Event-triggered bipartite consensus for high-order multi-agent systems with input saturation

Xu, Yuling; Wang, Jinhuan; Zhang, Yingwen; Xu, Yong

doi:10.1016/j.neucom.2019.10.095

Cited by 33 publications

(10 citation statements)

References 29 publications

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“…Remark 1: In comparison to aforementioned works on signed graph (Deng et al, 2019; Guo et al, 2018; Jiang and Zhang, 2016; Jiang et al, 2016b, 2017b, 2018; Liu et al, 2020; Ren et al, 2019; Xu et al, 2020), the approach proposed here is more practical, reliable, flexible and efficient. The above-mentioned works achieve consensus between a set of agents under a static control protocol, which needs the knowledge of entire network to compute the second least eigenvalue of the Laplacian matrix that is required in the control algorithm.…”

Section: Resultsmentioning

confidence: 92%

“…The term sign-consensus means that the states of agents under a signed communication graph achieve same sign but with different magnitude (Jiang and Zhang, 2016). The sign-consensus problem is free from bound of structurally balanced graphs, the necessary condition for bipartite consensus phenomenon, where agents converge to a common objective in terms of magnitude (Deng et al, 2019; Guo et al, 2018; Liu et al, 2020; Ren et al, 2019; Xu et al, 2020). A controller designed for the sign-consensus could also be useful for the execution of coherent behaviors in moving objects with an additional attribute of collision avoidance.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Adaptive fully-distributed sign-consensus control approach for nonlinear multi-agent systems over a signed graph

Shams

Rehan

Tufail

et al. 2021

Transactions of the Institute of Measurement and Control

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In this paper, the notion of sign-consensus for the Lipschitz nonlinear multi-agents over a signed graph is introduced and controller design conditions are provided for realizing consensus among signs of states of agents. The previous works on sign-consensus are limited to the linear systems only. The attainment of sign-consensus for the nonlinear multi-agent systems is a non-trivial control problem, for which Lipschitz nonlinear dynamics are reformulated using the linear parameter varying (LPV) transformation. To guarantee the sign-consensus in a network of multiple agents, fully-distributed adaptive protocol is applied using reformulated Lipschitz nonlinear dynamics, and two design conditions are provided based on the Lipschitz constant oriented and LPV-based approaches. The first approach is comparatively less computationally complex while LPV approach holds significance for developing less conservative sign-consensus control scheme. To the best of our knowledge, distributed sign consensus methods for Lipschitz systems, based on LPV formulation, have been analyzed for the first time. The proposed approach is adaptive and can be regarded as fully-distributed, as it does not require the central knowledge of graph properties. Further, results are extended for nonlinear systems undergoing disturbances and ultimate boundedness of sign-consensus error is guaranteed. Numerical simulations on groups of Chua’s circuits and mechanical oscillators are presented to validate the results.

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Section: Resultsmentioning

confidence: 92%

Section: Introductionmentioning

confidence: 99%

Adaptive fully-distributed sign-consensus control approach for nonlinear multi-agent systems over a signed graph

Shams

Rehan

Tufail

et al. 2021

Transactions of the Institute of Measurement and Control

View full text Add to dashboard Cite

show abstract

“…It is observable that formulating a BC controller is more challenging for high-order MASs than for low-order ones. The BC problem for high-order MASs with input saturation is researched by combining distributed event-triggered control and a low-gain feedback technique in [29]. The finite-time and fixed-time BC for MASs are explored in [30,31], respectively.…”

Section: Introductionmentioning

confidence: 99%

“…Although Bu et al [ 37 ] proposed a novel data-driven framework for MASs, it only discussed the cooperative interactions. The proposed DMFABCT scheme is designed by neighbor-based online measurement I/O data that can bypass the confusion of existing consensus algorithms as seen in [ 5 , 6 , 7 , 8 , 9 , 10 , 11 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 ] to obtain an accurate mathematical model so that the designed scheme is more robust and reduces energy costs from the massive computation. Both collaborative and antagonistic interactions among agents are considered in the proposed protocol.…”

Section: Introductionmentioning

confidence: 99%

Distributed Model-Free Bipartite Consensus Tracking for Unknown Heterogeneous Multi-Agent Systems with Switching Topology

Zhao

2020

Sensors

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This paper proposes a distributed model-free adaptive bipartite consensus tracking (DMFABCT) scheme. The proposed scheme is independent of a precise mathematical model, but can achieve both bipartite time-invariant and time-varying trajectory tracking for unknown dynamic discrete-time heterogeneous multi-agent systems (MASs) with switching topology and coopetition networks. The main innovation of this algorithm is to estimate an equivalent dynamic linearization data model by the pseudo partial derivative (PPD) approach, where only the input–output (I/O) data of each agent is required, and the cooperative interactions among agents are investigated. The rigorous proof of the convergent property is given for DMFABCT, which reveals that the trajectories error can be reduced. Finally, three simulations results show that the novel DMFABCT scheme is effective and robust for unknown heterogeneous discrete-time MASs with switching topologies to complete bipartite consensus tracking tasks.

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“…Furthermore, according to a dynamic rule designed, Li et al [22] investigated the dynamically adjusted threshold parameter in the improved event-triggered condition. Additionally, by taking MASs with input saturation into consideration, Xu et al [23] developed an event-triggered control mechanism coupled with the low-gain feedback technique.…”

Section: Introductionmentioning

confidence: 99%

Distributed Finite-Time Bipartite Consensus for Multiagent System with Event-Triggered Control

Xie

Liu

Yan

et al. 2020

Mathematical Problems in Engineering

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This paper investigates the distributed finite-time event-triggered bipartite consensus control for multiagent systems over antagonistic networks. Under the constraint of energy conservation, a distributed nonlinear finite-time control protocol only depending upon local information is proposed coupled with event-triggered strategies, where controllers of agents at triggered instants are only updated to reduce the computation. It is proved that when the antagonistic network is structurally balanced with a spanning tree, a necessary and sufficient condition is established to guarantee all agents to reach consensus values with identical magnitude but opposite signs. More interestingly, the settling time depending on the initial state is obtained over the whole process. Comparing to asymptotic control algorithms, the proposed control method has better disturbance rejection properties and convergence rate. Simulations are given to demonstrate the effectiveness of the theoretical results.

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Event-triggered bipartite consensus for high-order multi-agent systems with input saturation

Cited by 33 publications

References 29 publications

Adaptive fully-distributed sign-consensus control approach for nonlinear multi-agent systems over a signed graph

Adaptive fully-distributed sign-consensus control approach for nonlinear multi-agent systems over a signed graph

Distributed Model-Free Bipartite Consensus Tracking for Unknown Heterogeneous Multi-Agent Systems with Switching Topology

Distributed Finite-Time Bipartite Consensus for Multiagent System with Event-Triggered Control

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