Fixed-time consensus of first-order multi-agent systems over signed directed graphs

Li, Zhentao; Wang, Zhengxin; Feng, Ying

doi:10.1177/01423312211001990

Cited by 13 publications

(3 citation statements)

References 30 publications

(46 reference statements)

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“…In order to fix this shortcoming, the fixed-time theory was proposed in [17]. Specifically, the authors proposed a fixed-time control to address the consensus of MASs under signed graphs in [18]. Considering the nonlinear behaviors of agents, the fixedtime bipartite tracking consensus of MASs with nonlinear dynamics was discussed in [19].…”

Section: Introductionmentioning

confidence: 99%

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Fixed-Time Bipartite Output Consensus of Heterogeneous Multi-Agent Systems With Event-Triggered Observation

Xiang

Jiang

2023

IEEE Access

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This paper considers the fixed-time bipartite output consensus of heterogeneous multi-agent systems under a directed signed graph. Firstly, in combination with the fixed-time theory and event-triggered mechanism, a fixed-time event-triggered observer is designed to estimate the leader's state. Secondly, a dynamic variable is used to present the triggering condition, and the analytical results show that the Zeno behavior can be excluded by choosing some appropriate parameters. Moreover, a distributed fixed-time control protocol is developed based on the designed observer so that all agents can achieve bipartite output consensus in a fixed-time. Some sufficient criteria for output bipartite consensus are obtained based on inequality techniques and Lyapunov stability theory. Finally, a numerical example is employed to verify the validity of the theoretical results.INDEX TERMS Multi-agent systems; event-triggered control; bipartite output consensus; observer; fixedtime.Although a class of fixed-time control was considered in [21], [22], the event-triggered mechanism was not applied.

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Section: Introductionmentioning

confidence: 99%

“…Considering the nonlinear behaviors of agents, the fixedtime bipartite tracking consensus of MASs with nonlinear dynamics was discussed in [19]. In [18], [19], only the firstorder and second-order systems were considered. Moreover, the fixed-time consensus of MASs with high-order integrator was studied in [20].…”

Section: Introductionmentioning

confidence: 99%

Fixed-Time Bipartite Output Consensus of Heterogeneous Multi-Agent Systems With Event-Triggered Observation

Xiang

Jiang

2023

IEEE Access

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“…Recently, multi-agent systems (MASs) have been applied in many fields, such as the collaboration of multiple robotic manipulators, underwater vehicles' formation control, and satellite formation flying [1][2][3]. The distributed coordinated control problems for MASs have attracted the attention of more and more experts and scholars.…”

Section: Introductionmentioning

confidence: 99%

Adaptive fault‐tolerant control for multiple Euler–Lagrange systems considering time delays and output constraints

Qin

et al. 2022

Asian Journal of Control

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Considering the existence of communication delays, the adaptive fault-tolerant control problems for constrained multiple Euler-Lagrange systems are considered in this paper. First, a communication delays observer is utilized to enable all followers can acquire the leader's state information. Second, based on neural network technique, two distributed coordinated control schemes are designed to make every follower can track the leader. Compared with the first control algorithm, the adaptive fault-tolerant control problem is further considered in the second control algorithm. The proposed algorithm can simultaneously compensate the actuator bias faults and the partial loss of actuation effectiveness faults. At the same time, a tan-type barrier Lyapunov function is used to constrain the tracking errors of all followers and the leader. Finally, the simulations show the effectiveness of the proposed control schemes.

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Group consensus of hybrid‐order heterogeneous multi‐agent systems with and without input saturation

Tang,

Zhan,

Wang

et al. 2024

Asian Journal of Control

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This paper investigates the group consensus of hybrid‐order heterogeneous multi‐agent systems (MASs) consisting of first‐order linear agents and second‐order nonlinear agents with and without input saturation. First, group consensus algorithms are introduced. Then, by using various mathematical methods, including the graph theory, LaSalle invariant set principle, and Lyapunov stability theory, it is shown that hybrid‐order heterogeneous MASs can reach group consensus if sufficient conditions are satisfied. Further, the simulations are conducted to verify the theoretical results. Finally, the simulation results demonstrate that hybrid‐order heterogeneous MASs with and without input saturation can achieve the group consensus.

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Fixed-time consensus of first-order multi-agent systems over signed directed graphs

Cited by 13 publications

References 30 publications

Fixed-Time Bipartite Output Consensus of Heterogeneous Multi-Agent Systems With Event-Triggered Observation

Fixed-Time Bipartite Output Consensus of Heterogeneous Multi-Agent Systems With Event-Triggered Observation

Adaptive fault‐tolerant control for multiple Euler–Lagrange systems considering time delays and output constraints

Group consensus of hybrid‐order heterogeneous multi‐agent systems with and without input saturation

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