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Merely pursuing performance may adversely affect the safety, while a conservative policy for safe exploration will degrade the performance. How to balance the safety and performance in learning-based control problems is an interesting yet…

Systems and Control · Electrical Eng. & Systems 2025-01-28 Xinyang Wang , Hongwei Zhang , Shimin Wang , Wei Xiao , Martin Guay

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

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

Control Barrier Functions (CBFs) are becoming popular tools in guaranteeing safety for nonlinear systems and constraints, and they can reduce a constrained optimal control problem into a sequence of Quadratic Programs (QPs) for affine…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Wei Xiao , Christos G. Cassandras , Calin A. Belta , Daniela Rus

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 powerful tools for ensuring safety in nonlinear systems. However, finding valid CBFs that guarantee persistent safety and feasibility remains an open challenge, especially in systems with input…

Robotics · Computer Science 2025-03-05 Taekyung Kim , Robin Inho Kee , Dimitra Panagou

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

Control barrier functions (CBFs) provide an effective framework for enforcing safety in dynamical systems with scalar constraints. However, many safety constraints are more naturally expressed as matrix-valued conditions, such as positive…

Optimization and Control · Mathematics 2026-04-07 Samuel G. Gessow , Pio Ong , Aaron D. Ames , Brett T. Lopez

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

Safety remains a central challenge in control of dynamical systems, particularly when the boundaries of unsafe sets are complex (e.g., nonconvex, nonsmooth) or unknown. This paper proposes a learning-enabled framework for safety-critical…

Systems and Control · Electrical Eng. & Systems 2025-09-16 Shuo Liu , Zhe Huang , Jun Zeng , Koushil Sreenath , Calin A. Belta

Safety is one of the fundamental problems in robotics. Recently, one-step or multi-step optimal control problems for discrete-time nonlinear dynamical system were formulated to offer tracking stability using control Lyapunov functions…

Systems and Control · Electrical Eng. & Systems 2021-10-04 Jun Zeng , Zhongyu Li , Koushil Sreenath

As autonomous systems become more ubiquitous in daily life, ensuring high performance with guaranteed safety is crucial. However, safety and performance could be competing objectives, which makes their co-optimization difficult.…

Robotics · Computer Science 2025-05-29 Manan Tayal , Aditya Singh , Shishir Kolathaya , Somil Bansal

This paper proposes a safety-critical control design approach for nonlinear control affine systems in the presence of matched and unmatched uncertainties. Our constructive framework couples control barrier function (CBF) theory with a new…

Systems and Control · Electrical Eng. & Systems 2025-02-03 Ersin Das , Joel W. Burdick

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

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

Quadratic Program(QP) based state-feedback controllers, whose inequality constraints bound the rate of change of control barrier(CBFs) and lyapunov function with a class-$\mathcal{K}$ function of their values, are sensitive to the…

Optimization and Control · Mathematics 2022-06-17 Hardik Parwana , Dimitra Panagou

Designing safety-critical controllers for acceleration-controlled unicycle robots is challenging, as control inputs may not appear in the constraints of control Lyapunov functions(CLFs) and control barrier functions (CBFs), leading to…

Robotics · Computer Science 2025-03-11 Jihao Huang , Jun Zeng , Xuemin Chi , Koushil Sreenath , Zhitao Liu , Hongye Su

Learning-based control with safety guarantees usually requires real-time safety certification and modifications of possibly unsafe learning-based policies. The control barrier function (CBF) method uses a safety filter containing a…

Systems and Control · Electrical Eng. & Systems 2024-10-25 Kanghui He , Shengling Shi , Ton van den Boom , Bart De Schutter

The safety of training task policies and their subsequent application using reinforcement learning (RL) methods has become a focal point in the field of safe RL. A central challenge in this area remains the establishment of theoretical…

Robotics · Computer Science 2025-05-02 Chenggang Wang , Xinyi Wang , Yutong Dong , Lei Song , Xinping Guan

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