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Related papers: Safe and Quasi-Optimal Autonomous Navigation in Sp…

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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

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

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

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

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 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

The problem of constrained stabilization on the n-sphere under star-shaped constraints is considered. We propose a control strategy that allows to almost globally steer the state to a desired location while avoiding star-shaped constraints…

Optimization and Control · Mathematics 2026-03-05 Mayur Sawant , Abdelhamid Tayebi

Navigating toward a known target in a noisy environment is a fundamental problem shared across biological, physical, and engineered systems. Although optimal strategies are often framed in terms of continuous, fine-grained feedback, we show…

Statistical Mechanics · Physics 2025-12-24 Abhijit Sinha , Sandeep Jangid , Tridib Sadhu , Shankar Ghosh

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

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 presents a framework for safe navigation of a unicycle point robot to a goal position in an environment populated with obstacles from almost any admissible state, considering input limits. We introduce a novel QP formulation to…

Robotics · Computer Science 2026-04-21 Aref Amiri , Basak Sakcak , Steven M. LaValle

This paper presents a robot control algorithm suitable for safe reactive navigation tasks in cluttered environments. The proposed approach consists of transforming the robot workspace into the \emph{ball world}, an artificial representation…

Robotics · Computer Science 2024-11-25 Gennaro Notomista , Gary P. T. Choi , Matteo Saveriano

This paper considers the problem of fast and safe autonomous navigation in partially known environments. Our main contribution is a control policy design based on ellipsoidal trajectory bounds obtained from a quadratic state-dependent…

Robotics · Computer Science 2020-02-27 Zhichao Li , Omur Arslan , Nikolay Atanasov

Collision-free motion is a fundamental requirement for many autonomous systems. This paper develops a safety-critical control approach for the collision-free navigation of polytope-shaped agents in polytope-shaped environments. A systematic…

Systems and Control · Electrical Eng. & Systems 2025-05-26 Tamas G. Molnar

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 rely on Nagumo's invariance theorem to develop a new approach for navigation in unknown environments of arbitrary dimension. The idea consists in projecting the nominal velocities (that would drive the robot to the target in the absence…

Optimization and Control · Mathematics 2020-07-15 Soulaimane Berkane

This brief proposes a quasi time-fuel optimal control strategy to solve the dynamic tracking problem of unmanned systems when fuel and control input are limited. This kind of motion planning and control strategy could bring the biggest…

Popular Physics · Physics 2021-11-25 Huaihang Zheng , Junzheng Wang , Dawei Shi , Dongchen Liu , Shoukun Wang

This paper proposes a coordinate-free controller for a nonholonomic vehicle to circumnavigate a fully-actuated moving target by using range-only measurements. If the range rate is available, our Proportional Derivative (PD)-like controller…

Systems and Control · Electrical Eng. & Systems 2021-11-16 Fei Dong , Keyou You , Lihua Xie , Qinglei Hu
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