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Stable Spinning Deployment Control of a Triangle Tethered Formation System.

Fan Zhang, He Zhou, Panfeng Huang

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|August 3, 2021

Summary

This study introduces a new control scheme for stable deployment and maintenance of triangle tethered formation systems in space. The novel controller ensures faster convergence and system stability compared to existing methods.

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Area of Science:

Aerospace Engineering
Control Theory
Robotics

Background:

Tethered formation systems are crucial for space missions like Earth observation and deep space exploration.
Deployment and stable maintenance of these systems are challenging due to tether elasticity and flexibility, leading to oscillations.
Existing control methods struggle with the complex dynamics of multitethered systems.

Purpose of the Study:

To model a triangle tethered formation system.
To analyze the exact stable conditions for maintaining the formation.
To design a novel control scheme for spinning deployment and stable maintenance.

Main Methods:

Modeling of a triangle tethered formation system.
Analysis of exact stable conditions for formation maintenance.
Design of a novel second-order sliding mode controller with a nonsingular sliding variable.
Theoretical proof of finite-time convergence for the sliding variable.

Main Results:

The proposed controller ensures finite-time convergence of the sliding variable to the manifold and then to equilibrium.
Simulation results demonstrate faster convergence of states and sliding variables compared to classic second-order sliding-mode control.
The novel scheme effectively addresses oscillations and complex formation maintenance challenges.

Conclusions:

The developed control scheme provides an effective solution for the stable deployment and maintenance of triangle tethered formation systems.
The novel nonsingular sliding variable enhances the performance and convergence speed of the controller.
This research contributes to advancing the capabilities of space exploration and Earth observation missions.