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Duplex Control for Consensus of Multi-agent Systems with Input Saturations

입력포화가 존재하는 다중 에이전트 시스템의 일치를 위한 이종제어

  • Lim, Young-Hun (Department of Convregence Electronic Engineering, Gyeongsang National University)
  • Received : 2021.07.22
  • Accepted : 2021.08.10
  • Published : 2021.08.30

Abstract

In this paper, we study the consensus problem for multi-agent systems with input saturations. The goal of consensus is to achieve a swarming behavior of multi-agent systems by reaching the agreement through information exchange. This paper considers agents modeled by first-order dynamics with input saturations. In order to guarantee the global convergence of the agents, it is assumed that the agents are stable. Moreover, considering the disturbances, we propose the PI based duplex control method to achieve the consensus. The proposed P controller and I controller are composed of different information network. Then, we investigate the conditions of the information networks and the control gains of P, I controllers to achieve the consensus applying the Lyapunov stability theorem and the Lasalle's Invariance Principle. Finally, we conduct the simulations to validate the theoretical results.

본 논문은 입력포화가 존재하는 다중 에이전트 시스템의 일치 문제를 연구한다. 일치 제어의 목표는 에이전트들이 정보교환을 통하여 그룹의 목표 상태로 일치되도록 함으로써 다중 에이전트 시스템의 군집 행동을 얻는 것이다. 본 논문에서는 입력포화가 존재하는 1차 역학에 의해 모델링된 에이전트 시스템들을 고려한다. 에이전트들의 전역적인 수렴성 보장을 위하여 에이전트들이 안정하다는 가정을 한다. 또한, 외란을 고려하여 일치를 달성하기 위한 PI(비례-적분) 기반의 이종 제어기법을 제안한다. 즉, 제안된 P제어기와 I제어기는 서로 다른 정보 네트워크로 구성된다. 다음으로 리아프노프 안정성 이론과 라살레 불변 법칙을 적용하여 일치를 달성하기 위한 P, I 제어기의 정보 네트워크 구성과 제어이득의 조건을 조사한다. 마지막으로 이론적 결과를 검증하기 위하여 시뮬레이션을 수행한다.

Keywords

Acknowledgement

This work was supported by Gyeongsang National University Grant in 2020~2021.

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