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Control barrier functions (CBFs) are a powerful tool for the constrained control of nonlinear systems; however, the majority of results in the literature focus on systems subject to a single CBF constraint, making it challenging to…

系统与控制 · 电气工程与系统科学 2025-09-05 Max H. Cohen , Eugene Lavretsky , Aaron D. Ames

We present an algorithm, based on the Differential Dynamic Programming framework, to handle trajectory optimization problems in which the horizon is determined online rather than fixed a priori. This algorithm exhibits exact one-step…

机器人学 · 计算机科学 2021-11-18 Kyle Stachowicz , Evangelos A. Theodorou

A fundamental and classical problem in mobile autonomous systems is maintaining the safety of autonomous agents during deployment. Prior literature has presented techniques using control barrier functions (CBFs) to achieve this goal. These…

最优化与控制 · 数学 2025-03-18 James Usevitch , Jackson Sahleen

In this study, we are concerned with autonomous driving missions when a static obstacle blocks a given reference trajectory. To provide a realistic control design, we employ a model predictive control (MPC) utilizing nonlinear state-space…

系统与控制 · 电气工程与系统科学 2023-07-13 Maryam Nezami , Dimitrios S. Karachalios , Georg Schildbach , Hossam S. Abbas

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

This article introduces a numerical algorithm that serves as a preliminary step toward solving continuous-time model predictive control (MPC) problems directly without explicit time-discretization. The chief ingredients of the underlying…

最优化与控制 · 数学 2024-01-24 Souvik Das , Siddhartha Ganguly , Muthyala Anjali , Debasish Chatterjee

This paper presents a comprehensive approach for the safety-critical control of robotic manipulators operating in dynamic environments. Building upon the framework of Control Barrier Functions (CBFs), we extend the collision cone…

机器人学 · 计算机科学 2025-03-04 Lucas Almeida

The implementation of optimization-based motion coordination approaches in real world multi-agent systems remains challenging due to their high computational complexity and potential deadlocks. This paper presents a distributed model…

机器人学 · 计算机科学 2021-06-03 Hongyu Zhou , Changliu Liu

In this paper, we propose a method to avoid "no-solution" situations of the control barrier function (CBF) for distributed collision avoidance in a multiagent autonomous robotic system (MARS). MARS, which is composed of distributed…

机器人学 · 计算机科学 2023-11-14 Hiroki Etchu , Yuki Origane , Daisuke Kurabayashi

This paper proposes a new set of conditions for exactly representing collision avoidance constraints within optimization-based motion planning algorithms. The conditions are continuously differentiable and therefore suitable for use with…

机器人学 · 计算机科学 2023-02-21 James Guthrie

Finding robot poses and trajectories represents a foundational aspect of robot motion planning. Despite decades of research, efficiently and robustly addressing these challenges is still difficult. Existing approaches are often plagued by…

机器人学 · 计算机科学 2023-11-06 Chen Liang , Xifeng Gao , Kui Wu , Zherong Pan

Safe path planning is critical for bipedal robots to operate in safety-critical environments. Common path planning algorithms, such as RRT or RRT*, typically use geometric or kinematic collision check algorithms to ensure collision-free…

机器人学 · 计算机科学 2022-10-10 Chengyang Peng , Octavian Donca , Ayonga Hereid

This paper presents an approach for navigation and control in unmapped environments under input and state constraints using a composite control barrier function (CBF). We consider the scenario where real-time perception feedback (e.g.,…

机器人学 · 计算机科学 2025-04-08 Amirsaeid Safari , Jesse B. Hoagg

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

Solving optimal control problems (OCPs) of autonomous agents operating under spatial and temporal constraints fast and accurately is essential in applications ranging from eco-driving of autonomous vehicles to quadrotor navigation. However,…

机器人学 · 计算机科学 2026-01-07 Shiying Dong , Zhipeng Shen , Rudolf Reiter , Hailong Huang , Bingzhao Gao , Hong Chen , Wen-Hua Chen

Model predictive control (MPC) has established itself as the primary methodology for constrained control, enabling general-purpose robot autonomy in diverse real-world scenarios. However, for most problems of interest, MPC relies on the…

机器人学 · 计算机科学 2024-11-01 Davide Celestini , Daniele Gammelli , Tommaso Guffanti , Simone D'Amico , Elisa Capello , Marco Pavone

This paper addresses the problem of safety-critical control for non-affine control systems. It has been shown that optimizing quadratic costs subject to state and control constraints can be sub-optimally reduced to a sequence of quadratic…

系统与控制 · 电气工程与系统科学 2024-02-15 Wei Xiao , Ross Allen , Daniela Rus

We propose a novel approach for navigating in polygonal environments by synthesizing controllers that take as input relative displacement measurements with respect to a set of landmarks. Our algorithm is based on solving a sequence of…

系统与控制 · 电气工程与系统科学 2020-10-13 Mahroo Bahreinian , Erfan Aasi , Roberto Tron

In this paper we present a framework for risk-averse model predictive control (MPC) of linear systems affected by multiplicative uncertainty. Our key innovation is to consider time-consistent, dynamic risk metrics as objective functions to…

最优化与控制 · 数学 2015-11-24 Yin-Lam Chow , Marco Pavone

Control Barrier Functions (CBFs) offer a framework for ensuring set invariance and designing constrained control laws. However, crafting a valid CBF relies on system-specific assumptions and the availability of an accurate system model,…

系统与控制 · 电气工程与系统科学 2025-05-14 Mohammad Bajelani , Klaske van Heusden