Adaptive distributed synchronization of heterogeneous multi-Agent systems over directed graphs with time-Varying edge weights

Yang, Qiyu; Lyu, Yi; Li, Xiaolei; Chen, Ci; Lewis, Frank L.

doi:10.1016/j.jfranklin.2021.01.018

Cited by 9 publications

(9 citation statements)

References 38 publications

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“…Chen et al 30 investigated the secure control of high‐order linear homogenous MASs with the unknown and time‐varying weight, and transformed the secure consensus tracking problem into the design of the leader state observer. Yang et al 31 designed a cascaded estimator network, which can effectively estimate the practical leader dynamics and state, and an adaptive distributed control protocol was given to achieve secure control for heterogeneous MASs under the condition that weights of the directed graph are time‐varying. For multiple nonholonomic chained‐form systems and microgrid control systems, the SCC analysis and the design problem with the communication fault or attack were investigated in References 32‐34.…”

Section: Introductionmentioning

confidence: 99%

“…For multiple nonholonomic chained‐form systems and microgrid control systems, the SCC analysis and the design problem with the communication fault or attack were investigated in References 32‐34. Note that the appropriate leader state observer for the followers in References 30‐34 were designed, which adaptively adjust the weights according to the obtained neighbor states to achieve secure tracking control with the uncertain time‐varying weights. In References 30‐34, the secure consensus problem was transformed into a stabilization problem by constructing the tracking error variables, which adopted the nonsingular M‐matrix theory for the stability analysis directly.…”

Section: Introductionmentioning

confidence: 99%

“…Note that the appropriate leader state observer for the followers in References 30‐34 were designed, which adaptively adjust the weights according to the obtained neighbor states to achieve secure tracking control with the uncertain time‐varying weights. In References 30‐34, the secure consensus problem was transformed into a stabilization problem by constructing the tracking error variables, which adopted the nonsingular M‐matrix theory for the stability analysis directly. However, for leaderless MASs, since there exists no a specified leader, the associated Laplacian matrix is singular, and the nonsingular M‐matrix theory cannot be applied to solve the stabilization problem of leaderless MASs directly.…”

Section: Introductionmentioning

confidence: 99%

“…Based on graph theory, the scale relationship between the quadratic function associated with the Laplacian matrix and the local neighborhood state error is determined, which shows that the scale factor is larger than zero. Second, the previous research works [30][31][32][33][34] mostly focus on the SCC problem for leader-follower MASs, where the consensus problem was transformed into a stabilization problem and SCC was achieved by the nonsingular M-matrix theory. However, for leaderless MASs, the associated Laplacian matrix is singular, and the nonsingular M-matrix theory is no longer valid.…”

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confidence: 99%

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Fully distributed secure consensualization for leaderless nonlinear multiagent systems with communication link attacks

Zhao

Wang

et al. 2023

Intl J Robust & Nonlinear

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The secure consensualization for leaderless nonlinear multiagent systems with communication link attacks is realized in a fully distributed manner in a certain sense that the gain matrix design do not depend on the communication topology.A new virtual reference state estimator is proposed for each agent to estimate the common tracking state, which can adaptively adjust coupling strengths to counteract the influence of communication link attacks. Then, by the Lipschitz condition and the special structure property of the time-varying nonsingular transformation matrix, the influence of the Lipschitz nonlinearity on secure consensus is linearized, and a design approach of the secure consensus control gain is given on the foundation of the linear matrix inequality. Finally, a numerical example is provided to demonstrate the effectiveness of theoretical results. K E Y W O R D Scommunication link attacks, fully distributed control, Lipschitz nonlinearity, multiagent system, secure consensus INTRODUCTIONRecently, coordinated control of multiagent systems (MASs) has been attached great importance because of its extensive applications in many fields, including consensus/formation control of multiple robots, 1-4 satellite attitude coordination control, 5 and synchronization of smart power grids 6-8 and wireless sensor networks 9,10 and so forth. Fully distributed consensus control is one of the important topics in the above fields, which needs that all agents reach agreement on some interesting variables by constructing the consensus protocol in a fully distributed manner. Some fully distributed consensus protocols and important conclusions were shown in References 11-15, where the influence of the communication link attack or fault was not considered. With the rapid advancement of artificial intelligence and information technology, the communication link attack is an important threat for MASs. Attacks on the communication link can block the communication channels among agents, and can cause the data information transmitted in the communication topology to be unavailable or invalid, which may seriously damage the consensus properties of the whole system. This motivates researchers to study secure consensus control (SCC) for MASs with communication link attacks.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Fully distributed secure consensualization for leaderless nonlinear multiagent systems with communication link attacks

Zhao

Wang

et al. 2023

Intl J Robust & Nonlinear

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“…To solve consensus problems in the heterogeneous framework, where agents are modeled as linear systems, different protocols have been recently proposed, ranging from the H ∞ for ensuring robust leadertracking performances in the presence of external perturbation [1,15,22,63], to adaptive approaches such as the ones proposed in [5,57] for tackling the leaderfollower control problem, or in [19,20,31] for solving containment and formation problems.…”

Section: Introductionmentioning

confidence: 99%

Leader tracking control for heterogeneous uncertain nonlinear multi-agent systems via a distributed robust adaptive PID strategy

2022

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This paper addresses the leader tracking control problem for heterogeneous uncertain nonlinear multi-agent systems sharing information via a communication network, modeled as a directed graph. To solve the problem, we propose a novel distributed PID-like control strategy which, enhanced with a Lyapunov-based adaption mechanism for the control parameters, is able to counteract the uncertainties acting on the agents dynamics. The stability analysis analytically proves the effectiveness of the proposed PID protocol in ensuring the leader-tracking as well as the boundedness of the adaptive control gains. Numerical simulations, involving both the synchronization control problem for nonlinear harmonic oscillators and the practical engineering problem of the cooperative driving for autonomous connected vehicles, confirm the theoretical derivation and disclose the capability of the proposed strategy in achieving the control objective.

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Distributed multiple-bipartite consensus in networked Lagrangian systems with cooperative–competitive interactions

Zhang

Liu

et al. 2021

Nonlinear Dyn

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In combination with the collective behavior evolutions of bipartite consensus and cluster/group consensus, this paper proposes the notion of multiple-bipartite consensus in networked Lagrangian systems (NLSs). The distributed leaderless and leader-following multiple-bipartite consensus control laws for NLSs are presented in the cooperative-competitive network, where the negative interactions between agents can exist in the same subnetwork. By introducing an acyclic partition and adding the integral item in the control protocols, the nal explicit convergence states in the leaderless case are eventually obtained. Moreover, the leader-following scenario can be realized in nite time with integrated controllers. All of the effectiveness has been illustrated through numerical simulations.

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Adaptive distributed synchronization of heterogeneous multi-Agent systems over directed graphs with time-Varying edge weights

Cited by 9 publications

References 38 publications

Fully distributed secure consensualization for leaderless nonlinear multiagent systems with communication link attacks

Fully distributed secure consensualization for leaderless nonlinear multiagent systems with communication link attacks

Leader tracking control for heterogeneous uncertain nonlinear multi-agent systems via a distributed robust adaptive PID strategy

Distributed multiple-bipartite consensus in networked Lagrangian systems with cooperative–competitive interactions

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