Quasi-synchronization of Lagrangian networks with parameter mismatches and communication delays via aperiodically intermittent pinning control

Mihua Ma, Jianping Cai and Hua Zhang

Physica A: Statistical Mechanics and its Applications, 2019, vol. 525, issue C, 1146-1160

Abstract: Quasi-synchronization of Lagrangian networks with a directed graph via aperiodically intermittent pinning control was investigated in this paper. The Lagrangian networks with parameter mismatches and communication delays are considered, which is different from most of the existing works. By applying linear feedback injections to a fraction of agents at discontinuous time, all the agents described by Lagrangian systems can be quasi-synchronized to a desired trajectory. This means that the proposed control strategy is not continuous-time control input, and it is not relied on the knowledge of Lagrangian system models. Based on the aperiodically intermittent pinning control, some general synchronization criteria are derived. As a direct application, quasi-synchronization of six two-link revolute manipulators with parameter mismatches and communication delays is discussed in detail. Numerical simulations with different kinds of pinning schemes illustrate and visualize the effectiveness and feasibility of the proposed control strategy.

Keywords: Lagrangian networks; Parameter mismatches; Communication delays; Intermittent pinning control; Quasi-synchronization (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:525:y:2019:i:c:p:1146-1160

DOI: 10.1016/j.physa.2019.04.026

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