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This paper studies the design of controllers that guarantee stability and safety of nonlinear control affine systems with parametric uncertainty in both the drift and control vector fields. To this end, we introduce novel classes of robust…

最优化与控制 · 数学 2022-08-12 Max H. Cohen , Calin Belta , Roberto Tron

Balancing safety and performance is one of the predominant challenges in modern control system design. Moreover, it is crucial to robustly ensure safety without inducing unnecessary conservativeness that degrades performance. In this work…

系统与控制 · 电气工程与系统科学 2023-01-02 Anil Alan , Andrew J. Taylor , Chaozhe R. He , Aaron D. Ames , Gabor Orosz

In this paper, we study a safe control design for dynamical systems in the presence of uncertainty in a dynamical environment. The worst-case error approach is considered to formulate robust Control Barrier Functions (CBFs) in an…

系统与控制 · 电气工程与系统科学 2024-02-15 Vahid Hamdipoor , Nader Meskin , Christos G. Cassandras

In a complex real-time operating environment, external disturbances and uncertainties adversely affect the safety, stability, and performance of dynamical systems. This paper presents a robust stabilizing safety-critical controller…

系统与控制 · 电气工程与系统科学 2022-04-29 Ersin Daş , Richard M. Murray

This paper presents a new approach for guaranteed safety subject to input constraints (e.g., actuator limits) using a composition of multiple control barrier functions (CBFs). First, we present a method for constructing a single CBF from…

系统与控制 · 电气工程与系统科学 2024-09-10 Pedram Rabiee , Jesse B. Hoagg

Inspired by the success of imitation and inverse reinforcement learning in replicating expert behavior through optimal control, we propose a learning based approach to safe controller synthesis based on control barrier functions (CBFs). We…

系统与控制 · 电气工程与系统科学 2020-11-10 Alexander Robey , Haimin Hu , Lars Lindemann , Hanwen Zhang , Dimos V. Dimarogonas , Stephen Tu , Nikolai Matni

Learning from Demonstration (LfD) is a powerful method for enabling robots to perform novel tasks as it is often more tractable for a non-roboticist end-user to demonstrate the desired skill and for the robot to efficiently learn from the…

机器人学 · 计算机科学 2023-03-08 Yue Yang , Letian Chen , Matthew Gombolay

Set invariance techniques such as control barrier functions (CBFs) can be used to enforce time-varying constraints such as keeping a safe distance from dynamic objects. However, existing methods for enforcing time-varying constraints often…

机器人学 · 计算机科学 2025-11-19 Yitaek Kim , Christoffer Sloth

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

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…

系统与控制 · 电气工程与系统科学 2026-01-27 Mohammadreza Kamaldar

Control Barrier Function (CBF) is an emerging method that guarantees safety in path planning problems by generating a control command to ensure the forward invariance of a safety set. Most of the developments up to date assume availability…

系统与控制 · 电气工程与系统科学 2024-07-02 Chuyuan Tao , Wenbin Wan , Junjie Gao , Bihao Mo , Hunmin Kim , Naira Hovakimyan

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…

系统与控制 · 电气工程与系统科学 2026-02-05 Changrui Liu , Anil Alan , Shengling Shi , Bart De Schutter

This tutorial paper presents recent work of the authors that extends the theory of Control Barrier Functions (CBFs) to address practical challenges in the synthesis of safe controllers for autonomous systems and robots. We present novel…

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…

系统与控制 · 电气工程与系统科学 2022-10-12 Bolun Dai , Prashanth Krishnamurthy , Farshad Khorrami

In this paper we present the implementation of a Control Barrier Function (CBF) using a quadratic program (QP) formulation that provides obstacle avoidance for a robotic manipulator arm system. CBF is a control technique that has emerged…

机器人学 · 计算机科学 2022-11-22 Stephen McIlvanna , Nhat Nguyen Minh , Yuzhu Sun , Mien Van , Wasif Naeem

Optimal control methods provide solutions to safety-critical problems but easily become intractable. Control Barrier Functions (CBFs) have emerged as a popular technique that facilitates their solution by provably guaranteeing safety,…

系统与控制 · 电气工程与系统科学 2025-02-21 Ehsan Sabouni , H. M. Sabbir Ahmad , Vittorio Giammarino , Christos G. Cassandras , Ioannis Ch. Paschalidis , Wenchao Li

Reinforcement learning (RL) has proven to be particularly effective in solving complex decision-making problems for a wide range of applications. Safe reinforcement learning refers to a class of constrained problems where the constraint…

系统与控制 · 电气工程与系统科学 2026-05-13 Dhruv Singh Kushwaha , Zoleikha Abdollahi Biron

Control barrier function (CBF) has recently started to serve as a basis to develop approaches for enforcing safety requirements in control systems. However, constructing such function for a general system is a non-trivial task. This paper…

系统与控制 · 电气工程与系统科学 2023-01-02 Zihao Liang , Jason King Ching Lo

Optimal control strategies are often combined with safety certificates to ensure both performance and safety in safety-critical systems. A prominent example is combining Model Predictive Control (MPC) with Control Barrier Functions (CBF).…

系统与控制 · 电气工程与系统科学 2025-12-05 Kerim Dzhumageldyev , Filippo Airaldi , Azita Dabiri

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…

机器人学 · 计算机科学 2024-03-29 Manan Tayal , Hongchao Zhang , Pushpak Jagtap , Andrew Clark , Shishir Kolathaya