstable systems such as quadrotors is crucial. Imposing multiple dynamic constraints simultaneously on the states for safety regulation can be a challenging problem. In this paper, we propose a quadratic…

Systems and Control · Computer Science 2022-03-08 Mouhyemen Khan , Munzir Zafar , Abhijit Chatterjee

This paper addresses the challenge of ensuring safety and feasibility in control systems using Control Barrier Functions (CBFs). Existing CBF-based Quadratic Programs (CBF-QPs) often encounter feasibility issues due to mixed relative degree…

Systems and Control · Electrical Eng. & Systems 2025-03-07 Shuo Liu , Wei Xiao , Calin A. Belta

With the goal of enabling the exploitation of impacts in robotic manipulation, a new framework is presented for control of robotic manipulators that are tasked to execute nominally simultaneous impacts. In this framework, we employ tracking…

Robotics · Computer Science 2023-08-16 Jari J. van Steen , Nathan van de Wouw , Alessandro Saccon

This paper addresses the quantitative verification of finite-time constrained occupation time for stochastic continuous-time systems governed by stochastic differential equations (SDEs). Unlike classical reachability analysis, which focuses…

Systems and Control · Electrical Eng. & Systems 2026-04-22 Bai Xue , C. -H. Luke Ong

In many human-in-the-loop robotic applications such as robot-assisted surgery and remote teleoperation, predicting the intended motion of the human operator may be useful for successful implementation of shared control, guidance virtual…

Robotics · Computer Science 2018-03-28 Arun Kumar Singh , Sigal Berman , Ilana Nisky

Many robotic systems must follow planned paths yet pause safely and resume when people or objects intervene. We present an output-space method for systems whose tracked output can be feedback-linearized to a double integrator (e.g.,…

Robotics · Computer Science 2025-09-18 Hossein Gholampour , Logan E. Beaver

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

When deploying autonomous agents in unstructured environments over sustained periods of time, adaptability and robustness oftentimes outweigh optimality as a primary consideration. In other words, safety and survivability constraints play a…

Systems and Control · Electrical Eng. & Systems 2021-04-08 Motoya Ohnishi , Gennaro Notomista , Masashi Sugiyama , Magnus Egerstedt

Safety of stochastic dynamic systems in environments with dynamic obstacles is studied in this paper through the lens of stochastic barrier functions. We introduce both time-invariant and time-varying barrier certificates for discrete-time,…

Robotics · Computer Science 2026-04-23 Rayan Mazouz , Luca Laurenti , Morteza Lahijanian

Robotic surface consisting of many actuators can change shape to perform tasks, such as facilitating human-machine interactions and transporting objects. Increasing the number of actuators can enhance the robot's capacity, but controlling…

Robotics · Computer Science 2024-12-03 Yuchen Zhao

Control barrier functions are widely used to enforce safety properties in robot motion planning and control. However, the problem of constructing barrier functions online and synthesizing safe controllers that can deal with the associated…

Robotics · Computer Science 2021-02-12 Kehan Long , Cheng Qian , Jorge Cortés , Nikolay Atanasov

Obstacle avoidance of polytopic obstacles by polytopic robots is a challenging problem in optimization-based control and trajectory planning. Many existing methods rely on smooth geometric approximations, such as hyperspheres or ellipsoids,…

Robotics · Computer Science 2026-03-09 Shuo Liu , Zhe Huang , Calin A. Belta

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

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

Ensuring robot safety in complex environments is a difficult task due to actuation limits, such as torque bounds. This paper presents a safety-critical control framework that leverages learning-based switching between multiple backup…

Robotics · Computer Science 2024-03-08 Neil C. Janwani , Ersin Daş , Thomas Touma , Skylar X. Wei , Tamas G. Molnar , Joel W. Burdick

Action anticipation, intent prediction, and proactive behavior are all desirable characteristics for autonomous driving policies in interactive scenarios. Paramount, however, is ensuring safety on the road -- a key challenge in doing so is…

Obstacle avoidance is central to safe navigation, especially for robots with arbitrary and nonconvex geometries operating in cluttered environments. Existing Control Barrier Function (CBF) approaches often rely on analytic clearance…

Robotics · Computer Science 2025-09-22 Shuo Liu , Zhe Huang , Calin A. Belta

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

In safety-critical control systems, ensuring both system safety and smooth control input is essential for practical deployment. Existing Control Barrier Function (CBF) frameworks, especially High-Order CBFs (HOCBFs), effectively enforce…

Systems and Control · Electrical Eng. & Systems 2026-03-11 Shuo Liu , Wei Xiao , Calin A. Belta