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Projective Group consensus of Multi-Agent Systems with Arbitrary Parameter

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Journal of Systems Science & Complexity 2021年第2期34卷 618-631页

作者： CHEN Liangkang GUO Liuxiao YANG Yongqing School of Science Jiangnan UniversityWuxi 214122China

In this paper,the projective Group consensus issue for second order multi-agent systems(MASs)in directed graphs with a dynamic leader is investigated.The proposed projective Group consensus with arbitrary parameter includes traditional consensus,reverse Group consensus and cluster consensus as its special cases.Novel distributed control protocols are designed to obtain projective Group consensus without analyzing signed directed graph as in most current literatures on bipartite consensus problem.On the basis of Lyapunov stability property,algebraic graph and some necessary matrix theory,sufficient conditions for delay and delay-free cases are derived.Finally,simulations of nonlinear chaotic MASs are adopted to testify the theoretical results.

关键词： Group consensus multi-agent systems subgroups time delay

Fixed-time Group consensus of second-order multi-agent systems based on event-triggered control

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Chinese Physics B 2023年第7期32卷 329-336页

作者：武肖帅孙凤兰朱伟 Jürgen Kurths College of Automation Chongqing University of Posts and TelecommunicationsChongqing 400065China School of Science Chongqing University of Posts and TelecommunicationsChongqing 400065China Department of Complexity Science Potsdam Institute for Climate Impact ResearchPotsdam 14473Germany Institute of Physics Humboldt University of BerlinBerlin 12489Germany

The problem of fixed-time Group consensus for second-order multi-agent systems with disturbances is investigated.For cooperative-competitive network,two different control protocols,fixed-time Group consensus and fixed-time eventtriggered Group consensus,are designed.It is demonstrated that there is no Zeno behavior under the designed eventtriggered control.Meanwhile,it is proved that for an arbitrary initial state of the system,Group consensus within the settling time could be obtained under the proposed control protocols by using matrix analysis and graph theory.Finally,a series of numerical examples are propounded to illustrate the performance of the proposed control protocol.

关键词： event-triggered control Group consensus multi-agent system fixed-time

Group consensus of heterogeneous multi-agent systems with fixed topologies

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International Journal of Intelligent Computing and Cybernetics 2015年第4期8卷 294-311页

作者： Cong Liu Qiang Zhou Xiaoguang Hu School of Automation Science and Electrical Engineering Beihang UniversityBeijingPeople’s Republic of China

Purpose–The purpose of this paper is to study the dynamical Group consensus of heterogeneous multi-agent systems with fixed topologies.Design/methodology/approach–The tool used in this paper to model the topologies of multi-agent systems is algebraic graph theory.The matrix theory and stability theory are applied to research the groupconsensusofheterogeneousmulti-agentsystemswithfixedtopologies.TheLaplacetransformand Routh criterion are utilized to analyze the convergence properties of heterogeneous multi-agent systems.Findings–It is discovered that the dynamical Group consensus for heterogeneous multi-agent systems with first-order and second-order agents can be achieved under the reasonable hypothesizes.The Group consensus condition is only relied on the nonzero eigenvalues of the graph Laplacian matrix.Originality/value–The novelty of this paper is to investigate the dynamical Group consensus of heterogeneous multi-agent systems with first-order and second-order agents and fixed topologies and obtain a sufficient Group consensus condition.

关键词： Heterogeneous Multi-agent systems Group consensus Fixed topologies Networked control

Group consensus of continuous-time second-order multi-agent systems via asynchronous sampled-data control

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Group consensus of continuous-time second-order multi-agent ...

第三十九届中国控制会议

作者： Xiangcong Deng Junhua He Jinliang Shao Wei Xing Zheng School of Mathematical Sciences University of Electronic Science and Technology of China School of Automation Engineering University of Electronic Science and Technology of China School of Computing Engineering and Mathematics Western Sydney University

This paper investigates the Group consensus problem of continuous-time second-order multi-agent systems（MASs）with asynchronous sampling, where each agent has its own clocks that are not affected by the others’. The asynchronous sampleddata based protocol is designed by using the neighbors’ state information with uncertain time-varying sampling intervals. In continuous-time second-order MASs, the asynchronous Group consensus problem can be equivalently transformed into a stability problem of synchronous discrete-time second-order MASs by using appropriate model transformations. With the help of the nonnegative matrix theory and graph theory, the stability is analyzed and a pretty graphic sufficient condition is established.Besides, a simulation example is given to demonstrate the proposed result.

