Distributed MPC Based on Distributed Evolutionary Game for Leaderless Formation Control

Xiaoting Zhou, Li Dai*, Teng Huang, Da Huo, Yuanqing Xia

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper develops a distributed model predictive control (MPC) algorithm for leaderless formation control problem subject to a time-varying communication topology. The motivation for this algorithm is the challenge in addressing the coupled constraints, like communication range constraints and collision avoidance constraints under the distributed architecture. To approach this problem, we formulate the MPC optimal control problem as an evolutionary game problem for two populations with coupled constraints. A distributed evolutionary game is designed to obtain the solution, through finding the Nash equilibrium point. The properties of the proposed distributed evolutionary game are given, including the stability of the Nash equilibrium point and invariance of the set of possible strategic distributions, even though the communication topology is time varying. Finally, a numerical simulation is provided to verify the efficacy of the proposed distributed control algorithm.

Original languageEnglish
Title of host publicationProceedings of 2021 5th Chinese Conference on Swarm Intelligence and Cooperative Control
EditorsZhang Ren, Yongzhao Hua, Mengyi Wang
PublisherSpringer Science and Business Media Deutschland GmbH
Pages1716-1727
Number of pages12
ISBN (Print)9789811939976
DOIs
Publication statusPublished - 2023
Event5th Chinese Conference on Swarm Intelligence and Cooperative Control, CCSICC 2021 - Shenzhen, China
Duration: 19 Jan 202222 Jan 2022

Publication series

NameLecture Notes in Electrical Engineering
Volume934 LNEE
ISSN (Print)1876-1100
ISSN (Electronic)1876-1119

Conference

Conference5th Chinese Conference on Swarm Intelligence and Cooperative Control, CCSICC 2021
Country/TerritoryChina
CityShenzhen
Period19/01/2222/01/22

Keywords

  • Distributed MPC
  • Evolutionary game
  • Formation control

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