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We develop an autonomous navigation algorithm for a robot operating in two-dimensional environments cluttered with obstacles having arbitrary convex shapes. The proposed navigation approach relies on a hybrid feedback to guarantee global…

Robotics · Computer Science 2022-08-05 Mayur Sawant , Soulaimane Berkane , Ilia Polusin , 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

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

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 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

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

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

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 work proposes a hybrid framework for car-like robots with obstacle avoidance, global convergence, and safety, where safety is interpreted as path invariance, namely, once the robot converges to the path, it never leaves the path. Given…

Robotics · Computer Science 2025-02-12 Nan Wang , Adeel Akhtar , Ricardo G. Sanfelice

We consider nonconvex obstacle avoidance where a robot described by nonlinear dynamics and a nonconvex shape has to avoid nonconvex obstacles. Obstacle avoidance is a fundamental problem in robotics and well studied in control. However,…

Robotics · Computer Science 2025-04-15 Paul Lutkus , Michelle S. Chong , Lars Lindemann

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 presents a novel method for reformulating non-differentiable collision avoidance constraints into smooth nonlinear constraints using strong duality of convex optimization. We focus on a controlled object whose goal is to avoid…

Optimization and Control · Mathematics 2018-06-12 Xiaojing Zhang , Alexander Liniger , Francesco Borrelli

We revisit the Safety Velocity Cones (SVCs) obstacle avoidance approach for real-time autonomous navigation in an unknown $n$-dimensional environment. We propose a locally Lipschitz continuous implementation of the SVC controller using the…

Systems and Control · Electrical Eng. & Systems 2024-03-14 Lyes Smaili , Soulaimane Berkane

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

This paper introduces a novel approach that integrates future closest point predictions into the distance constraints of a collision avoidance controller, leveraging convex hulls with closest point distance calculations. By addressing…

Obstacle avoidance is an important task in the field of robotics, since the goal of autonomous robot is to reach the destination without collision. Several algorithms have been proposed for obstacle avoidance, having drawbacks and benefits.…

Robotics · Computer Science 2013-06-06 M. Zohaib , M. Pasha , R. A. Riaz , N. Javaid , M. Ilahi , R. D. Khan
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