Delay robustness in consensus problems

Münz, Ulrich; Papachristodoulou, Antonis; Allgöwer, Frank

doi:10.1016/j.automatica.2010.04.008

Cited by 255 publications

(182 citation statements)

References 35 publications

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“…Nowadays, MAS is attracting widespread attention in the microgrid field, since MAS is suitable for different applications [20], can reduce a complex control issue to several simple issues [25], and enhance the robustness of control systems [26]. In this paper, a HAM is proposed to implement HCF mentioned above.…”

Section: Properties Of Hybrid Multi-agent Control Modelmentioning

confidence: 99%

Hybrid Multi-Agent Control in Microgrids: Framework, Models and Implementations Based on IEC 61850

Dou

Quan

et al. 2014

Energies

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Operation control is a vital and complex issue for microgrids. The objective of this paper is to explore the practical means of applying decentralized control by using a multi agent system in actual microgrids and devices. This paper presents a hierarchical control framework (HCF) consisting of local reaction control (LRC) level, local decision control (LDC) level, horizontal cooperation control (HCC) level and vertical cooperation control (VCC) level to meet different control requirements of a microgrid. Then, a hybrid multi-agent control model (HAM) is proposed to implement HCF, and the properties, functionalities and operating rules of HAM are described. Furthermore, the paper elaborates on the implementation of HAM based on the IEC 61850 Standard, and proposes some new implementation methods, such as extended information models of IEC 61850 with agent communication language and bidirectional interaction mechanism of generic object oriented substation event (GOOSE) communication. A hardware design and software system are proposed and the results of simulation and laboratory tests verify the effectiveness of the proposed strategies, models and implementations. OPEN ACCESSEnergies 2015, 8 32

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Section: Properties Of Hybrid Multi-agent Control Modelmentioning

confidence: 99%

Hybrid Multi-Agent Control in Microgrids: Framework, Models and Implementations Based on IEC 61850

Dou

Quan

et al. 2014

Energies

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“…Note that from (12) and (3), for any choice of (x f i , y f i ), (I N ⊗A)X f = 0. Thus for any choice of D satisfying (14), left multiplication on both sides of (14) by (I N ⊗ B) and the addition of (I N ⊗ A)X f to the left hand side yields…”

Section: Design Proceduresmentioning

confidence: 99%

“…Consensus problems in 2nd order systems using delayed state (position and velocity) information is reported in [11]. In [12] frequency domain methods are employed for examining the robustness of consensus properties and the allowable delay margin.…”

Section: Introductionmentioning

confidence: 99%

Delayed static output feedback control of a network of double integrator agents

2013

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This paper considers a network of vehicles moving in a two dimensional plane. The overall network, described by a collection of double integrator dynamics, is controlled by a novel distributed static output feedback methodology to maintain a desired formation. The distributed control architecture stabilizes the network using static output feedback of position information only, by exploiting delays in communication of the relative information. An optimization algorithm, based on Linear Matrix Inequalities together with the DIRECT search algorithm, is used to synthesize the controller gains and the delay.

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“…Subsequently the theory was extended in [35] to the case of a network formed from a certain class of nonlinear systems. The robustness of linear consensus algorithms and conditions for convergence subject to node level self delays and relative measurement delays were developed and reported in [32] building on the research described in [31] and [35]. 'Scalable' delay dependent synthesis of consensus controllers for linear multi agent networks making use of delay dependent conditions is proposed in [32].…”

Section: Introductionmentioning

confidence: 99%

“…The robustness of linear consensus algorithms and conditions for convergence subject to node level self delays and relative measurement delays were developed and reported in [32] building on the research described in [31] and [35]. 'Scalable' delay dependent synthesis of consensus controllers for linear multi agent networks making use of delay dependent conditions is proposed in [32]. Reference [44] reports an independent attempt to achieve second order consensus using delayed position and velocity information.…”

Section: Introductionmentioning

confidence: 99%