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Related papers: Path following of a class of underactuated mechani…

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In this paper we show that a slight modification to the widely popular interconnection and damping assignment passivity-based control method---originally proposed for stabilization of equilibria of nonlinear systems---allows us to provide a…

Systems and Control · Computer Science 2019-11-20 Bowen Yi , Romeo Ortega , Dongjun Wu , Weidong Zhang

In this note we study the generation of attractive oscillations of a class of mechanical systems with underactuation one. The proposed design consists of two terms, i.e., a partial linearizing state feedback, and an immersion and invariance…

Optimization and Control · Mathematics 2022-10-31 Jose Guadalupe Romero , Bowen Yi

Immersion and Invariance is a technique for the design of stabilizing and adaptive controllers and state observers for nonlinear systems. In all these applications the problem considered is the stabilization of equilibrium points. Motivated…

Systems and Control · Computer Science 2019-12-03 Romeo Ortega , Bowen Yi , Jose Guadalupe Romero , Alessandro Astolfi

This paper proposes a novel method for formation path following of multiple underactuated autonomous underwater vehicles. The method combines line-of-sight guidance with null-space-based behavioral control, allowing the vehicles to follow…

Systems and Control · Electrical Eng. & Systems 2022-10-27 Josef Matouš , Kristin Y. Pettersen , Claudio Paliotta

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

The task of inducing, via continuous static state-feedback control, an asymptotically stable heteroclinic orbit in a nonlinear control system is considered in this paper. The main motivation comes from the problem of ensuring convergence to…

Systems and Control · Electrical Eng. & Systems 2023-02-16 Christian Fredrik Sætre , Anton S. Shiriaev

This paper presents a combined sliding-mode control and subspace stabilization methodology for orbital stabilization of periodic trajectories in underactuated mechanical systems with one degree of underactuation. The approach starts with…

Robotics · Computer Science 2025-12-05 Maksim Surov , Leonid Freidovich

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…

In this work, we investigate the state stabilization and trajectory tracking problems of underactuated surface ships with full state model of having non-diagonal inertia and damping matrices. By combining the novel state transformations,…

Optimization and Control · Mathematics 2011-11-07 Ma Bao-Li

In this article a solution to the problem of following a curved path in the presence of a constant unknown ocean current disturbance is presented. The path is parametrised by a path variable that is used to propagate a path-tangential…

Systems and Control · Computer Science 2017-04-04 Mohammed Maghenem , Dennis W. J. Belleter , Claudio Paliotta , Kristin Y. Pettersen

In this article, we address the control problem of unicycle path following, using a rigidly attached target point. The initial path following problem has been transformed into a reference trajectory following problem, using saturated…

Optimization and Control · Mathematics 2013-03-22 S. Laghrouche , Y. Chitour , M. Harmouche , F. S. Ahmed

This paper solves the problem of station-keeping control of a surface vessel under conditions of sinusoidal disturbances with unknown parameters. The proposed control algorithm is based on the geometric approach with the use of the adaptive…

Systems and Control · Electrical Eng. & Systems 2021-10-20 O. I. Borisov , F. B. Gromova , A. Iu. Zhivitckii , A. A. Pyrkin

This paper addresses the problem of guidance and control of underwater vehicles. A multi-level control strategy is used to determine (1) outer-loop path-following commands and (2) inner-loop actuation commands. Specifically, a line-of-sight…

Systems and Control · Electrical Eng. & Systems 2022-04-25 Nicholas Rober , Maxwell Hammond , Venanzio Cichella , Juan E. Martin , Pablo Carrica

The main objective of this paper is to propose an alternative procedure to carry out one of the key steps of immersion and invariance stabilising controller design. Namely, the one that ensures attractivity of the manifold whose internal…

Systems and Control · Computer Science 2016-11-18 Lei Wang , Fulvio Forni , Romeo Ortega , Hongye Su

This paper proposes a formation control method for two underactuated unmanned surface vessels (USVs) to follow curved paths in the presence of ocean currents. By uniting a line-of-sight (LOS) guidance law and the null-spacebased behavioral…

Systems and Control · Electrical Eng. & Systems 2020-11-11 Å. Eek , K. Y. Pettersen , E. -L. M. Ruud , T. R. Krogstad

The operation of an autonomous underwater vehicle (AUV) faces challenges in following predetermined waypoints due to coupled motions under environmental disturbances. To address this, a 3D path following guidance and control system is…

Systems and Control · Electrical Eng. & Systems 2024-09-30 Isah A. Jimoh , Hong Yue

We study the navigation problem for a robot moving amidst static and dynamic obstacles and rely on a hierarchical approach to solve it. First, the reference trajectory is planned by the safe interval path planning algorithm that is capable…

Robotics · Computer Science 2019-06-18 Konstantin Yakovlev , Anton Andreychuk , Juliya Belinskaya , Dmitry Makarov

This paper addresses the three-dimensional path-following guidance problem for unmanned aerial vehicles under explicit actuator constraints. Unlike conventional approaches that assume unbounded control inputs or handle saturation…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Vinay Kathiriya , Saurabh Kumar , Shashi Ranjan Kumar

This work introduces a novel path-following control strategy inspired by the famous two-body problem, aiming to stabilize any Keplerian orbit. Utilizing insights from the mathematical structure of the two-body problem, we derive a robust…

Systems and Control · Electrical Eng. & Systems 2024-11-18 Rodolfo Batista Negri , Antônio Fernando Bertachini de Almeida Prado

In this paper a solution to the problem of following a curved path in the presence of a constant unknown ocean current disturbance is presented. We introduce a path variable that represents the curvilinear abscissa on the path which is used…

Systems and Control · Computer Science 2018-10-17 D. J. W. Belleter , M. Maghenem , C. Paliotta , K. Y. Pettersen
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