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We develop an autonomous navigation algorithm for a robot operating in two-dimensional environments containing obstacles, with arbitrary non-convex shapes, which can be in close proximity with each other, as long as there exists at least…

Robotics · Computer Science 2024-04-16 Mayur Sawant , Ilia Polushin , Abdelhamid Tayebi

This paper addresses the autonomous robot navigation problem in a priori unknown n-dimensional environments containing disjoint convex obstacles of arbitrary shapes and sizes, with pairwise distances strictly greater than the robot's…

Robotics · Computer Science 2025-08-05 Mayur Sawant , Ilia Polushin , Abdelhamid Tayebi

We present a hybrid feedback control framework for autonomous robot navigation in n-dimensional Euclidean spaces cluttered with spherical obstacles. The proposed approach ensures safe and global navigation towards a target location by…

Robotics · Computer Science 2025-10-13 Ishak Cheniouni , Soulaimane Berkane , Abdelhamid Tayebi

In this paper we present a hybrid feedback approach to solve the navigation problem of a point mass in the n-dimensional space containing an arbitrary number of ellipsoidal shape obstacles. The proposed hybrid control algorithm guarantees…

Optimization and Control · Mathematics 2021-06-22 Soulaimane Berkane , Andrea Bisoffi , Dimos V. Dimarogonas

We propose a hybrid feedback control strategy that safely steers a point-mass robot to a target location optimally from all initial conditions in the n-dimensional Euclidean space with a single spherical obstacle. The robot moves straight…

Systems and Control · Electrical Eng. & Systems 2024-03-26 Ishak Cheniouni , Soulaimane Berkane , Abdelhamid Tayebi

This paper considers the problem of robot motion planning in a workspace with obstacles for systems with uncertain 2nd-order dynamics. In particular, we combine closed form potential-based feedback controllers with adaptive control…

Robotics · Computer Science 2020-05-27 Christos K. Verginis , Dimos V. Dimarogonas

For a vehicle moving in an $n$-dimensional Euclidean space, we present a construction of a hybrid feedback that guarantees both global asymptotic stabilization of a reference position and avoidance of an obstacle corresponding to a bounded…

Systems and Control · Computer Science 2021-02-26 Soulaimane Berkane , Andrea Bisoffi , Dimos V. Dimarogonas

We propose a continuous feedback control strategy that steers a point-mass vehicle safely to a destination, in a quasi-optimal manner, in sphere worlds. The main idea consists in avoiding each obstacle via the shortest path on the cone's…

Systems and Control · Electrical Eng. & Systems 2024-05-28 Ishak Cheniouni , Soulaimane Berkane , Abdelhamid Tayebi

Navigation functions provide both path and motion planning, which can be used to ensure obstacle avoidance and convergence in the sphere world. When dealing with complex and realistic scenarios, constructing a transformation to the sphere…

Robotics · Computer Science 2022-10-04 Li Fan , Jianchang Liu , Wenle Zhang , Peng Xu

This paper addresses the problem of autonomous robot navigation in unknown, obstacle-filled environments with second-order dynamics by proposing a Dissipative Avoidance Feedback (DAF). Compared to the Artificial Potential Field (APF), which…

Systems and Control · Electrical Eng. & Systems 2025-04-01 Lyes Smaili , Zhiqi Tang , Soulaimane Berkane , Tarek Hamel

This paper presents a provably correct method for robot navigation in 2D environments cluttered with familiar but unexpected non-convex, star-shaped obstacles as well as completely unknown, convex obstacles. We presuppose a limited range…

Robotics · Computer Science 2018-10-30 Vasileios Vasilopoulos , Daniel E. Koditschek

We study the problem of target stabilization with robust obstacle avoidance in robots and vehicles that have access only to vision-based sensors for the purpose of realtime localization. This problem is particularly challenging due to the…

Robotics · Computer Science 2022-09-07 Alejandro Murillo-Gonzalez , Jorge I. Poveda

This paper presents a method for online trajectory planning in known environments. The proposed algorithm is a fusion of sampling-based techniques and model-based optimization via quadratic programming. The former is used to efficiently…

This paper addresses the problem of safe autonomous navigation in unknown obstacle-filled environments using only local sensory information. We propose a smooth feedback controller derived from an unconstrained penalty-based formulation…

Systems and Control · Electrical Eng. & Systems 2025-11-14 Lyes Smaili , Soulaimane Berkane

This paper explores the design of hybrid feedback for a class of affine nonlinear systems with topological constraints that prevent global asymptotic stability. A new hybrid control strategy is introduced, which differs conceptually from…

Systems and Control · Electrical Eng. & Systems 2024-03-12 Miaomiao Wang , Abdelhamid Tayebi

This work proposes a safety-critical local reactive controller that enables the robot to navigate in unknown and cluttered environments. In particular, the trajectory tracking task is formulated as a constrained polynomial optimization…

Robotics · Computer Science 2023-10-10 Yulin Li , Xindong Tang , Kai Chen , Chunxin Zheng , Haichao Liu , Jun Ma

Navigating robots safely and efficiently in crowded and complex environments remains a significant challenge. However, due to the dynamic and intricate nature of these settings, planning efficient and collision-free paths for robots to…

Robotics · Computer Science 2024-10-22 Zhuanglei Wen , Mingze Dong , Xiai Chen

Convex free regions provide a structured and optimization-friendly representation of collision-free space for robot navigation in unknown and cluttered environments. However, existing methods typically enlarge local collision-free regions…

Robotics · Computer Science 2026-04-28 Zhicheng Song , Yongjian Li , Kai Chen , Yulin Li , Fan Shi , Jun Ma

This paper presents a study on the development of an obstacle-avoidance navigation system for autonomous navigation in home environments. The system utilizes vision-based techniques and advanced path-planning algorithms to enable the robot…

Computer Vision and Pattern Recognition · Computer Science 2023-07-04 Sagar Manglani

This work proposes a novel transformation termed the conformal navigation transformation to achieve collision-free navigation of a robot in a workspace populated with arbitrary polygonal obstacles. The properties of the conformal navigation…

Robotics · Computer Science 2022-08-23 Li Fan , Jianchang Liu
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