Acta Scientific Computer Sciences

Review Article Volume 4 Issue 5

Continuous and Discrete-time Models of Surface Watercraft Nonlinear Dynamics

Nikolaos I Xiros1* and Eleftherios K Loghis2

1The university of New Orleans, B. Bollinger School of Naval Architecture and Marine Engineering, New Orleans, Louisiana, United States
2National Technical University of Athens, School of Electrical and Computer Engineering, Athens, Greece

*Corresponding Author: Nikolaos I Xiros, The university of New Orleans, B. Bollinger School of Naval Architecture and Marine Engineering, New Orleans, Louisiana, United States.

Received: December 14, 2021; Published:


The scale model of a surface watercraft unit with electric propulsion using a dc motor and waterjet has been developed. A dynamic model capable to adequately describe the motion of the vehicle under a variety of conditions is also developed by combining basic principles with data series obtained through a series of field experiments. The aim is to minimize the number and cost of sensors needed in this end, without unacceptably compromising accuracy, by employing knowledge of vehicle dynamics in order to form a customized gray-box modeling approach. A set of nonlinear differential equations are derived, that can be used to describe the behavior of the marine vehicle at hand. This dynamic model will form the basis for applying physicomimetic approaches to control and navigation of a standalone or swarm of similar vehicles. In the physicomimetic control law synthesis approach, the control problem is tackled by the concept of virtual forces acting on the vehicle and in result generating motion patterns that are desired in a certain application, e.g. avoid obstacles and collisions. To achieve physicomimetic control it is required to effectively cancel the actual dynamics or physics to which each craft unit’s motion complies with and then impose the desired dynamics through virtual forces. In the present work, as first step, a series of open loop experiments allow us developing the actual dynamics of vehicle motion.

Keywords: Dynamics; Scale Model; Unmanned Surface Vehicles (USVs)


  1. Chaumet-Lagrange., et al. “Design of an Autonomous Surface Vehicle (ASV)”. University of Bordeaux I, France, Automatic and production Laboratory, IEEE (1994).
  2. JE Manley. “Development of the Autonomous Surface Craft ‘ACES’”. Massachusetts Institute of Technology , Department of Ocean Engineering, Sea Grant College Program, Cambridge MA 02139, IEEE (1997).
  3. “CARAVELA Development of a Long-Range Autonomous Oceanographic Vessel”. Dynamic Systems and Ocean Robotics lab (DSOR), 1998-2000.
  4. P Oliveira., et al. “The DELFIM Autonomous Surface Craft”. Report December (1999).
  5. P Oliveira., et al. “A Nonlinear Vision Based Tracking System for Coordinated Control of Marine Vehicles”. IST/DEEC, Lisbon, Portugal, Naval Postgraduate School, Monterey USA (2002).
  6. Wang L., et al. “Design and Comparison of H∞/H2 Controllers for Frigate Rudder Roll Stabilization”. Journal of Marine Science and Application 18 (2019): 492-509.
  7. Xiros NI., et al. “Modeling and Simulation of Planing-Hull Watercraft Outfitted with an Electric Motor Drive and a Surface-Piercing Propeller”. Journal of Marine Science and Engineering 2 (2019): 49.
  8. Taunton DJ., et al. “Characteristics of a Series of High Speed Hard Chine Planing Hulls -Part II: Performance in Waves”. International Journal of Small Craft Technology (2011): 153.
  9. Claus D Simonsen., et al. “Maneuvering predictions in the early design phase using CFD generated PMM data". 29th Symposium on Naval Hydrodynamics, Gothenburg, Sweden, 26-31 August (2012).
  10. Toru Katayama., et al. “Development of Maneuvering Simulation Method for High Speed Craft Using Hydrodynamic Forces Obtained from Model Tests”. 10th International Conference on Fast Sea Transportation, FAST 2009, Athens, Greece, October (2009).
  11. Hajizadeh Sajad., et al. “Evaluation of planing craft maneuverability using mathematical modeling”. Scientia Iranica 67 (2016): 85-100.
  12. Tavakoli Sasan and Dashtimanesh Abbas. “A six-DOF theoretical model for steady turning maneuver of a planing hull”. Ocean Engineering 189 (2019): 106328.
  13. Sung Li and Fabien. “Control Oriented Maneuver Model of Prismatic Planing Hull”. Brian (2021).
  14. A Leonessa., et al. “Development of a small, multi-purpose, autonomous surface vessel”. Florida Atlantic University, Department of Ocean Engineering (2002).
  15. T Fossen. “Guidance and Control of Ocean Vehicles”. Baffins Lane, England: John Wiley and Sons, Ins, (1994).
  16. Xiros NI., et al. “An Automatic Steering System for Robust Disturbance Rejection”. IASME Transactions2 (2004).
  17. Xiros NI., et al. “Theoretical and Experimental Investigation of Unmanned Boat Electric Propulsion System with PMDC Motor and Waterjet”. IMAREST Journal of Marine Engineering and Technology A14 (2009): 27-44.


Citation: Nikolaos I Xiros and Eleftherios K Loghis. “Continuous and Discrete-time Models of Surface Watercraft Nonlinear Dynamics". Acta Scientific Computer Sciences 4.5 (2022): 00-00.


Copyright: © 2022 Nikolaos I Xiros and Eleftherios K Loghis. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.


Acceptance rate35%
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