关键词： Asynchronous sampling Group consensus Multi-agent systems Second-order dynamics

Prescribed-time Group consensus Cooperative Guidance

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Prescribed-time Group Consensus Cooperative Guidance

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作者： Wenhui Ma Yangwang Fang Zhikai Wang Wenxing Fu Xiaogeng Liang School of Automation Northwestern Polytechnical University Unmanned System Research Institute Northwestern Polytechnical University School of Astronautics Northwestern Polytechnical University

In this paper,a prescribed-time Group consensus cooperative guidance law（PTGCCGL） is proposed based on the prescribed-time control method.Different from the tradition cooperation against single target,the group cooperative guidance shows its potential in intercepting multiple targets.In the group cooperative attack,the formation is classified into subgroups which attack their own targets respectively.Firstly,prescribed-time Group consensus based on the time-scaling function is proved by Lyapunov stability theorem.Then,the PTGCCGL is proposed for cluster cooperation to achieve the simultaneous attack of same subgroup while keep the communication between groups.Finally,a numerical example is presented to show the effectiveness of the proposed cooperative guidance law.

关键词： Prescribed-time convergence Group consensus multiple flight vehicles cooperative guidance

Group consensus for Multi-agent Systems via Pinning Control

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Group Consensus for Multi-agent Systems via Pinning Control

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作者： Chunping Xiong Qian Ma Guoying Miao Yang Liu Liu Liu School of Automation Nanjing University of Science and Technology School of Information and Control Nanjing University of Information Science and Technology

This paper investigates the Group consensus problem of multi-agent systems under pinning control scheme. The network topology is assumed to be directed. Some novel control criteria are proposed to guarantee that the agents asymptotically follow the virtual leader in the same group, but no consensus appears among the different groups. Combining matrix transform technique, pinning control method and adaptive control scheme are used, which are helpful to obtain the effective consensus protocols. Numerical example is also provided to demonstrate the effectiveness of the theoretical analysis.

关键词： Multi-agent system Group consensus Pinning control

Group consensus for discrete-time heterogeneous multi-agent networks

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Group consensus for discrete-time heterogeneous multi-agent ...

第三十九届中国控制会议

作者： Yanjiang Li Liang Yue Chong Tan School of Mathematical Science Heilongjiang University Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex Systems Heilongjiang University School of Automation Harbin University of Science and Technology

The problem of Group consensus is considered for a class of discrete-time heterogeneous multi-agent systems in this paper. Due to unavailable agents’ states, a distributed protocol based on the state-observer is designed. By getting rid of a conservation condition of in-degree balance which widely exists in relevant results, a necessary and sufficient condition of Group consensus is established for discrete-time heterogeneous multi-agent systems. In the end, a numerical example demonstrates the feasibility of the proposed theoretical result.

关键词： Group consensus Heterogeneous multi-agent systems,State-observer

Adaptive Group consensus for Networked Euler-Lagrange Systems Under a Directed Graph Without Relative Velocity Information

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Adaptive Group Consensus for Networked Euler-Lagrange System...

第36届中国控制会议

作者： Ran Cao Jie Mei School of Mechanical Engineering and Automation Harbin Institute of Technology

ISBN: (纸本)9781538629185

In this paper,we study the Group consensus for networked Euler-Lagrange systems under a general nonsymmetric directed graph.The relationships between the interactive agents in the same group are cooperation while the relationships between the interactive agents among different group can be either cooperation or competition.Two assumptions are presented to achieve Group consensus,respectively,interaction topology among groups being acyclic and the associated directed graph satisfying the in-degree balance condition.We propose a distributed adaptive control algorithm for each agent without relative velocity information.Simulation results are provided to demonstrate the effectiveness of the proposed control algorithms.

关键词： Multi-agent systems Group consensus Distributed control Euler-Lagrange system Adaptive control

Group consensus in Networked Gyroscopes Systems Using the Udwadia-Kalaba Fundamental Equation Theory

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Group Consensus in Networked Gyroscopes Systems Using the Ud...

第36届中国控制会议

作者： Jun Liu Liyun Zhao Department of Mathematics Jining University School of Mathematics Physics and Biological EngineeringInner Mongolia University of Science and Technology

ISBN: (纸本)9781538629185

This paper provides a simple approach for Group consensus of networked gyroscopes systems from the analytical dynamics point of view. By using the Udwadia-Kalaba fundamental equation theory, a novel robust group control law is presented and a sufficient condition which ensure achieving Group consensus of non-identical gyroscopes networks is given in this paper. Finally, numerical simulations conducted on networks composed by five non-identical gyroscopes is given to demonstrate effectiveness of the proposed control methodology.

关键词： Group consensus Udwadia-Kalaba fundamental equation networked gyroscopes directed networks