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author:

Xue, Wenyan (Xue, Wenyan.) [1] | Zhan, Siyuan (Zhan, Siyuan.) [2] | Wu, Zhihong (Wu, Zhihong.) [3] | Chen, Yutao (Chen, Yutao.) [4] | Huang, Jie (Huang, Jie.) [5]

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EI

Abstract:

This paper proposes a novel robust differential game scheme to solve the collision avoidance problem for networked multi-agent systems (MASs), subject to linear dynamics, external disturbances and limited observation capabilities. Compared with the existing differential game approaches only considering obstacle avoidance objectives, we explicitly incorporate the trajectory optimization target by penalizing the deviation from reference trajectories, based on the artificial potential field (APF) concept. It is proved that the strategies of each agent defined by individual optimization problems will converge to a local robust Nash equilibrium (R-NE), which further, with a fixed strong connection topology, will converge to the global R-NE. Additionally, to cope with the limited observation for MASs, local robust feedback control strategies are constructed based on the best approximate cost function and distributed robust Hamilton–Jacobi–Isaacs (DR-HJI) equations, which does not require global information of agents as in the traditional Riccati equation form. The feedback gains of the control strategies are found via the ant colony optimization (ACO) algorithm with a non-dominant sorting structure with convergence guarantees. Finally, simulation results are provided to verify the efficacy and robustness of the novel scheme. The agents arrived at the targeted position collision-free with a reduced arrival time, and reached the targeted positions under disturbance. © 2022 ISA

Keyword:

Aerodynamics Ant colony optimization Collision avoidance Cost functions Feedback Game theory Multi agent systems Riccati equations Robust control Trajectories

Community:

  • [ 1 ] [Xue, Wenyan]The College of Electrical Engineering and Automation, Fuzhou University, Fuzhou; 350108, China
  • [ 2 ] [Xue, Wenyan]The Institute of 5G+ Industrial Internet, Fuzhou University, Fuzhou; 350108, China
  • [ 3 ] [Zhan, Siyuan]Department of Electronic Engineering, Maynooth University, Maynooth; W23 F2K8, Ireland
  • [ 4 ] [Wu, Zhihong]The College of Electrical Engineering and Automation, Fuzhou University, Fuzhou; 350108, China
  • [ 5 ] [Wu, Zhihong]The Institute of 5G+ Industrial Internet, Fuzhou University, Fuzhou; 350108, China
  • [ 6 ] [Chen, Yutao]The College of Electrical Engineering and Automation, Fuzhou University, Fuzhou; 350108, China
  • [ 7 ] [Chen, Yutao]The Institute of 5G+ Industrial Internet, Fuzhou University, Fuzhou; 350108, China
  • [ 8 ] [Huang, Jie]The College of Electrical Engineering and Automation, Fuzhou University, Fuzhou; 350108, China
  • [ 9 ] [Huang, Jie]The Institute of 5G+ Industrial Internet, Fuzhou University, Fuzhou; 350108, China

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Source :

ISA Transactions

ISSN: 0019-0578

Year: 2023

Volume: 134

Page: 95-107

6 . 3

JCR@2023

6 . 3 0 0

JCR@2023

ESI HC Threshold:35

JCR Journal Grade:1

CAS Journal Grade:1

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 5

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 3

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