Output feedback bipartite consensus and consensus of linear multi-agent systems

Zhang, Hongwei

doi:10.1109/cdc.2015.7402460

Cited by 13 publications

(15 citation statements)

References 13 publications

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“…According to Lemma 2.5 and inequality (15), U converges to zero in a finite time, and associated settling time can be estimated by T 3 . This is complete proof.…”

Section: T)mentioning

confidence: 99%

A Unified Framework Design for Finite-Time Bipartite Consensus of Multi-Agent Systems

Zhang

et al. 2021

IEEE Access

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In this paper, the finite-time bipartite consensus (FTBC) problem is investigated for the multiagent system (MAS) with detail balanced structure. To realize FTBC of MAS, a unified protocol framework is developed. Some criteria are established for realizing FTBC. It is worth noticing that estimations of settling time can be given in form of mathematical expression. The unified framework can bring in various protocols by choosing different parameters, which extends previous results. Finally, two numerical examples are provided to illustrate the effectiveness and superiority of corresponding theoretical results. INDEX TERMSFinite-Time bipartite consensus; Filippov solutions; Detail balance digraph; Structurally balanced signed graph; Weighted signed average consensus; Settling time.

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“…According to Lemma 2.5 and inequality (15), U converges to zero in a finite time, and associated settling time can be estimated by T 3 . This is complete proof.…”

Section: T)mentioning

confidence: 99%

A Unified Framework Design for Finite-Time Bipartite Consensus of Multi-Agent Systems

Zhang

et al. 2021

IEEE Access

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“…□ Remark 8. The protocol (22) can achieve bipartite consensus with input saturation under strongly connected signed digraphs.…”

Section: Proofmentioning

confidence: 99%

“…[21] discuss four cases on finite‐time bipartite consensus with signed digraph under first‐order and second‐order systems. Zhang studies output feedback protocols in [22] to solve bipartite consensus problem, and the results are extended in [23], in which the bipartite consensus by the proposed control laws based on state and output information with signed graph is solved. What should be pointed out is that, Zhang et al.…”

Section: Introductionmentioning

confidence: 99%

“…Meng et al [20] provide finite-time consensus with undirected signed graph under first-order case, and Wang et al [21] discuss four cases on finitetime bipartite consensus with signed digraph under first-order and second-order systems. Zhang studies output feedback protocols in [22] to solve bipartite consensus problem, and the results are extended in [23], in which the bipartite consensus by the proposed control laws based on state and output information with signed graph is solved. What should be pointed out is that, Zhang et al present an equivalence between bipartite consensus problems and the conventional consensus problems by gauge transformation in [23].…”

Section: Introductionmentioning

confidence: 99%

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On bipartite consensus of linear MASs with input saturation over directed signed graphs: Fully distributed adaptive approach

Nan

Duan

2020

IET Control Theory & Appl

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This paper studies the bipartite consensus problem with input saturation for general linear represents multi‐agent systems (MASs) with signed digraphs. Based on relative state information among neighbour agents, distributed adaptive protocols and a compensation observer are proposed, wherein both leaderless bipartite consensus and tracking bipartite consensus problems are addressed. For the case only relative output information is available, observer‐based distributed adaptive protocols are also designed, where for each agent, a local observer is given to estimate signed consensus error and a distributed observer is presented to achieve bipartite consensus and generate control input and a compensation observer is designed to handle input saturation. Simulation illustrations are given to explain the feasibility. The control protocols presented in this article depend on only local relative state or output information, without any eigenvalue information of Laplacian matrices associated with signed digraphs, which can be practically used for each agent in a fully distributed way.

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“…In our current work, this condition is removed. Preliminary results of this paper have been presented at conferences .…”

Section: Introductionmentioning

confidence: 99%

Bipartite consensus of multi-agent systems over signed graphs: State feedback and output feedback control approaches

Zhang

Chen

2016

Int. J. Robust. Nonlinear Control

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237

126

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SUMMARYThis paper studies bipartite consensus problems for continuous-time multi-agent system over signed directed graphs. We consider general linear agents and design both state feedback and dynamic output feedback control laws for the agents to achieve bipartite consensus. Via establishing an equivalence between bipartite consensus problems and the conventional consensus problems under both state feedback and output feedback control approaches, we make direct application of existing state feedback and output feedback consensus algorithms to solve bipartite consensus problems. Moreover, we propose a systematical approach to design bipartite consensus control laws.

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Output feedback bipartite consensus and consensus of linear multi-agent systems

Cited by 13 publications

References 13 publications

A Unified Framework Design for Finite-Time Bipartite Consensus of Multi-Agent Systems

A Unified Framework Design for Finite-Time Bipartite Consensus of Multi-Agent Systems

On bipartite consensus of linear MASs with input saturation over directed signed graphs: Fully distributed adaptive approach

Bipartite consensus of multi-agent systems over signed graphs: State feedback and output feedback control approaches

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