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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

Control barrier functions-based quadratic programming (CBF-QP) is gaining popularity as an effective controller synthesis tool for safe control. However, the provable safety is established on an accurate dynamic model and access to all…

Systems and Control · Electrical Eng. & Systems 2023-08-29 Jinfeng Chen , Zhiqiang Gao , Qin Lin

This paper presents a constraint-lifting control framework for designing stabilizing controllers that guarantee the forward invariance of a prescribed safe set. State-of-the-art safety-enforcing methods, such as control barrier functions…

Optimization and Control · Mathematics 2026-04-29 Jhon Manuel Portella Delgado , Ankit Goel

Shared autonomy blends operator intent with autonomous assistance. In cluttered environments, linear blending can produce unsafe commands even when each source is individually collision-free. Many existing approaches model obstacle…

Robotics · Computer Science 2026-03-03 Berk Guler , Kay Pompetzki , Yuanzheng Sun , Simon Manschitz , Jan Peters

The control barrier function (CBF) has become a fundamental tool in safety-critical systems design since its invention. Typically, the quadratic optimization framework is employed to accommodate CBFs, control Lyapunov functions (CLFs),…

Optimization and Control · Mathematics 2026-03-17 Junjun Xie , Liang Hu , Jiahu Qin , Jun Yang , Huijun Gao

Safety filtering is an effective method for enforcing constraints in safety-critical systems, but existing methods typically assume perfect state information. This limitation is especially problematic for systems that rely on neural network…

Systems and Control · Electrical Eng. & Systems 2026-02-06 Nicholas Rober , Alex Rose , Jonathan P. How

A fundamental and classical problem in mobile autonomous systems is maintaining the safety of autonomous agents during deployment. Prior literature has presented techniques using control barrier functions (CBFs) to achieve this goal. These…

Optimization and Control · Mathematics 2025-03-18 James Usevitch , Jackson Sahleen

Breaking safety constraints in control systems can lead to potential risks, resulting in unexpected costs or catastrophic damage. Nevertheless, uncertainty is ubiquitous, even among similar tasks. In this paper, we develop a novel adaptive…

Systems and Control · Electrical Eng. & Systems 2023-07-17 Shengbo Wang , Ke Li , Yin Yang , Yuting Cao , Tingwen Huang , Shiping Wen

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

This article introduces the Pareto Control Barrier Function (PCBF) algorithm to maximize the inner safe set of dynamical systems under input constraints. Traditional Control Barrier Functions (CBFs) ensure safety by maintaining system…

Optimization and Control · Mathematics 2025-03-21 Xiaoyang Cao , Zhe Fu , Alexandre M. Bayen

Multi-objective safety-critical control entails a diligent design to avoid possibly conflicting scenarios and ensure safety. This paper addresses multi-objective safety-critical control through a novel approach utilizing barrier states…

Systems and Control · Electrical Eng. & Systems 2025-07-08 Hassan Almubarak , Nader Sadegh , Evangelos A. Theodorou

Ensuring constraint satisfaction is a key requirement for safety-critical systems, which include most robotic platforms. For example, constraints can be used for modeling joint position/velocity/torque limits and collision avoidance.…

Robotics · Computer Science 2025-09-04 Elias Fontanari , Gianni Lunardi , Matteo Saveriano , Andrea Del Prete

We introduce a hybrid (discrete--continuous) safety controller which enforces strict state and input constraints on a system---but only acts when necessary, preserving transparent operation of the original system within some safe region of…

Optimization and Control · Mathematics 2019-11-22 Gray C. Thomas , Binghan He , Luis Sentis

We propose a constricting Control Barrier Function (CBF) framework for prescribed-time control of control-affine systems with input constraints. Given a system starting outside a target safe set, we construct a time-varying safety tube that…

Optimization and Control · Mathematics 2026-03-19 Darshan Gadginmath , Ahmed Allibhoy , Fabio Pasqualetti

Finding a controlled-invariant set for a system with state and control constraints is crucial for safety-critical applications. However, existing methods often produce overly conservative solutions. This paper presents a method for…

Systems and Control · Electrical Eng. & Systems 2025-08-12 Naeim Ebrahimi Toulkani , Reza Ghabcheloo

We propose distributed iterative algorithms for safe control design and safety verification for networked multi-agent systems. These algorithms rely on distributing a control barrier function (CBF) related quadratic programming (QP) problem…

Systems and Control · Electrical Eng. & Systems 2025-11-25 Han Wang , Antonis Papachristodoulou , Kostas Margellos

The barrier function method for safety control typically assumes the availability of full state information. Unfortunately, in many scenarios involving uncertain dynamical systems, full state information is often unavailable. In this paper,…

Systems and Control · Electrical Eng. & Systems 2023-08-02 Binghan He , Takashi Tanaka

In this article, we propose a tractable nonlinear fault isolation filter along with explicit performance bounds for a class of nonlinear dynamical systems. We consider the presence of additive and multiplicative faults, occurring…

Optimization and Control · Mathematics 2022-04-27 Chris van der Ploeg , Mohsen Alirezaei , Nathan van de Wouw , Peyman Mohajerin Esfahani

This paper studies safety and feasibility guarantees for systems with tight control bounds. It has been shown that stabilizing an affine control system while optimizing a quadratic cost and satisfying state and control constraints can be…

Optimization and Control · Mathematics 2024-09-10 Shuo Liu , Wei Xiao , Calin A. Belta

We study feasibility guarantees for safety filters developed using Control Barrier Functions (CBFs) when a safe set is defined using the pointwise minimum of continuously differentiable functions, a construction that is common for the…

Optimization and Control · Mathematics 2026-04-13 Anil Alan , Bart De Schutter