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相关论文: Enhancing Feasibility and Safety of Nonlinear Mode…

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The theoretical unification of Nonlinear Model Predictive Control (NMPC) with Control Lyapunov Functions (CLFs) provides a framework for achieving optimal control performance while ensuring stability guarantees. In this paper we present the…

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

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

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 establish a connection between model predictive control (MPC) techniques and Control Barrier Functions (CBFs). Recognizing the similarity between CBFs and Control Lyapunov Functions (CLFs), we propose a MPC formulation…

最优化与控制 · 数学 2025-07-03 Jingyi Huang , Han Wang , Kostas Margellos , Paul Goulart

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

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

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

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

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 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

This paper addresses the challenge of ensuring safety in stochastic control systems with high-relative-degree constraints, while maintaining feasibility and mitigating conservatism in risk evaluation. Control Barrier Functions (CBFs)…

最优化与控制 · 数学 2025-12-08 Shuo Liu , Calin A. Belta

Control Barrier Functions (CBFs) and Control Lyapunov Functions (CLFs) are popular tools for enforcing safety and stability of a controlled system, respectively. They are commonly utilized to build constraints that can be incorporated in a…

系统与控制 · 电气工程与系统科学 2021-10-05 Fernando Castañeda , Jason J. Choi , Bike Zhang , Claire J. Tomlin , Koushil Sreenath

We develop an optimization-free framework for safe stabilization of single-input control-affine nonlinear systems with a given control Lyapunov function (CLF) and a given control barrier function (CBF), where the desired equilibrium lies in…

系统与控制 · 电气工程与系统科学 2026-03-25 Bo Wang , Miroslav Krstic

Implementing obstacle avoidance in dynamic environments is a challenging problem for robots. Model predictive control (MPC) is a popular strategy for dealing with this type of problem, and recent work mainly uses control barrier function…

机器人学 · 计算机科学 2024-04-10 Zetao Lu , Kaijun Feng , Jun Xu , Haoyao Chen , Yunjiang Lou

Control barrier function (CBF)-based safety filters provide a systematic way to enforce state constraints, but they can significantly alter the closed-loop dynamics induced by a nominal, stabilizing controller. In particular, the resulting…

系统与控制 · 电气工程与系统科学 2026-04-03 Yiting Chen , Pol Mestres , Emiliano Dall'Anese , Jorge Cortés

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

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

The optimal performance of robotic systems is usually achieved near the limit of state and input bounds. Model predictive control (MPC) is a prevalent strategy to handle these operational constraints, however, safety still remains an open…

系统与控制 · 电气工程与系统科学 2021-03-24 Jun Zeng , Bike Zhang , Koushil Sreenath

This paper proposes a control design approach for stabilizing nonlinear control systems. Our key observation is that the set of points where the decrease condition of a control Lyapunov function (CLF) is feasible can be regarded as a safe…

最优化与控制 · 数学 2024-08-19 Pol Mestres , Kehan Long , Melvin Leok , Nikolay Atanasov , Jorge Cortes

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
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