scholarly journals Leader-Following Consensus of Multiagent Systems with Time-Varying Delays via Impulsive Control

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Zhiyong Ye ◽  
Yungen Chen ◽  
Hua Zhang
Keyword(s):  
Multiagent Systems ◽  
Control Method ◽  
Impulsive Control ◽  
Sufficient Conditions ◽  
Time Varying ◽  
Distributed Consensus ◽  
Consensus Protocol ◽  
Sample Data ◽  
Leader Following ◽  
Discrete Moments

The leader-following consensus problem for delayed multiagent systems is investigated over stochastic switching topologies via impulsive control method. A distributed consensus protocol is proposed based on sample data information. The convergence analysis for such algorithm over undirected and directed networks is provided, and some sufficient conditions to guarantee the consensus are also established. It is shown that delayed networks can achieve consensus even information is exchanged among followers just at some discrete moments. At last, some numerical examples are given to illustrate the effectiveness of the proposed protocols.

scholarly journals Distributed Consensus for Discrete-Time Directed Networks of Multiagents with Time-Delays and Random Communication Links

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Yurong Liu ◽  
Hamid Reza Karimi ◽  
Xiaohui Liu
Keyword(s):  
Multiagent Systems ◽  
Discrete Time ◽  
Time Delays ◽  
Sufficient Conditions ◽  
Analytical Techniques ◽  
Time Varying ◽  
Mean Square ◽  
Distributed Consensus ◽  
Communication Links ◽  
Leader Following

This paper is concerned with the leader-following consensus problem in mean-square for a class of discrete-time multiagent systems. The multiagent systems under consideration are the directed and contain arbitrary discrete time-delays. The communication links are assumed to be time-varying and stochastic. It is also assumed that some agents in the network are well informed and act as leaders, and the others are followers. By introducing novel Lyapunov functionals and employing some new analytical techniques, sufficient conditions are derived to guarantee the leader-following consensus in mean-square for the concerned multiagent systems, so that all the agents are steered to an anticipated state target. A numerical example is presented to illustrate the main results.

scholarly journals Leader-Follower Consensus of Second-Order Multiagent Systems with Absent Velocity Measurement and Time Delay

2018 ◽  
Vol 2018 ◽  
pp. 1-11
Author(s):  
Panpan Yang ◽  
Ye Tang ◽  
Maode Yan ◽  
Lei Zuo
Keyword(s):  
Time Delay ◽  
Multiagent Systems ◽  
Velocity Measurement ◽  
Sufficient Conditions ◽  
Constant Time Delay ◽  
Constant Time ◽  
Time Varying ◽  
Consensus Protocol ◽  
Time Varying Delay ◽  
Varying Delay

The leader-follower consensus problem of second-order multiagent systems with both absent velocity measurement and time delay is considered. First of all, the consensus protocol is designed by introducing an auxiliary system to compensate for the unavailability of the velocity information. Then, time delay is incorporated into the consensus protocol and two cases with, respectively, constant time delay and time-varying delay are investigated. For the case of constant time delay, Lyapunov-Razumikhin theorem is deployed to obtain the sufficient conditions that guarantee the stability of the consensus algorithm. For the case of time-varying delay, the sufficient conditions are also derived by resorting to the Lyapunov-Razumkhin theorem and linear matrix inequalities (LMIs). Various numerical simulations demonstrate the correctness of the theoretical results.

scholarly journals Distributed Consensus of Semi-Markovian Jumping Multiagent Systems with Mode-Dependent Topologies

2018 ◽  
Vol 2018 ◽  
pp. 1-7
Author(s):  
Yidao Ji
Keyword(s):  
Multiagent Systems ◽  
Sufficient Conditions ◽  
Consensus Problem ◽  
Mean Square ◽  
Sampled Data ◽  
Distributed Consensus ◽  
Consensus Protocol ◽  
Markov Jump ◽  
Markovian Jumping ◽  
Mean Square Stability

This paper investigates the distributed consensus problem of multiagent systems with semi-Markovian jumping dynamics in the mean-square sense. Moreover, the mode-dependent communication topologies and sampled-data consensus protocol over the networks are considered. By semi-Markov jump theory, the consensus problem is first transformed into a mean-square stability problem. Then, sufficient conditions are established with the designed mode-dependent consensus protocol. Finally, a numerical example is provided for verifying the effectiveness of our theoretical results.

scholarly journals Formation Control of Second-Order Multiagent Systems with Time-Varying Delays

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Hong Xia ◽  
Ting-Zhu Huang ◽  
Jin-Liang Shao ◽  
Jun-Yan Yu
Keyword(s):  
Control Problem ◽  
Multiagent Systems ◽  
Formation Control ◽  
Second Order ◽  
Sufficient Condition ◽  
Time Varying ◽  
Consensus Protocol ◽  
Leader Following ◽  
Multiple Leaders ◽  
Theoretical Results

A formation control problem for second-order multiagent systems with time-varying delays is considered. First, a leader-following consensus protocol is proposed for theoretical preparation. With the help of Lyapunov-Krasovskii functional, a sufficient condition under this protocol is derived for stability of the multiagent systems. Then, the protocol is extended to the formation control based on a multiple leaders’ architecture. It is shown that the agents will attain the expected formation. Finally, some simulations are provided to demonstrate the effectiveness of our theoretical results.

scholarly journals Leader-Following Bounded Consensus and Multiconsensus of Multiagent Systems

