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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

This work studies the design of safe control policies for large-scale non-linear systems operating in uncertain environments. In such a case, the robust control framework is a principled approach to safety that aims to maximize the…

Systems and Control · Computer Science 2019-03-04 Edouard Leurent , Yann Blanco , Denis Efimov , Odalric-Ambrym Maillard

A flexible active safety motion (FASM) control approach is proposed for the avoidance of dynamic obstacles and the reference tracking in robot manipulators. The distinctive feature of the proposed method lies in its utilization of control…

Robotics · Computer Science 2024-05-22 Jinhao Liu , Jun Yang , Jianliang Mao , Tianqi Zhu , Qihang Xie , Yimeng Li , Xiangyu Wang , Shihua Li

Robots deployed in unstructured, real-world environments operate under considerable uncertainty due to imperfect state estimates, model error, and disturbances. Given this real-world context, the goal of this paper is to develop controllers…

Systems and Control · Electrical Eng. & Systems 2023-02-27 Ryan K. Cosner , Preston Culbertson , Andrew J. Taylor , Aaron D. Ames

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

Modern autonomous systems, such as flying, legged, and wheeled robots, are generally characterized by high-dimensional nonlinear dynamics, which presents challenges for model-based safety-critical control design. Motivated by the success of…

Systems and Control · Electrical Eng. & Systems 2024-09-21 Max H. Cohen , Tamas G. Molnar , Aaron D. Ames

Safety filters leveraging control barrier functions (CBFs) are highly effective for enforcing safe behavior on complex systems. It is often easier to synthesize CBFs for a Reduced order Model (RoM), and track the resulting safe behavior on…

Systems and Control · Electrical Eng. & Systems 2024-12-09 William D. Compton , Max H. Cohen , Aaron D. Ames

Applications that require multi-robot systems to operate independently for extended periods of time in unknown or unstructured environments face a broad set of challenges, such as hardware degradation, changing weather patterns, or…

Robotics · Computer Science 2021-04-16 Yousef Emam , Paul Glotfelter , Sean Wilson , Gennaro Notomista , Magnus Egerstedt

Modern nonlinear control theory seeks to endow systems with properties of stability and safety, and have been deployed successfully in multiple domains. Despite this success, model uncertainty remains a significant challenge in synthesizing…

Systems and Control · Electrical Eng. & Systems 2019-12-24 Andrew Taylor , Andrew Singletary , Yisong Yue , Aaron Ames

We present an optimisation-based approach to ensure robust asymptotic stability stability of a desired set in the state space of nonlinear dynamical systems, while optimising a general control objective. The approach relies on the decrease…

Systems and Control · Electrical Eng. & Systems 2025-03-26 Alexandre Didier , Melanie N. Zeilinger

This paper presents a hybrid control framework with a risk-budgeted monitor for safety-certified autonomous driving. A sliding-window monitor tracks insufficient barrier residuals and triggers switching from a relaxed control barrier…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Pei Yu Chang , Vishnu Renganathan , Qadeer Ahmed

Safe reinforcement learning (RL) with assured satisfaction of hard state constraints during training has recently received a lot of attention. Safety filters, e.g., based on control barrier functions (CBFs), provide a promising way for safe…

Robotics · Computer Science 2023-08-30 Yikun Cheng , Pan Zhao , Naira Hovakimyan

This letter addresses the constraint compatibility problem of control barrier functions (CBFs), which occurs when a safety-critical CBF requires a system to apply more control effort than it is capable of generating. This inevitably leads…

Optimization and Control · Mathematics 2024-02-28 Logan E. Beaver

Using control barrier functions (CBFs) as safety filters provides a computationally inexpensive yet effective method for constructing controllers in safety-critical applications. However, using CBFs requires the construction of a valid CBF,…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Bolun Dai , Prashanth Krishnamurthy , Farshad Khorrami

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

In this paper, a safety-critical control strategy for a nonholonomic robot is developed to generate control signals that result in optimal, obstacle-free paths through dynamic environments. We formulate the control synthesis problem as an…

Systems and Control · Electrical Eng. & Systems 2025-03-04 Nhat Nguyen Minh , Stephen McIlvanna , Yuzhu Sun , Yan Jin , Mien Van

Control barrier functions (CBFs) have become a popular tool to enforce safety of a control system. CBFs are commonly utilized in a quadratic program formulation (CBF-QP) as safety-critical constraints. A class $\mathcal{K}$ function in CBFs…

Systems and Control · Electrical Eng. & Systems 2022-04-12 Hengbo Ma , Bike Zhang , Masayoshi Tomizuka , Koushil Sreenath

Dynamic obstacle avoidance is a challenging topic for optimal control and optimization-based trajectory planning problems. Many existing works use Control Barrier Functions (CBFs) to enforce safety constraints for control systems. CBFs are…

Robotics · Computer Science 2025-02-10 Shuo Liu , Yihui Mao , Calin A. Belta

This paper presents a sampled-data framework for the safe navigation of controlled agents in environments cluttered with obstacles governed by uncertain linear dynamics. Collision-free motion is achieved by combining Control Barrier…

Systems and Control · Electrical Eng. & Systems 2026-01-13 Hugo Matias , Daniel Silvestre

This letter studies the dynamical properties of safety filters designed based on Control Barrier Functions (CBF). This mechanism, which is popular in safety-critical applications, takes a nominal controller and minimally modifies it to…

Optimization and Control · Mathematics 2026-03-19 Pol Mestres , Shima Sadat Mousavi , Aaron D. Ames
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