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This paper presents a two-stage prediction-based control scheme for embedding the environment's geometric properties into a collision-free Pythagorean Hodograph spline, and subsequently finding the optimal path within the parameterized free…

Robotics · Computer Science 2022-09-07 Jon Arrizabalaga , Markus Ryll

Path following controllers make the output of a control system approach and traverse a pre-specified path with no apriori time parametrization. In this paper we present a method for path following control design applicable to framed curves…

Robotics · Computer Science 2015-12-11 Rajan Gill , Dana Kulić , Christopher Nielsen

In the past few decades polynomial curves with Pythagorean Hodograph (for short PH curves) have received considerable attention due to their usefulness in various CAD/CAM areas, manufacturing, numerical control machining and robotics. This…

Numerical Analysis · Mathematics 2022-05-25 Lucia Romani , Alberto Viscardi

Path following and lateral stability are crucial issues for autonomous vehicles. Moreover, these problems increase in complexity when handling articulated heavy-duty vehicles due to their poor manoeuvrability, large sizes and mass…

Systems and Control · Electrical Eng. & Systems 2020-06-12 Filipe Marques Barbosa , Lucas Barbosa Marcos , Maira Martins da Silva , Marco Henrique Terra , Valdir Grassi

In the real-world, self-driving vehicles are required to achieve steering maneuvers in both uncontrolled and uncertain environments while maintaining high levels of safety and passengers' comfort. Ignoring these requirements would…

Systems and Control · Electrical Eng. & Systems 2020-03-16 Yasir K. Al-Nadawi , Hothaifa Al-Qassab , Daniel Kent , Su Pang , Vaibhav Srivastava , Hayder Radha

The construction of smooth spatial paths with Pythagorean-hodograph (PH) quintic spline biarcs is proposed. To facilitate real-time computations of $C^2$ PH quintic splines, an efficient local data stream interpolation algorithm is…

Numerical Analysis · Mathematics 2021-08-31 Carlotta Giannelli , Lorenzo Sacco , Alessandra Sestini

This article presents an in-depth review of the topic of path following for autonomous robotic vehicles, with a specific focus on vehicle motion in two dimensional space (2D). From a control system standpoint, path following can be…

We propose a new method for constructing rational spatial Pythagorean Hodograph (PH) curves based on determining a suitable rational framing motion. While the spherical component of the framing motion is arbitrary, the translation part is…

Metric Geometry · Mathematics 2022-10-25 Bahar Kalkan , Daniel F. Scharler , Hans-Peter Schröcker , Zbyněk Šír

Precise motion control of underactuated surface vessels is a crucial task in various maritime applications. In this work, we develop a nonlinear motion control strategy for surface vessels inspired by the pursuit guidance philosophy. Any…

Systems and Control · Electrical Eng. & Systems 2026-03-03 Ram Milan Kumar Verma , Shashi Ranjan Kumar , Hemendra Arya

We present an approach to path following using so-called control funnel functions. Synthesizing controllers to "robustly" follow a reference trajectory is a fundamental problem for autonomous vehicles. Robustness, in this context, requires…

Robotics · Computer Science 2018-08-06 Hadi Ravanbakhsh , Sina Aghli , Christoffer Heckman , Sriram Sankaranarayanan

This work proposes a nonlinear model predictive control-based guidance strategy for unmanned surface vehicles, focused on path following. The application of this strategy, in addition to overcome drawbacks of previous line-of-sight-based…

Systems and Control · Electrical Eng. & Systems 2024-02-08 G. Bejarano , J. M. Manzano , J. R. Salvador , D. Limon

This paper studies path synthesis for nonholonomic mobile robots moving in two-dimensional space. We first address the problem of interpolating paths expressed as sequences of straight line segments, such as those produced by some planning…

Robotics · Computer Science 2015-08-12 Stéphane Lens , Bernard Boigelot

This paper addresses the challenging problem of robust path-following for fixed-wing unmanned aerial vehicles (UAVs) in complex environments with bounded external disturbances and non-smooth predefined paths. Due to the unique aerodynamic…

Systems and Control · Electrical Eng. & Systems 2025-07-10 Zimao Sheng , Hong'an Yang , Shuxiang Yang , Zirui Yu

Driving vehicles in complex scenarios under harsh conditions is the biggest challenge for autonomous vehicles (AVs). To address this issue, we propose hierarchical motion planning and robust control strategy using the front-active steering…

Robotics · Computer Science 2024-02-08 Hung Duy Nguyen , Minh Nhat Vu , Nguyen Ngoc Nam , Kyoungseok Han

Path planning and collision avoidance are challenging in complex and highly variable environments due to the limited horizon of events. In literature, there are multiple model- and learning-based approaches that require significant…

Robotics · Computer Science 2022-06-22 Carlo Tiseo , Vladimir Ivan , Wolfgang Merkt , Ioannis Havoutis , Michael Mistry , Sethu Vijayakumar

Trajectory planning is a critical component in ensuring the safety, stability, and efficiency of autonomous vehicles. While existing trajectory planning methods have achieved progress, they often suffer from high computational costs,…

We present a configurable trajectory planning strategy on planar paths for offline definition of time-dependent C2 piecewise quintic feedrates. The more conservative formulation ensures chord tolerance, as well as prescribed bounds on…

Numerical Analysis · Mathematics 2017-11-23 Carlotta Giannelli , Duccio Mugnaini , Alessandra Sestini

In this study, we detail the procedures for designing gain scheduling controllers by Linear Quadratic $H_\infty$ robust optimization methods in Linear Matrix Inequalities (LMI) framework. The controllers are aimed at steering control of the…

Optimization and Control · Mathematics 2020-10-30 Ali Boyali , Lyu Zheming , Vijay John , Rathour Swarn , Seichi Mita

Automated Vehicle Path Following Control (PFC) is an advanced control system that can regulate the vehicle into a collision-free region in the presence of other objects on the road. Common collision avoidance functions, such as forward…

Systems and Control · Electrical Eng. & Systems 2023-10-20 Dan Shen

In this paper, we propose a computationally efficient quadratic programming (QP) approach for generating smooth, $C^1$ continuous paths for mobile robots using piece-wise quadratic Bezier (PWB) curves. Our method explicitly incorporates…

Robotics · Computer Science 2025-10-30 Iancu Andrei , Marius Kloetzer , Cristian Mahulea , Catalin Dosoftei
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