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This paper presents novel theoretical results to guarantee multi-agent set invariance using Matrix Control Barrier Functions in sampled-data systems. More specifically, the paper presents conditions under which heterogeneous control-affine…

Optimization and Control · Mathematics 2026-03-20 James Usevitch

This work develops a robust adaptive control strategy for discrete-time systems using Control Barrier Functions (CBFs) to ensure safety under parametric model uncertainty and disturbances. A key contribution of this work is establishing a…

Systems and Control · Electrical Eng. & Systems 2026-02-05 Changrui Liu , Anil Alan , Shengling Shi , Bart De Schutter

Control Barrier Functions (CBFs) have become a popular tool for enforcing set invariance in safety-critical control systems. While guaranteeing safety, most CBF approaches are myopic in the sense that they solve an optimization problem at…

Systems and Control · Electrical Eng. & Systems 2020-08-11 Max Cohen , Calin Belta

Uncertainty-aware controllers that guarantee safety are critical for safety critical applications. Among such controllers, Control Barrier Functions (CBFs) based approaches are popular because they are fast, yet safe. However, most such…

Robotics · Computer Science 2024-07-02 Masoud Ataei , Vikas Dhiman

Constructing a control invariant set with an appropriate shape that fits within a given state constraint is a fundamental problem in safety-critical control but is known to be difficult, especially for large or complex spaces. This paper…

Systems and Control · Electrical Eng. & Systems 2025-07-18 Inkyu Jang , H. Jin Kim

Safety is of great importance in multi-robot navigation problems. In this paper, we propose a control barrier function (CBF) based optimizer that ensures robot safety with both high probability and flexibility, using only sensor…

Robotics · Computer Science 2021-09-17 Yuxiang Cui , Longzhong Lin , Xiaolong Huang , Dongkun Zhang , Yue Wang , Rong Xiong

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

Control barrier functions (CBFs) have been widely used for synthesizing controllers in safety-critical applications. When used as a safety filter, it provides a simple and computationally efficient way to obtain safe controls from a…

Systems and Control · Electrical Eng. & Systems 2023-03-13 Bolun Dai , Heming Huang , Prashanth Krishnamurthy , Farshad Khorrami

Learning-based control has recently shown great efficacy in performing complex tasks for various applications. However, to deploy it in real systems, it is of vital importance to guarantee the system will stay safe. Control Barrier…

Systems and Control · Electrical Eng. & Systems 2024-09-05 Fernando Castañeda , Jason J. Choi , Wonsuhk Jung , Bike Zhang , Claire J. Tomlin , Koushil Sreenath

Control Invariant (CI) sets are instrumental in certifying the safety of dynamical systems. Control Barrier Functions (CBFs) are effective tools to compute such sets, since the zero sublevel sets of CBFs are CI sets. However, computing CBFs…

Systems and Control · Electrical Eng. & Systems 2025-09-05 Sampath Kumar Mulagaleti , Andrea Del Prete

Safety is a fundamental requirement of control systems. Control Barrier Functions (CBFs) are proposed to ensure the safety of the control system by constructing safety filters or synthesizing control inputs. However, the safety guarantee…

Robotics · Computer Science 2024-03-29 Manan Tayal , Hongchao Zhang , Pushpak Jagtap , Andrew Clark , Shishir Kolathaya

Challenges in real-world robotic applications often stem from managing multiple, dynamically varying entities such as neighboring robots, manipulable objects, and navigation goals. Existing multi-agent control strategies face scalability…

Robotics · Computer Science 2024-02-29 Tianxu An , Joonho Lee , Marko Bjelonic , Flavio De Vincenti , Marco Hutter

Safety-critical whole-body robot control demands reactive methods that ensure collision avoidance in real-time. Complementarity constraints and control barrier functions (CBF) have emerged as core tools for ensuring such safety constraints,…

This paper generalizes the control barrier function framework by replacing scalar-valued functions with matrix-valued ones. Specifically, we develop barrier conditions for safe sets defined by matrix inequalities -- both semidefinite and…

Systems and Control · Electrical Eng. & Systems 2025-09-01 Pio Ong , Yicheng Xu , Ryan M. Bena , Faryar Jabbari , Aaron D. Ames

Control barrier functions (CBFs) provide a powerful tool for enforcing safety constraints in control systems, but their direct application to complex, high-dimensional dynamics is often challenging. In many settings, safety certificates are…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Nikolaos Bousias , Charalampia Stamouli , Anastasios Tsiamis , George Pappas

Control barrier functions guarantee safety but typically require accurate system models. Parametric uncertainty invalidates these guarantees. Existing robust methods maintain safety via worst-case bounds, limiting performance, while modular…

Systems and Control · Electrical Eng. & Systems 2026-01-27 Mohammadreza Kamaldar

This work applies universal adaptive control to control barrier functions to achieve forward invariance of a safe set despite the presence of unmatched parametric uncertainties. The approach combines two ideas. The first is to construct a…

Systems and Control · Electrical Eng. & Systems 2022-08-17 Brett T. Lopez , Jean-Jacques Slotine

Safety-critical control tasks with high levels of uncertainty are becoming increasingly common. Typically, techniques that guarantee safety during learning and control utilize constraint-based safety certificates, which can be leveraged to…

Systems and Control · Electrical Eng. & Systems 2023-11-07 Alexandre Capone , Ryan Cosner , Aaron Ames , Sandra Hirche

Many control applications require that a system be constrained to a particular set of states, often termed as safe set. A practical and flexible method for rendering safe sets forward-invariant involves computing control input using Control…

Optimization and Control · Mathematics 2021-06-11 James Usevitch , Kunal Garg , Dimitra Panagou

For nonlinear multi-agent systems with high relative degrees, achieving formation control and obstacle avoidance in a distributed manner remains a significant challenge. To address this issue, we propose a novel distributed safety-critical…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Chao Wang , Shuyuan Zhang , Lei Wang