DOI: 10.1002/rnc.6943 ISSN:

Iterative learning consensus control for one‐sided Lipschitz multi‐agent systems

Panpan Gu, Hong Wang, Liping Chen, Zhaobi Chu, Senping Tian
  • Electrical and Electronic Engineering
  • Industrial and Manufacturing Engineering
  • Mechanical Engineering
  • Aerospace Engineering
  • Biomedical Engineering
  • General Chemical Engineering
  • Control and Systems Engineering

Abstract

By applying iterative learning control approach, the consensus is studied for multi‐agent systems (MASs) with one‐sided Lipschitz (OSL) nonlinearity. Firstly, the P‐type and D‐type learning schemes with initial state learning are introduced for such MASs. Then, utilizing the OSL and the quadratically inner‐bounded constraints, the convergence conditions of the consensus algorithms are presented and analyzed under a directed communication graph. We show that both algorithms, on a fixed finite‐time interval, can achieve perfect consensus tracking. Finally, the correctness of the obtained results is illustrated with simulation examples.

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