Synchronized Output Regulation of Linear Networked Systems

Abstract

This note addresses the problem of synchronized output regulation of linear networked system where all the nodes have their outputs track signals produced by the same exosystem and the state of exosystem is accessible only to leader nodes, while follower nodes regulate their outputs via a distributed synchronous protocol. This problem can be decoupled into two: one is the output regulation problem on the synchronous manifold and the other is the stability problem of synchronous manifold. The proposed synchronous protocol is independent of the network topology. The stability of synchronous manifold is analyzed through the permissible eigenvalue region and the requirements of information graph. Finally, a numerical example illustrates the efficacy of the presented results.

Containment control of heterogeneous linear multi-agent systems

“…where C =  n+m k=n+1H k and D k = −H k , k ∈ R, which is similar to the error vector used in Hong et al (2013), Su and Huang (2012a), Su and Huang (2012b) and Xiang, Wei, and Li (2009), with the difference that more than one leader have been considered in (11). Hence, expressing the containment error as (6) and (11) enables us to use output regulation techniques with some modifications to solve the containment problem.…”

Seamless Transfer of Single-Phase Utility Interactive Inverters with a Synchronized Output Regulation Strategy

“…This SOR problem was studied in [31] and [32]. It requires the outputs of all of the nodes to be regulated and synchronized to track a given waveform (sinusoids in this case) and achieve a "cooperative output regulation."…”

“…SOR is aimed at synchronizing the outputs of a network of agents and manifesting the target dynamics [31]. A whole single-phase plant can be treated as a network containing two nodes: the inverter and the grid.…”

Leader–follower synchronisation of autonomous agents with external disturbances

“…The disturbance attenuation properties of networked systems have been investigated in Li, Duan, and Huang (2009), Lin, Jia, and Li (2008), Liu and Jia (2010), Liu and Jia (2011), Su and Huang (2012), and Xiang, Wei, and Li (2009) for various disturbances. In particular, Li et al (2009) considered the disturbance rejection problem arising in the coordination control of multi-agent systems subject to external disturbances, and proved that it could be solved by analysing the H ∞ control problem of a set of independent systems whose dimensions are equal to that of a single agent.…”