Abstract

The high performance and efficiency of multiple unmanned surface vehicles (multi-USV) promote the further civilian and military applications of coordinated USV. As the basis of multiple USVs’ cooperative work, considerable attention has been spent on developing the decentralized formation control of the USV swarm. Formation control of multiple USV belongs to the geometric problems of a multi-robot system. The main challenge is the way to generate and maintain the formation of a multi-robot system. The rapid development of reinforcement learning provides us with a new solution to deal with these problems. In this paper, we introduce a decentralized structure of the multi-USV system and employ reinforcement learning to deal with the formation control of a multi-USV system in a leader–follower topology. Therefore, we propose an asynchronous decentralized formation control scheme based on reinforcement learning for multiple USVs. First, a simplified USV model is established. Simultaneously, the formation shape model is built to provide formation parameters and to describe the physical relationship between USVs. Second, the advantage deep deterministic policy gradient algorithm (ADDPG) is proposed. Third, formation generation policies and formation maintenance policies based on the ADDPG are proposed to form and maintain the given geometry structure of the team of USVs during movement. Moreover, three new reward functions are designed and utilized to promote policy learning. Finally, various experiments are conducted to validate the performance of the proposed formation control scheme. Simulation results and contrast experiments demonstrate the efficiency and stability of the formation control scheme.

Highlights

  • Due to the rapid development of communication, navigation, and computer technology related to ship motion control, cooperative ship control has an extensive range of application prospects in military and production fields, including fleet cooperative combat, ocean-going replenishment, environmental monitoring, oil and gas detection, etc

  • To solve the above problems, an asynchronous formation control scheme based on reinforcement learning and leader–follower structure is proposed for multiple unmanned surface vehicles (USVs)

  • Formation control scheme: We propose an asynchronous decentralized formation control scheme for multiple cooperative USVs, in which we propose the Advantage Deep Deterministic Policy Gradient (ADDPG) algorithm, and design the reward functions for the formation control problem

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Summary

Introduction

Due to the rapid development of communication, navigation, and computer technology related to ship motion control, cooperative ship control has an extensive range of application prospects in military and production fields, including fleet cooperative combat, ocean-going replenishment, environmental monitoring, oil and gas detection, etc. USVs’ formation originated from the study of biological cluster dynamics, which can be traced back to the Boid model proposed by Reynolds [5] Based on this model, OlfatiSaber [6] extended the multi-agent consistency work to the usual swarm formation control field, introduced obstacle avoidance and tracking agents, and designed a distributed control framework including gradient-based term, velocity consensus term, and navigational feedback. We propose an improved DDPG based on advantage function to train policy for formation control of a multi-USV system. To solve the above problems, an asynchronous formation control scheme based on reinforcement learning and leader–follower structure is proposed for multiple USVs. First, a USV model and a novel formation shape model are established. A formation maintenance policy based on the ADDPG and the designed reward function is utilized to maintain the given geometry structure of the team of USVs during movement.

Related Works
Formation Shape Model
Control Objective
Problem Formulation
17: Update the “soft” target networks for the actor and critic
Decentralized Formation Maintenance Policy
Experimental Setting
Conclusions

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