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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

Reinforcement learning (RL) exhibits impressive performance when managing complicated control tasks for robots. However, its wide application to physical robots is limited by the absence of strong safety guarantees. To overcome this…

机器人学 · 计算机科学 2023-05-18 Desong Du , Shaohang Han , Naiming Qi , Haitham Bou Ammar , Jun Wang , Wei Pan

Recent work has shown that stabilizing an affine control system to a desired state while optimizing a quadratic cost subject to state and control constraints can be reduced to a sequence of Quadratic Programs (QPs) by using Control Barrier…

系统与控制 · 电气工程与系统科学 2021-02-16 Wei Xiao , Calin A. Belta , Christos G. Cassandras

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…

系统与控制 · 电气工程与系统科学 2025-03-04 Nhat Nguyen Minh , Stephen McIlvanna , Yuzhu Sun , Yan Jin , Mien Van

We present verifiable conditions for synthesizing a single smooth Lyapunov function that certifies both asymptotic stability and safety under bounded controls. These sufficient conditions ensure the strict compatibility of a control barrier…

系统与控制 · 电气工程与系统科学 2025-11-14 Jun Liu

This paper addresses the challenge of safe stabilization, ensuring the system state reach the origin while avoiding unsafe regions. Existing approaches relying on smooth Lyapunov barrier functions often fail to guarantee a feasible…

系统与控制 · 电气工程与系统科学 2025-04-08 Jianglin Lan , Eldert van Henten , Peter Groot Koerkamp , Congcong Sun

This paper studies the problem of finite-time convergence to a prescribed safe set for nonlinear systems whose initial states violate the safety constraints. Existing Control Lyapunov-Barrier Functions (CLBFs) can enforce recovery to the…

系统与控制 · 电气工程与系统科学 2026-03-27 Anni Li , Yingqing Chen , Christos G. Cassandras , Wei Xiao

Safe navigation for multi-robot systems requires enforcing safety without sacrificing task efficiency under decentralized decision-making. Existing decentralized methods often assume robot homogeneity, making shared safety requirements…

机器人学 · 计算机科学 2026-04-16 Joonkyung Kim , Yanze Zhang , Wenhao Luo , Yiwei Lyu

Control Lyapunov Functions (CLFs) and Control Barrier Functions (CBFs) can be combined, typically by means of Quadratic Programs (QPs), to design controllers that achieve performance and safety objectives. However, a significant limitation…

系统与控制 · 电气工程与系统科学 2026-03-18 Hugo Matias , Daniel Silvestre

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

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

Adaptive Control Lyapunov Functions (aCLFs) were introduced 20 years ago, and provided a Lyapunov-based methodology for stabilizing systems with parameter uncertainty. The goal of this paper is to revisit this classic formulation in the…

系统与控制 · 电气工程与系统科学 2020-11-20 Andrew J. Taylor , Aaron D. Ames

Robots operating alongside people, particularly in sensitive scenarios such as aiding the elderly with daily tasks or collaborating with workers in manufacturing, must guarantee safety and cultivate user trust. Continuum soft manipulators…

机器人学 · 计算机科学 2025-10-20 Kiwan Wong , Maximilian Stölzle , Wei Xiao , Cosimo Della Santina , Daniela Rus , Gioele Zardini

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

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

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…

机器人学 · 计算机科学 2021-09-17 Yuxiang Cui , Longzhong Lin , Xiaolong Huang , Dongkun Zhang , Yue Wang , Rong Xiong

Achieving highly dynamic behaviors on humanoid robots, such as running, requires controllers that are both robust and precise, and hence difficult to design. Classical control methods offer valuable insight into how such systems can…

机器人学 · 计算机科学 2025-09-25 Zachary Olkin , Kejun Li , William D. Compton , Aaron D. Ames

Physical human-robot collaboration (pHRC) requires both compliance and safety guarantees since robots coordinate with human actions in a shared workspace. This paper presents a novel fixed-time adaptive neural control methodology for…

机器人学 · 计算机科学 2023-04-27 Yuzhu Sun , Mien Van , Stephen McIlvanna , Nguyen Minh Nhat , Sean McLoone , Dariusz Ceglarek , Shuzhi Sam Ge

In this paper we address the problem of control Lyapunov-barrier function (CLBF)-based safe stabilization for a class of nonlinear control-affine systems. A difficulty may arise for the case when a constraint has the relative degree larger…

系统与控制 · 电气工程与系统科学 2025-09-19 Haechan Pyon , Gyunghoon Park

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
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