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The safety-critical nature of adaptive cruise control (ACC) systems calls for systematic design procedures, e.g., based on formal methods or control barrier functions (CBFs), to provide strong guarantees of safety and performance under all…

Systems and Control · Electrical Eng. & Systems 2022-03-29 Muhammad Waqas , Muhammad Ali Murtaza , Pierluigi Nuzzo , Petros Ioannou

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

Optimal control for safety-critical systems is often dependent on the conservativeness of constraints. Control Barrier Functions (CBFs) serve as a medium to represent such constraints, but constructing a minimally conservative CBF is a…

Systems and Control · Electrical Eng. & Systems 2026-05-08 Tanmay Dokania , Yashwanth Kumar Nakka

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

The problem of safely learning and controlling a dynamical system - i.e., of stabilizing an originally (partially) unknown system while ensuring that it does not leave a prescribed 'safe set' - has recently received tremendous attention in…

Systems and Control · Electrical Eng. & Systems 2023-10-10 Jafar Abbaszadeh Chekan , Cedric Langbort

Control barrier functions (CBFs) have recently been introduced as a systematic tool to ensure safety by establishing set invariance. When combined with a control Lyapunov function (CLF), they form a safety-critical control mechanism.…

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

This paper proposes a fully decentralized model predictive control (MPC) framework with control barrier function (CBF) constraints for safety-critical trajectory planning in multi-robot legged systems. The incorporation of CBF constraints…

Control barrier functions (CBFs) have been widely applied to safety-critical robotic applications. However, the construction of control barrier functions for robotic systems remains a challenging task. Recently, collision detection using…

This paper presents a safety-critical approach to the coordinated control of cooperative robots locomoting in the presence of fixed (holonomic) constraints. To this end, we leverage control barrier functions (CBFs) to ensure the safe…

Robotics · Computer Science 2023-12-15 Jeeseop Kim , Jaemin Lee , Aaron D. Ames

Hybrid dynamical systems are ubiquitous as practical robotic applications often involve both continuous states and discrete switchings. Safety is a primary concern for hybrid robotic systems. Existing safety-critical control approaches for…

Robotics · Computer Science 2024-12-02 Shuo Yang , Yu Chen , Xiang Yin , George J. Pappas , 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

Robot navigation in dynamic, crowded environments poses a significant challenge due to the inherent uncertainties in the obstacle model. In this work, we propose a risk-adaptive approach based on the Conditional Value-at-Risk Barrier…

Robotics · Computer Science 2025-08-04 Xinyi Wang , Taekyung Kim , Bardh Hoxha , Georgios Fainekos , Dimitra Panagou

In fields such as mining, search and rescue, and archaeological exploration, ensuring real-time, collision-free navigation of robots in confined, cluttered environments is imperative. Despite the value of established path planning…

Robotics · Computer Science 2024-03-28 Manan Tayal , Shishir Kolathaya

We propose a hybrid feedback control law that guarantees both safety and asymptotic stability for a class of Lagrangian systems in environments with obstacles. Rather than performing trajectory planning and implementing a…

Optimization and Control · Mathematics 2021-02-12 Fernando S. Barbosa , Lars Lindemann , Dimos V. Dimarogonas , Jana Tumova

Legged robots exhibit significant potential across diverse applications, including but not limited to hazardous environment search and rescue missions and the exploration of unexplored regions both on Earth and in outer space. However, the…

Robotics · Computer Science 2024-10-28 Manan Tayal , Shishir Kolathaya

A combination of control Lyapunov functions (CLFs) and control barrier functions (CBFs) forms an efficient framework for addressing control challenges in safe stabilization. In our previous research, we developed an analytical control…

Systems and Control · Electrical Eng. & Systems 2023-12-06 Ming Li , Zhiyong Sun

Control barrier functions (CBFs) offer an efficient framework for designing real-time safe controllers. However, CBF-based controllers can be short-sighted, resulting in poor performance, a behaviour which is aggravated in uncertain…

Systems and Control · Electrical Eng. & Systems 2024-09-16 Allan Andre do Nascimento , Antonis Papachristodoulou , Kostas Margellos

Robots operating alongside people, particularly in sensitive scenarios such as aiding the elderly with daily tasks or collaborating with workers in manufacturing, must guarantee safety and cultivate user trust. Continuum soft manipulators…

Robotics · Computer Science 2025-10-20 Kiwan Wong , Maximilian Stölzle , Wei Xiao , Cosimo Della Santina , Daniela Rus , Gioele Zardini

Control barrier function (CBF)-based methods provide the minimum modification necessary to formally guarantee safety in the context of quadratic programming, and strict safety guarantee for safety critical systems. However, most CBF-related…

Systems and Control · Electrical Eng. & Systems 2025-12-27 Xiaoxiao Li , Zhirui Sun , Hongpeng Wang , Shuai Li , Jiankun Wang

Autonomous navigation and obstacle avoidance remain a core challenge of modern Unmanned Aerial Vehicles (UAVs). While traditional control methods struggle with the complexity and variability of the environment, reinforcement learning (RL)…

Systems and Control · Electrical Eng. & Systems 2026-05-05 Ashik Abrar Naeem , Mohammad Ariful Haque