Decentralized Gain Adaptation for Optimal Pinning Controllability of Complex Networks

Meglio, Anna Di; DeLellis, Pietro; Bernardo, Mario di

doi:10.1109/lcsys.2019.2923598

Cited by 9 publications

(3 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For instance, the design of nonlinear higher-order pinning inputs could be considered to enhance control performance. Moreover, as in standard graphs [40], decentralized estimation and control strategies could be sought to avoid the need of knowing the network structure, thus enhancing scalability. Finally, the impact of possible mismatches in the individual dynamics of the units on the convergence of the pinning error should be investigated.…”

Section: Discussionmentioning

confidence: 99%

Pinning Control of Hypergraphs

DeLellis

Rossa

Iudice

et al. 2023

IEEE Control Syst. Lett.

Self Cite

View full text Add to dashboard Cite

A standard assumption in control of network dynamical systems is that its nodes interact through pairwise interactions, which can be described by means of a directed graph. However, in several contexts, multibody, directed interactions may occur, thereby requiring the use of directed hypergraphs rather then digraphs. For the first time, we propose a strategy, inspired by the classic pinning control on graphs, that is tailored for controlling network systems coupled through a directed hypergraph. By drawing an analogy with signed graphs, we provide sufficient conditions for controlling the network onto the desired trajectory provided by the pinner, and a dedicated algorithm to design the control hyperedges.

show abstract

Section: Discussionmentioning

confidence: 99%

Pinning Control of Hypergraphs

DeLellis

Rossa

Iudice

et al. 2023

IEEE Control Syst. Lett.

Self Cite

View full text Add to dashboard Cite

show abstract

“…We select P i = 3.3, K i = 60, ε = 0.1, ∆P di = −0.1 sin((0.5t)i). The parameters in adaptive distributed control law (15)…”

Section: Simulation Examplementioning

confidence: 99%

Adaptive Synchronization of Uncertain Complex Networks under State-dependent a priori Interconnections

Tao

Roy

Baldi

2021

2021 60th IEEE Conference on Decision and Control (CDC)

View full text Add to dashboard Cite

We address a distributed adaptive synchronization problem for complex networks composed of nonlinear nodes under state-dependent a priori interconnections, i.e. interconnection terms acting before control design. The interconnection terms are uncertain and the heterogeneous dynamics of the network nodes further contain state-dependent uncertainty and uncertain input matrix gain. Adaptive distributed control laws are proposed to tackle such an unsolved design. The proposed controller is verified in simulation via a multi-area load frequency control for power systems.

show abstract

“…However, it is unrealistic for the real applications as not all the nodes are accessible and the control cost would increase significantly. To improve the controllability, one optimization problem can be formulated to minimize ( − ) with the consideration of the constraint on the number of the pining DER and the control cost by determining the pinning gain [19] and the pinning DER [20].…”

Section: A Lower Der-levelmentioning

confidence: 99%

Real-Time Economic Frequency Regulation for Partitioned Microgrids Based on Cost-Driven Droop Function

Hu¹,

Bu²

2020

Preprint

View full text Add to dashboard Cite

With the increase of the number and geographic dispersion of distributed energy resources (DERs), the microgrid (MG) has become scattered along with the higher complexity of control and communication. This paper proposes a two-level regulation strategy to achieve the local objective of frequency regulation and power sharing as well as the global objective of economic operation in the real time for the scattered MG. Firstly, the MG integrated with multiple DERs is partitioned into several<i> </i>nanogrids (NGs) such that DERs connecting on the same feeder are grouped in the same NG for the efficient and cost-effective communication and control. Then<i> </i>in the NG level, the total power mismatch of the entire MG can be learned and an optimal incremental cost can be agreed by each NG through the fastest distributed linear averaging (FDLA) and discrete-consensus algorithm, respectively. In the DER level, a cost-driven droop gain is developed to indicate the willingness of each DER in the NG to participate into the frequency regulation service. The pinning-based protocol is formulated to regulate the frequency and meanwhile enable the proportional power sharing among DERs based on the economic droop function. Case studies satisfactorily demonstrate the effectiveness of the proposed regulation strategy for the economic frequency regulation in the tested MG.

show abstract

Decentralized Gain Adaptation for Optimal Pinning Controllability of Complex Networks

Cited by 9 publications

References 22 publications

Pinning Control of Hypergraphs

Pinning Control of Hypergraphs

Adaptive Synchronization of Uncertain Complex Networks under State-dependent a priori Interconnections

Real-Time Economic Frequency Regulation for Partitioned Microgrids Based on Cost-Driven Droop Function

Contact Info

Product

Resources

About