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This paper presents a formal framework for collision avoidance in multi-robot systems, wherein an existing controller is modified in a minimally invasive fashion to ensure safety. We build this framework through the use of control barrier…

Robotics · Computer Science 2016-09-05 Li Wang , Aaron Ames , Magnus Egerstedt

Recent advances in Deep Machine Learning have shown promise in solving complex perception and control loops via methods such as reinforcement and imitation learning. However, guaranteeing safety for such learned deep policies has been a…

Robotics · Computer Science 2020-03-03 Tom Hirshberg , Sai Vemprala , Ashish Kapoor

To effectively control complex dynamical systems, accurate nonlinear models are typically needed. However, these models are not always known. In this paper, we present a data-driven approach based on Gaussian processes that learns models of…

Machine Learning · Computer Science 2017-10-17 Li Wang , Evangelos A. Theodorou , Magnus Egerstedt

This paper introduces a safety filter to ensure collision avoidance for multirotor aerial robots. The proposed formalism leverages a single Composite Control Barrier Function from all position constraints acting on a third-order nonlinear…

Robotics · Computer Science 2025-02-07 Marvin Harms , Martin Jacquet , Kostas Alexis

In this paper, we present a novel trajectory planning algorithm for cooperative manipulation with multiple quadrotors using control barrier functions (CBFs). Our approach addresses the complex dynamics of a system in which a team of…

Robotics · Computer Science 2025-03-06 Arpan Pallar , Guanrui Li , Mrunal Sarvaiya , Giuseppe Loianno

Performing swift and agile maneuvers is essential for the safe operation of autonomous mobile robots. Moreover, the presence of time-delay restricts the response time of the system and hinders the safety performance. Thus, this paper…

Robotics · Computer Science 2021-05-03 Azad Ghaffari , Manavendra Desai

Safe control for inherently unstable systems such as quadrotors is crucial. Imposing multiple dynamic constraints simultaneously on the states for safety regulation can be a challenging problem. In this paper, we propose a quadratic…

Systems and Control · Computer Science 2022-03-08 Mouhyemen Khan , Munzir Zafar , Abhijit Chatterjee

Unmanned aerial vehicles (UAVs), specifically quadrotors, have revolutionized various industries with their maneuverability and versatility, but their safe operation in dynamic environments heavily relies on effective collision avoidance…

Robotics · Computer Science 2024-03-18 Manan Tayal , Rajpal Singh , Jishnu Keshavan , Shishir Kolathaya

Safety in terms of collision avoidance for multi-robot systems is a difficult challenge under uncertainty, non-determinism and lack of complete information. This paper aims to propose a collision avoidance method that accounts for both…

Robotics · Computer Science 2020-12-09 Wenhao Luo , Wen Sun , Ashish Kapoor

The utilisation of unmanned aerial vehicles has witnessed significant growth in real-world applications including surveillance tasks, military missions, and transportation deliveries. This letter investigates practical problems of formation…

Systems and Control · Electrical Eng. & Systems 2021-07-29 Anh Tung Nguyen , Ji-Won Lee , Thanh Binh Nguyen , Sung Kyung Hong

In modern robotics, addressing the lack of accurate state space information in real-world scenarios has led to a significant focus on utilizing visuomotor observation to provide safety assurances. Although supervised learning methods, such…

Robotics · Computer Science 2024-09-20 Manan Tayal , Aditya Singh , Pushpak Jagtap , Shishir Kolathaya

This paper develops and experimentally evaluates a navigation function for quadrotor formation flight that is resilient to abrupt quadrotor failures and other obstacles. The navigation function is based on modeling healthy quadrotors as…

Robotics · Computer Science 2022-03-04 Matthew Romano , Harshvardhan Uppaluru , Hossein Rastgoftar , Ella Atkins

Quadrotors can provide services such as infrastructure inspection and search-and-rescue, which require operating autonomously in cluttered environments. Autonomy is typically achieved with receding-horizon planning, where a short plan is…

Robotics · Computer Science 2019-06-19 Shreyas Kousik , Patrick Holmes , Ramanarayan Vasudevan

Barrier certificates are scalar functions over the state space of dynamical systems that separate all unsafe states from all reachable states. The existence of a barrier certificate formally verifies the safety of the dynamical system.…

Systems and Control · Electrical Eng. & Systems 2026-05-05 Miriam Kranzlmüller , Lukas Koller , Tobias Ladner , Matthias Althoff

In this paper, we present an algorithm for synthesizing certificates---so-called barrier certificates---for safety of hybrid dynamical systems. Unlike the usual approach of using constraint solvers to compute the certificate from the system…

Systems and Control · Computer Science 2018-10-23 Stefan Ratschan

The goal of this paper is certifying safety of dynamical systems subject to uncertainty. Existing approaches use trajectory data to estimate transition probabilities, and compute safety probabilities recursively via dynamic programming…

Artificial Intelligence · Computer Science 2026-05-08 Oliver Schön , Licio Romao , Sadegh Soudjani

This paper proposes a cascaded control framework for quadrotor trajectory tracking with formal safety guarantees. First, we design a controller consisting of an outer-loop position model predictive control (MPC) and an inner-loop nonlinear…

Systems and Control · Electrical Eng. & Systems 2025-10-08 Ming Gao , Zhanglin Shangguan , Shuo Liu , Liang Wu , Bo Yang , Wei Xiao

This work presents a convex optimization framework for the planning and tracking of quadcopter trajectories with continuous-time safety guarantees. Using B-spline basis functions and the differential flatness property of quadcopters, a…

Optimization and Control · Mathematics 2026-04-28 Victor Freire , Xiangru Xu

Collision-free flight in cluttered environments is a critical capability for autonomous quadrotors. Traditional methods often rely on detailed 3D map construction, trajectory generation, and tracking. However, this cascade pipeline can…

Robotics · Computer Science 2025-08-12 Linzuo Zhang , Yu Hu , Yang Deng , Feng Yu , Danping Zou

This paper presents a safe learning framework that employs an adaptive model learning algorithm together with barrier certificates for systems with possibly nonstationary agent dynamics. To extract the dynamic structure of the model, we use…

Machine Learning · Computer Science 2019-08-07 Motoya Ohnishi , Li Wang , Gennaro Notomista , Magnus Egerstedt
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