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Chao Long ◽  
Chunxi Yang ◽  
Guangsong Han ◽  
Yingbo Huang ◽  
Shichang Han
Keyword(s):  
Multiagent Systems ◽  
Impulsive Control ◽  
Laplacian Matrix ◽  
Necessary And Sufficient Condition ◽  
Velocity Data ◽  
Consensus Protocol ◽  
Consensus Tracking ◽  
Multiagent Networks ◽  
Leader Following ◽  
Necessary And Sufficient

This paper investigates the problem of leader-following consensus and multiconsensus of multiagent systems. A leader-following and bounded consensus protocol via impulsive control for multiagent systems is proposed by using sampled position and velocity data. Consensus and multiconsensus commutative evolution stimulated by varying intelligence degrees of each agent can be achieved to avoid obstacles. Especially, the multiconsensus leader-following can be obtained without grouping the multiagent networks in advance. The necessary and sufficient condition is given to the leader-following bounded consensus tracking of the system by using the Hurwitz criterion and properties of the Laplacian matrix. A simulation is provided to verify the availability of the proposed impulsive control protocol. Furthermore, the result can be applied in obstacle avoidance and round up of target by regulating the intelligence degrees.

Distributed event-triggered consensus protocols for discrete-time multiagent systems

2021 ◽  
Author(s):  
Bilal J Karaki ◽  
Magdi S Mahmoud
Keyword(s):  
Multiagent Systems ◽  
Discrete Time ◽  
Sufficient Conditions ◽  
Control Law ◽  
Theory Approach ◽  
Consensus Protocol ◽  
Leader Following ◽  
And Control ◽  
Time Linear ◽  
Event Triggered

Abstract This paper focuses on leader-following and leaderless consensus problems of discrete-time multiagent systems. A distributed observer-based consensus protocol is proposed to investigate the consensus problem for multiagent systems of general discrete-time linear dynamics. By means of the observer, the distributed control law of each agent is designed using local information to guarantee consensus, and the corresponding sufficient conditions are obtained by exploiting graph and control theory approach. A modified distributed event-triggered consensus protocol is designed to reduce communication congestion. Detailed analysis of the leaderless and the leader-following consensus is presented for both observer-based and full-information protocols. Finally, two simulation examples are provided to demonstrate the effectiveness and capabilities of the established theories.

Leader-following consensus of discrete-time multiagent systems with time-varying delay based on large delay theory

2017 ◽  
Vol 417 ◽  
pp. 236-246 ◽  
Author(s):  
Huiwei Liu ◽  
Hamid Reza Karimi ◽  
Shengli Du ◽  
Weiguo Xia ◽  
Chongquan Zhong
Keyword(s):  
Multiagent Systems ◽  
Discrete Time ◽  
Time Varying ◽  
Large Delay ◽  
Time Varying Delay ◽  
Leader Following ◽  
Varying Delay

scholarly journals Adaptive Guaranteed-Performance Consensus Control for Multi-Agent Systems with an Adjustable Convergence Speed

2019 ◽  
Vol 2019 ◽  
pp. 1-9 ◽  
Author(s):  
Haiying Ma ◽  
Xiao Jia ◽  
Ning Cai ◽  
Jianxiang Xi
Keyword(s):  
Multiagent Systems ◽  
Sufficient Conditions ◽  
Convergence Speed ◽  
Multi Agent Systems ◽  
Consensus Protocol ◽  
Consensus Control ◽  
Control Gain ◽  
Multi Agent ◽  
The Stability ◽  
Theoretical Results

In this paper, adaptive guaranteed-performance consensus control problems for multiagent systems with an adjustable convergence speed are investigated. A novel adaptive guaranteed-performance consensus protocol is proposed, where the communication weights can be adaptively regulated. By the state space decomposition method and the stability theory, sufficient conditions for guaranteed-performance consensus are obtained and the guaranteed-performance cost is determined. Moreover, the lower bound of the convergence coefficient for multiagent systems is deduced, which is linearly adjustable approximately by changing the adaptive control gain. Finally, simulation examples are introduced to demonstrate theoretical results.

scholarly journals Bipartite Consensus of Heterogeneous Multiagent Systems Based on Distributed Event-Triggered Control

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-14 ◽  
Author(s):  
Xiaoyu Wang ◽  
Kaien Liu ◽  
Zhijian Ji ◽  
Shitao Han
Keyword(s):  
Multiagent Systems ◽  
Sufficient Conditions ◽  
Input Delay ◽  
Consensus Problem ◽  
Consensus Protocol ◽  
Control Scheme ◽  
Event Triggering ◽  
Bipartite Consensus ◽  
Theoretical Results ◽  
Event Triggered

In this paper, the bipartite consensus problem of heterogeneous multiagent systems composed of first-order and second-order agents is considered by utilizing the event-triggered control scheme. Under structurally balanced directed topology, event-triggered bipartite consensus protocol is put forward, and event-triggering functions consisting of measurement error and threshold are designed. To exclude Zeno behavior, an exponential function is introduced in the threshold. The bipartite consensus problem is transformed into the corresponding stability problem by means of gauge transformation and model transformation. By virtue of Lyapunov method, sufficient conditions for systems without input delay are obtained to guarantee bipartite consensus. Furthermore, for the case with input delay, sufficient conditions which include an admissible upper bound of the delay are obtained to guarantee bipartite consensus. Finally, numerical simulations are provided to illustrate the effectiveness of the obtained theoretical results.

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