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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

A stochastic model predictive control (MPC) framework is presented in this paper for nonlinear affine systems with stability and feasibility guarantee. We first introduce the concept of stochastic control Lyapunov-barrier function (CLBF)…

系统与控制 · 电气工程与系统科学 2024-01-30 Weijiang Zheng , Bing Zhu

This paper introduces harmonic control Lyapunov barrier functions (harmonic CLBF) that aid in constrained control problems such as reach-avoid problems. Harmonic CLBFs exploit the maximum principle that harmonic functions satisfy to encode…

最优化与控制 · 数学 2024-03-27 Amartya Mukherjee , Ruikun Zhou , Haocheng Chang , Jun Liu

This contribution presents a robot path-following framework via Reactive Model Predictive Contouring Control (RMPCC) that successfully avoids obstacles, singularities and self-collisions in dynamic environments at 100 Hz. Many…

机器人学 · 计算机科学 2025-08-14 Junheon Yoon , Woo-Jeong Baek , Jaeheung Park

This paper presents an efficient and safe method to avoid static and dynamic obstacles based on LiDAR. First, point cloud is used to generate a real-time local grid map for obstacle detection. Then, obstacles are clustered by DBSCAN…

机器人学 · 计算机科学 2022-09-20 Zhuozhu Jian , Zihong Yan , Xuanang Lei , Zihong Lu , Bin Lan , Xueqian Wang , Bin Liang

This paper addresses the problem of guaranteeing safety of multiple coordinated agents moving in dynamic environments. It has recently been shown that this problem can be efficiently solved through the notion of Control Barrier Functions…

系统与控制 · 电气工程与系统科学 2025-04-11 Aurora Haraldsen , Josef Matous , Kristin Y. Pettersen

In this study, we propose a novel method that integrates Nonlinear Model Predictive Contour Control (NMPCC) with an Exponentially Stabilizing Control Lyapunov Function (ES-CLF) and Exponential Higher-Order Control Barrier Functions to…

系统与控制 · 电气工程与系统科学 2024-11-04 Bryan S. Guevara , Viviana Moya , Luis F. Recalde , David Pozo-Espin , Daniel C. Gandolfo , Juan M. Toibero

This paper establishes relationships between continuous-time, receding horizon, nonlinear model predictive control (MPC) and control Lyapunov and control barrier functions (CLF/CBF). We show that, if the cost function "behaves well" for…

最优化与控制 · 数学 2025-09-29 Jan Olucak , Arthur Castello B. de Oliveira , Torbjørn Cunis

Optimal stabilization of safety-critical nonlinear systems requires balancing long-term performance and strict safety constraints. Existing quadratic-programming-based control barrier function (CBF) safety filters are point-wise and may…

系统与控制 · 电气工程与系统科学 2026-04-13 Zhanglin Shangguan , Wei Xiao , Qi Li , Bo Yang , Xinping Guan

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

This paper presents a framework for enabling safe velocity control of general robotic systems using data-driven model-free Control Barrier Functions (CBFs). Model-free CBFs rely on an exponentially stable velocity controller and a design…

系统与控制 · 电气工程与系统科学 2025-06-10 Zhe Shen , Yitaek Kim , Christoffer Sloth

We consider the problem of an agent/robot with non-holonomic kinematics avoiding many dynamic obstacles. State and velocity noise of both the robot and obstacles as well as the robot's control noise are modelled as non-parametric…

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…

In this work, we address the problem of ensuring real-time safety in autonomous robot navigation, in spatially constrained dynamic environments, by utilizing only onboard sensors. We present a real-time control architecture that integrates…

Autonomy advances have enabled robots in diverse environments and close human interaction, necessitating controllers with formal safety guarantees. This paper introduces an experimental platform designed for the validation and demonstration…

机器人学 · 计算机科学 2023-10-18 Bhavya Giri Goswami , Manan Tayal , Karthik Rajgopal , Pushpak Jagtap , Shishir Kolathaya

Safety-critical control is essential for humanoid robots operating in complex human-centered environments, where physical safety constraints such as joint limits, self-collision avoidance, obstacle avoidance, and workspace boundaries must…

机器人学 · 计算机科学 2026-05-26 Kwanwoo Lee , Sanghyuk Park , Gyeongjae Park , Myeong-Ju Kim , Jaeheung Park

This paper presents a time-varying soft-maximum composite control barrier function (CBF) that can be used to ensure safety in an a priori unknown environment, where local perception information regarding the safe set is periodically…

系统与控制 · 电气工程与系统科学 2024-03-26 Amirsaeid Safari , Jesse B. Hoagg

This paper presents a safety-critical approach to the coordination of robots in dynamic environments. To this end, we leverage control barrier functions (CBFs) with the forward reachable set to guarantee the safe coordination of the robots…

机器人学 · 计算机科学 2023-12-15 Jeeseop Kim , Jaemin Lee , Aaron D. Ames

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

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