Adaptive bipartite consensus control of general linear multi-agent systems using noisy measurements

Wu, Yanzhi; Liang, Qingpeng; Zhao, Yiyi; Hu, Jiangping; Xiang, Linying

doi:10.1016/j.ejcon.2021.03.002

Cited by 18 publications

(11 citation statements)

References 37 publications

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“…Consensus of MASs is an important theoretical basis of the cooperative control problems, and it includes typical consensus, scaled consensus, bipartite consensus and group consensus. Generally, consensus problems focus on designing appropriate protocols or algorithms to drive the agents to approach a common value (typical consensus) or multiple values (scaled consensus, bipartite consensus and group consensus) in directed/undirected information exchange settings 17–44 …”

Section: Introductionmentioning

confidence: 99%

“…Group output consensus was studied for discrete‐time heterogeneous MASs with communication constraints in Reference 40. Specially, bipartite consensus concerns both cooperation and competition relationships between agents which form two groups in Reference 41. Scaled consensus was presented in Reference 42 which permits constant ratios among the final convergence values of all the agents.…”

Section: Introductionmentioning

confidence: 99%

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Group consensus tracking of second‐order nonlinear multi‐agent systems with time‐varying reference velocities

Yu,

2024

Intl J Robust & Nonlinear

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SummaryThis paper investigates group consensus tracking problems with time‐varying reference velocities. The multiple agents are described as second‐order nonlinear dynamics in directed information exchange settings. For the multi‐agent networks formed by finite agent groups, novel distributed protocols with/without time‐varying transmission delays are designed to solve the group consensus tracking problems. The problems are first transformed into the asymptotical stability of consensus error systems and the input‐to‐state stability of tracking error systems, and then sufficient conditions are derived to guarantee the agents realizing the group consensus tracking based on Lyapunov stability theories. Finally, several simulations are given to verify the effectiveness of the theoretical results.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Group consensus tracking of second‐order nonlinear multi‐agent systems with time‐varying reference velocities

Yu,

2024

Intl J Robust & Nonlinear

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“…There exist a few papers where the bipartite consensus studied for linear agents considering the noise [ 42 , 43 , 44 , 45 , 46 , 47 , 48 ], but none exist (to the best of the authors’ knowledge) for nonlinear agents. DNDI was introduced in the context of ordinary consensus of MASs, and it is not applicable to bipartite problems in its current form.…”

Section: Introductionmentioning

confidence: 99%

Bipartite Consensus of Nonlinear Agents in the Presence of Communication Noise

Mondal¹,

Tsourdos²

2022

Sensors

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In this paper, a Distributed Nonlinear Dynamic Inversion (DNDI)-based consensus protocol is designed to achieve the bipartite consensus of nonlinear agents over a signed graph. DNDI inherits the advantage of nonlinear dynamic inversion theory, and the application to the bipartite problem is a new idea. Moreover, communication noise is considered to make the scenario more realistic. The convergence study provides a solid theoretical base, and a realistic simulation study shows the effectiveness of the proposed protocol.

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“…For leader–follower multi-agent systems with communication noises, Hu and Feng (2010) developed a distributed tracking control scheme with distributed estimators. Furthermore, Wu et al (2021) presented a fully distributed controller for bipartite consensus problem of multi-agent systems with communication noises. For the case of high-order multi-agent systems, Hu et al (2019) introduced a stochastic-approximation-based control strategy under antagonistic interactions and communication noises.…”

Section: Introductionmentioning

confidence: 99%

Consensus error analysis for linear continuous-time multi-agent systems with additive noises

Sun

Wang

Liu

2022

Transactions of the Institute of Measurement and Control

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This paper investigates the distributed consensus problem for linear continuous-time multi-agent systems subject to additive process noises. Due to the existence of noises, the asymptotic consensus cannot be achieved. Hence, a distributed consensus protocol is proposed such that all the agents can achieve consensus to some degree. Furthermore, based on Lyapunov theory, we characterize the consensus error under undirected and directed topologies. Numerical examples are presented to verify the effectiveness of two results.

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Adaptive bipartite consensus control of general linear multi-agent systems using noisy measurements

Cited by 18 publications

References 37 publications

Group consensus tracking of second‐order nonlinear multi‐agent systems with time‐varying reference velocities

Group consensus tracking of second‐order nonlinear multi‐agent systems with time‐varying reference velocities

Bipartite Consensus of Nonlinear Agents in the Presence of Communication Noise

Consensus error analysis for linear continuous-time multi-agent systems with additive noises

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