Leader-following Consensus for Second-order Nonlinear Multi-agent Systems Under Markovian Switching Topologies with Application to Ship Course-keeping

Wang, Chuanrui; Yan, Chuanxu; Liu, Zhenchong

doi:10.1007/s12555-019-0395-8

Cited by 21 publications

(12 citation statements)

References 29 publications

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“…In most studies, the consensus of multi-agent systems is considered, and the agent state error eventually approaches zero. 19 Compared with consensus, the definition of quasi-consensus in Yu et al 32 is defined as the agent state error eventually approaches a positive constant. If the constant is equal to zero, it’s the same as the consensus.…”

Section: Preliminariesmentioning

confidence: 99%

“…[17][18][19][20][21] In Zhao et al 17 and Xie and Cheng, 18 the consensus of first-order and second-order multi-agent systems with Markovian switching topologies was considered. Wang et al 19 investigated the leader-following consensus for second-order nonlinear multi-agent systems under Markovian switching topologies, and cluster consensus of nonlinear multi-agent systems under Markovian switching topologies was considered in Li and Deng. 20 In engineering practice, due to unpredictable environmental conditions, such as stochastic disturbances and parameter uncertainties, the imperfect communication network is unavoidable.…”

Section: Introductionmentioning

confidence: 99%

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Quasi-consensus of Markovian switching heterogeneous multi-agent systems with cooperative–competitive interactions and parameter uncertainties

Shen

Zhang

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part I:

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In this article, the quasi-consensus problem of the Markovian switching heterogeneous multi-agent system with cooperative–competitive interactions and parameter uncertainties is investigated. The switch of the agent’s dynamics is combined with Markov processes, and the topologies among agents switch between cooperation and competition. Based on graph theory and Lyapunov function theory, the sufficient conditions are given to ensure the quasi-consensus of the Markovian switching multi-agent system. Finally, a numerical simulation is given to illustrate the validity of the theoretical results.

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Section: Preliminariesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Quasi-consensus of Markovian switching heterogeneous multi-agent systems with cooperative–competitive interactions and parameter uncertainties

Shen

Zhang

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part I:

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“…M ULTI-AGENT systems (MASs) have attracted a great deal of attention during the last few decades [1], [2]. They have been widely used in engineering fields, such as secure communication [3], [4], privacy-preserving [5], ship course-keeping [6], UAVs formation flying [7]- [9], and traffic flow [10].…”

Section: Introductionmentioning

confidence: 99%

Leaderless Consensus Control of Nonlinear PIDE-Type Multi-Agent Systems With Time Delays

Dai

Yang

et al. 2022

IEEE Access

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This paper studies leaderless consensus of semi-linear parabolic partial integro-differential equations based multi-agent systems (PIDEMASs) with time delays. Making use of the information interaction and coordination among the neighboring agents, consensus control of the leaderless PIDEMAS is constructed. Consensus of the leaderless PIDEMAS is analyzed by using a Lyapunov approach. Dealing with time-invariant delays and time-varying delays, two sufficient conditions for consensus of the leaderless PIDEMAS are respectively obtained in terms of LMIs. Two examples illustrate the effectiveness of developed theoretical results.INDEX TERMS consensus, multi-agent systems, LMIs, Lyapunov, partial integro-differential equations.

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“…In addition, the control laws designed in aforementioned works [5–7, 10, 17] used the eigenvalues of Laplacian matrix, which is global and not available to each agent. To avoid above three restrictions, other works [18–20] proposed distributed adaptive control laws for the leader‐following consensus problem of second‐order and high‐order integrator‐type nonlinear multi‐agent systems, respectively.…”

Section: Introductionmentioning

confidence: 99%

Leader‐following consensus control of second‐order nonlinear multi‐agent systems with applications to slew rate control

Wang¹,

Zhang²,

Feng³

2022

Asian Journal of Control

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This paper addresses the distributed leader‐following consensus control of second‐order strict‐feedback nonlinear multi‐agent systems. By employing mean value theorem, variable separation technique, and backstepping methodology, a fully distributed adaptive control law is designed using only local relative state information. The proposed control law solves the leader‐following consensus problem for any directed communication graph that contains a spanning tree with the root node being the leader agent. The application to hovercraft slew rate control system is given to verify the effectiveness of the theoretical results.

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Leader-following Consensus for Second-order Nonlinear Multi-agent Systems Under Markovian Switching Topologies with Application to Ship Course-keeping

Cited by 21 publications

References 29 publications

Quasi-consensus of Markovian switching heterogeneous multi-agent systems with cooperative–competitive interactions and parameter uncertainties

Quasi-consensus of Markovian switching heterogeneous multi-agent systems with cooperative–competitive interactions and parameter uncertainties

Leaderless Consensus Control of Nonlinear PIDE-Type Multi-Agent Systems With Time Delays

Leader‐following consensus control of second‐order nonlinear multi‐agent systems with applications to slew rate control

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