Multi-agent speed consensus via delayed position feedback with application to Kuramoto oscillators

Author(s):  
Gerd S. Schmidt ◽  
Ulrich Munz ◽  
Frank Allgower
2022 ◽  
Vol 12 ◽  
Author(s):  
Carmela Calabrese ◽  
Benoît G. Bardy ◽  
Pietro De Lellis ◽  
Mario di Bernardo

In human groups performing oscillatory tasks, it has been observed that the frequency of participants' oscillations reduces when compared to that acquired in solo. This experimental observation is not captured by the standard Kuramoto oscillators, often employed to model human synchronization. In this work, we aim at capturing this observed phenomenon by proposing three alternative modifications of the standard Kuramoto model that are based on three different biologically-relevant hypotheses underlying group synchronization. The three models are tuned, validated and compared against experiments on a group synchronization task, which is a multi-agent extension of the so-called mirror game.


Author(s):  
Ehsan Omidi ◽  
Nima Mahmoodi

Vibration control in smart structures is discussed in this paper using an approach based on connecting collocated control elements to one another via a network with certain topology. Consensus method is implemented to force disagreements between the control agents of the structure to zero, where each control agent consists of a multi-mode Positive Position Feedback (PPF) second-order compensator. Multi-agent state-space representation of actuator/sensor elements is used, accompanied with an optimal state-estimator. The consensus law is embedded in the dynamics of the PPF control elements. Required conditions for stability of the closed-loop multi-agent system are then extracted. Performance of the controller is numerically investigated, and synchronization of controller agents is examined. Significant advantage of the decentralized consensus-based vibration controller over centralized forms is in robustness to failure of components or an entire agent, and obtained synchronized performance of the whole control system.


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