Cooperative optimal control for Lipschitz nonlinear systems over generally directed topologies

Zhuo Zhang, Huiping Li, Yang Shi, Shouxu Zhang, Weisheng Yan

Research output: Contribution to journalArticlepeer-review

31 Scopus citations

Abstract

This paper studies the cooperative optimal control for multi-agent systems (MASs) with Lipschitz nonlinearities over general digraphs. The leader-following consensus model consisting of multiple followers and one leader is constructed. Distributed optimal control protocols using the linear quadratic regulator approach are designed. Under the proposed protocols, the performance index of the MAS is optimized by solving the algebraic Riccati equation (ARE). The weighting matrices of performance index rely on the Lipschitz nonlinearities, leading to optimal performance. Simulation studies are finally reported to illustrate the effectiveness of presented protocols.

Original languageEnglish
Article number109279
JournalAutomatica
Volume122
DOIs
StatePublished - Dec 2020

Keywords

  • Cooperative optimal control
  • General digraphs
  • Lipschitz nonlinearities
  • Multi-agent systems (MASs)

Fingerprint

Dive into the research topics of 'Cooperative optimal control for Lipschitz nonlinear systems over generally directed topologies'. Together they form a unique fingerprint.

Cite this