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Guidance and Control of Unmanned Surface Vehicles via HEOL

Loïck Degorre, Emmanuel Delaleau, Cédric Join, Michel Fliess

TL;DR

HEOL addresses robust trajectory tracking for USVs by integrating flatness-based guidance with model-free adaptive control via iPD. It leverages a flat hovercraft nominal model to derive a guidance law and uses iPD to compensate disturbances and modeling errors, with a heading inner loop for cascade stability. Simulation results on a hovercraft and a USV show rapid error convergence under wind-like disturbances, validating robustness to model mismatch. The approach offers a practical, adaptable framework for all-purpose marine craft control with potential extensions to underwater vehicles.

Abstract

This work presents a new approach to the guidance and control of marine craft via HEOL, i.e., a new way of combining flatness-based and model-free controllers. Its goal is to develop a general regulator for Unmanned Surface Vehicles (USV). To do so, the well-known USV maneuvering model is simplified into a nominal Hovercraft model which is flat. A flatness-based controller is derived for the simplified USV model and the loop is closed via an intelligent proportional-derivative (iPD) regulator. We thus associate the well-documented natural robustness of flatness-based control and adaptivity of iPDs. The controller is applied in simulation to two surface vessels, one meeting the simplifying hypotheses, the other one being a generic USV of the literature. It is shown to stabilize both systems even in the presence of unmodeled environmental disturbances.

Guidance and Control of Unmanned Surface Vehicles via HEOL

TL;DR

HEOL addresses robust trajectory tracking for USVs by integrating flatness-based guidance with model-free adaptive control via iPD. It leverages a flat hovercraft nominal model to derive a guidance law and uses iPD to compensate disturbances and modeling errors, with a heading inner loop for cascade stability. Simulation results on a hovercraft and a USV show rapid error convergence under wind-like disturbances, validating robustness to model mismatch. The approach offers a practical, adaptable framework for all-purpose marine craft control with potential extensions to underwater vehicles.

Abstract

This work presents a new approach to the guidance and control of marine craft via HEOL, i.e., a new way of combining flatness-based and model-free controllers. Its goal is to develop a general regulator for Unmanned Surface Vehicles (USV). To do so, the well-known USV maneuvering model is simplified into a nominal Hovercraft model which is flat. A flatness-based controller is derived for the simplified USV model and the loop is closed via an intelligent proportional-derivative (iPD) regulator. We thus associate the well-documented natural robustness of flatness-based control and adaptivity of iPDs. The controller is applied in simulation to two surface vessels, one meeting the simplifying hypotheses, the other one being a generic USV of the literature. It is shown to stabilize both systems even in the presence of unmodeled environmental disturbances.
Paper Structure (15 sections, 20 equations, 8 figures)

This paper contains 15 sections, 20 equations, 8 figures.

Figures (8)

  • Figure 1: Schematic representation of the hovercraft.
  • Figure 2: Cascade structure
  • Figure 3: Trajectory of the hovercraft in the $(\mathbold{x_0}, \mathbold{y_0}$) plane, in presence of a wind force aligned with the $\mathbold{y_0}$ axis. Black: Reference trajectory - Blue: Actual trajectory of the vehicle
  • Figure 4: Tracking errors of the hovercraft over time. Blue: Error on the $\mathbold{x_0}$ axis - Orange: Error on the $\mathbold{y_0}$ axis
  • Figure 5: Estimated values of $F_x$ and $F_y$ over time for the hovercraft. Dashed Black: Wind force - Blue: $\widehat{F}_x$ - Orange:$\widehat{F}_y$
  • ...and 3 more figures

Theorems & Definitions (2)

  • Remark 1
  • Remark 2