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Optimal control problems with constraints ensuring safety and convergence to desired states can be mapped onto a sequence of real time optimization problems through the use of Control Barrier Functions (CBFs) and Control Lyapunov Functions…

系统与控制 · 电气工程与系统科学 2019-12-10 Wei Xiao , Calin A. Belta , Christos G. Cassandras

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…

系统与控制 · 电气工程与系统科学 2022-04-12 Hengbo Ma , Bike Zhang , Masayoshi Tomizuka , Koushil Sreenath

It has been shown that optimizing quadratic costs while stabilizing affine control systems to desired (sets of) states subject to state and control constraints can be reduced to a sequence of Quadratic Programs (QPs) by using Control…

最优化与控制 · 数学 2023-03-17 Wei Xiao , Christos G. Cassandras , Calin A. Belta

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…

系统与控制 · 电气工程与系统科学 2024-09-05 Fernando Castañeda , Jason J. Choi , Wonsuhk Jung , Bike Zhang , Claire J. Tomlin , Koushil Sreenath

Ensuring both performance and safety is critical for autonomous systems operating in real-world environments. While safety filters such as Control Barrier Functions (CBFs) enforce constraints by modifying nominal controllers in real time,…

系统与控制 · 电气工程与系统科学 2025-07-21 Aditya Singh , Aastha Mishra , Manan Tayal , Shishir Kolathaya , Pushpak Jagtap

Safety critical systems involve the tight coupling between potentially conflicting control objectives and safety constraints. As a means of creating a formal framework for controlling systems of this form, and with a view toward automotive…

最优化与控制 · 数学 2018-02-27 Aaron D. Ames , Xiangru Xu , Jessy W. Grizzle , Paulo Tabuada

Recent work showed that stabilizing affine control systems to desired (sets of) states while optimizing quadratic costs and observing state and control constraints can be reduced to quadratic programs (QP) by using control barrier functions…

系统与控制 · 电气工程与系统科学 2020-02-12 Wei Xiao , Calin Belta , Christos G. Cassandras

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

Safety is of paramount importance in control systems to avoid costly risks and catastrophic damages. The control barrier function (CBF) method, a promising solution for safety-critical control, poses a new challenge of enhancing control…

系统与控制 · 电气工程与系统科学 2025-03-26 Shengbo Wang , Ke Li , Zheng Yan , Zhenyuan Guo , Song Zhu , Guanghui Wen , Shiping Wen

Safety is one of the fundamental problems in robotics. Recently, a quadratic program-based control barrier function (CBF) method has emerged as a way to enforce safety-critical constraints. Together with control Lyapunov function (CLF), it…

系统与控制 · 电气工程与系统科学 2022-01-03 Jun Zeng , Bike Zhang , Zhongyu Li , Koushil Sreenath

This paper studies safety and feasibility guarantees for systems with tight control bounds. It has been shown that stabilizing an affine control system while optimizing a quadratic cost and satisfying state and control constraints can be…

最优化与控制 · 数学 2024-09-10 Shuo Liu , Wei Xiao , Calin A. Belta

This paper studies safety guarantees for systems with time-varying control bounds. It has been shown that optimizing quadratic costs subject to state and control constraints can be reduced to a sequence of Quadratic Programs (QPs) using…

最优化与控制 · 数学 2024-04-22 Shuo Liu , Wei Xiao , Calin A. Belta

Safety has been a critical issue for the deployment of learning-based approaches in real-world applications. To address this issue, control barrier function (CBF) and its variants have attracted extensive attention for safety-critical…

机器学习 · 计算机科学 2023-05-08 Alaa Eddine Chriat , Chuangchuang Sun

This paper investigates the control barrier function (CBF) based safety-critical control for continuous nonlinear control affine systems using the more efficient online algorithms through time-varying optimization. The idea lies in that…

系统与控制 · 电气工程与系统科学 2023-03-21 Shengbo Wang , Shiping Wen , Yin Yang , Yuting Cao , Kaibo Shi , Tingwen Huang

In this draft article, we consider the problem of achieving safe control of a dynamic system for which the safety index or (control barrier function (loosely)) has relative degree equal to two. We consider parameter affine nonlinear dynamic…

最优化与控制 · 数学 2022-08-26 Jaskaran Singh Grover , Changliu Liu , Katia Sycara

This paper presents a systematic method for synthesizing a Control Barrier Function (CBF) that encodes predictive information into a CBF. Unlike other methods, the synthesized CBF can account for changes and time-variations in the…

系统与控制 · 电气工程与系统科学 2025-04-23 Adrian Wiltz , Dimos V. Dimarogonas

In this article, a globally convergent sequential quadratic programming (SQP) method is developed for multi-objective optimization problems with inequality type constraints. A feasible descent direction is obtained using a linear…

最优化与控制 · 数学 2020-05-20 Md Abu Talhamainuddin Ansary , Geetanjali Panda

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

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),…

最优化与控制 · 数学 2026-03-17 Junjun Xie , Liang Hu , Jiahu Qin , Jun Yang , Huijun Gao

Complex control systems are often described in a layered fashion, represented as higher-order systems where the inputs appear after a chain of integrators. While Control Barrier Functions (CBFs) have proven to be powerful tools for…

系统与控制 · 电气工程与系统科学 2022-04-05 Andrew J. Taylor , Pio Ong , Tamas G. Molnar , Aaron D. Ames
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