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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…

系统与控制 · 电气工程与系统科学 2020-08-11 Max Cohen , Calin Belta

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…

机器人学 · 计算机科学 2025-09-22 Shuo Liu , Zhe Huang , Calin A. Belta

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…

系统与控制 · 电气工程与系统科学 2023-12-06 Ming Li , Zhiyong Sun

Learning-based methods are powerful in handling complex scenarios. However, it is still challenging to use learning-based methods under uncertain environments while stability, safety, and real-time performance of the system are desired to…

机器人学 · 计算机科学 2022-03-08 Zhixuan Wu , Rui Yang , Lei Zheng , Hui Cheng

We study the prescribed-time reach-avoid (PT-RA) control problem for nonlinear systems with unknown dynamics operating in environments with moving obstacles. Unlike robust or learning based Control Barrier Function (CBF) methods, the…

系统与控制 · 电气工程与系统科学 2026-05-08 Shubham Sawarkar , Pushpak Jagtap

In this paper, we propose a safety-critical controller based on time-varying control barrier functions (CBFs) for a robot with an unicycle model in the continuous-time domain to achieve navigation and dynamic collision avoidance. Unlike…

机器人学 · 计算机科学 2023-07-18 Jihao Huang , Zhitao Liu , Jun Zeng , Xuemin Chi , Hongye Su

Adaptive control provides closed-loop stability and reference tracking for uncertain dynamical systems through online parameter adaptation. These properties alone, however, do not ensure safety in the sense of forward invariance of state…

系统与控制 · 电气工程与系统科学 2026-03-17 Johannes Autenrieb , Peter A. Fisher , Anuradha Annaswamy

Designing safety-critical control for robotic manipulators is challenging, especially in a cluttered environment. First, the actual trajectory of a manipulator might deviate from the planned one due to the complex collision environments and…

机器人学 · 计算机科学 2022-11-14 Xuda Ding , Han Wang , Yi Ren , Yu Zheng , Cailian Chen , Jianping He

This paper addresses the challenge of safe navigation for rigid-body mobile robots in dynamic environments. We introduce an analytic approach to compute the distance between a polygon and an ellipse, and employ it to construct a control…

机器人学 · 计算机科学 2024-05-01 Kehan Long , Khoa Tran , Melvin Leok , Nikolay Atanasov

Endowing nonlinear systems with safe behavior is increasingly important in modern control. This task is particularly challenging for real-life control systems that must operate safely in dynamically changing environments. This paper…

系统与控制 · 电气工程与系统科学 2022-12-06 Tamas G. Molnar , Adam K. Kiss , Aaron D. Ames , Gábor Orosz

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…

机器人学 · 计算机科学 2026-03-25 Jianye Xu , Chang Che , Bassam Alrifaee

Control barrier functions (CBFs) offer a powerful tool for enforcing safety specifications in control synthesis. This paper deals with the problem of constructing valid CBFs. Given a second-order system and any desired safety set with…

系统与控制 · 电气工程与系统科学 2025-03-17 Mohammed Alyaseen , Nikolay Atanasov , Jorge Cortes

Mobile robots are desired with resilience to safely interact with prior-unknown environments and finally accomplish given tasks. This paper utilizes instantaneous local sensory data to stimulate the safe feedback motion planning (SFMP)…

系统与控制 · 电气工程与系统科学 2024-11-05 Cong Li , Zengjie Zhang , Ahmed Nesrin , Qingchen Liu , Fangzhou Liu , Martin Buss

This work proposes a hybrid framework for car-like robots with obstacle avoidance, global convergence, and safety, where safety is interpreted as path invariance, namely, once the robot converges to the path, it never leaves the path. Given…

机器人学 · 计算机科学 2025-02-12 Nan Wang , Adeel Akhtar , Ricardo G. Sanfelice

It has been shown that satisfying state and control constraints while optimizing quadratic costs subject to desired (sets of) state convergence for affine control systems can be reduced to a sequence of quadratic programs (QPs) by using…

最优化与控制 · 数学 2020-11-18 Wei Xiao , Calin Belta , Christos G. Cassandras

We address the problem of optimizing the performance of a dynamic system while satisfying hard safety constraints at all times. Implementing an optimal control solution is limited by the computational cost required to derive it in real…

系统与控制 · 电气工程与系统科学 2020-08-19 Wei Xiao , Christos G. Cassandras , Calin A. Belta

This paper studies control synthesis for a general class of nonlinear, control-affine dynamical systems under additive disturbances and state-estimation errors. We enforce forward invariance of static and dynamic safe sets and convergence…

最优化与控制 · 数学 2021-04-14 Kunal Garg , Dimitra Panagou

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…

机器人学 · 计算机科学 2024-12-02 Shuo Yang , Yu Chen , Xiang Yin , George J. Pappas , Rahul Mangharam

Control Barrier Functions (CBFs) have emerged as a powerful tool in the design of safety-critical controllers for nonlinear systems. In modern applications, complex systems often involve the feedback interconnection of subsystems evolving…

最优化与控制 · 数学 2026-04-03 Stefano Di Gregorio , Guido Carnevale , Giuseppe Notarstefano

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…

系统与控制 · 电气工程与系统科学 2021-10-04 Jun Zeng , Zhongyu Li , Koushil Sreenath