Second-order consensus of multi-agent systems with mixed delays and uncertain parameters via adaptive pinning aperiodically intermittent control

2019 ◽  
Vol 37 (2) ◽  
pp. 625-643
Author(s):  
Boling Zhou ◽  
Yongqing Yang ◽  
Xianyun Xu
Keyword(s):  
Second Order ◽  
Jensen Inequality ◽  
Mixed Delays ◽  
Intermittent Control ◽  
Uncertain Parameters ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Control Protocol ◽  
Communication Time ◽  
Multi Agent

Abstract This paper investigates the second-order consensus of multi-agent systems with mixed delays and uncertain parameters. On one hand, an adaptive pinning aperiodically intermittent control protocol is designed to make multi-agent systems reach the second-order consensus. Moreover, the intermittent control protocol can be designed to be aperiodic, which means each agent can only obtain the relative states’ information from its neighbours at a sequence of disconnected aperiodic time intervals. On the other hand, based on the assumption that delay is less than the width of communication time, some consensus criterions in the form of matrix inequalities are derived by using Halanay inequality, Jensen inequality and Schur complement. At last, a simulation example is given to illustrate the correctness of the theoretical analysis.

Containment control of second-order multi-agent systems with directed topology and time-delays

Kybernetes ◽  
2014 ◽  
Vol 43 (8) ◽  
pp. 1248-1261 ◽  
Author(s):  
Bin Qi ◽  
Xuyang Lou ◽  
Baotong Cui
Keyword(s):  
Time Delay ◽  
Time Delays ◽  
Second Order ◽  
Multi Agent Systems ◽  
Containment Control ◽  
Content Type ◽  
Directed Topology ◽  
Agent Systems ◽  
Communication Time ◽  
Multi Agent

Purpose – The purpose of this paper is to discuss the impacts of the communication time-delays to the distributed containment control of the second-order multi-agent systems with directed topology. Design/methodology/approach – A basic theoretical analysis is first carried out for the containment control of the second-order multi-agent systems under directed topology without communication time-delay and a sufficient condition is proposed for the achievement of containment control. Based on the above result and frequency-domain analysis method, a sufficient condition is also derived for the achievement of containment control of the second-order multi-agent systems under directed topology with communication time-delays. Finally, simulation results are presented to support the effectiveness of the theoretical results. Findings – For the achievement of containment control of the second-order multi-agent systems under directed topology with communication time-delay, the control gain in the control protocols is completely dependent on the communication topology structure and the maximum of time-delay in the control protocols is dependent on the given control gain and communication topology structure. Originality/value – The paper investigates the containment control of the second-order multi-agent systems under directed topology with communication time-delays and presents a sufficient conditions for the achievement of containment control. The results and approach proposed in the paper may benefit interesting researchers.

Compensator-based periodically intermittent control for nonlinear second-order multi-agent systems

2021 ◽  
pp. 095965182110489
Author(s):  
Ruitian Yang ◽  
Li Peng ◽  
Yongqing Yang
Keyword(s):  
Communication Networks ◽  
Control Algorithm ◽  
Control Process ◽  
Second Order ◽  
Intermittent Control ◽  
Multi Agent Systems ◽  
Periodically Intermittent Control ◽  
Agent Systems ◽  
Multi Agent ◽  
Bipartite Consensus

This article studies leader-following bipartite consensus control of a class of nonlinear second-order multi-agent systems. A new compensator-based periodically intermittent control algorithm is proposed for the second-order multi-agent systems. The compensator can be implemented in a fully distributed way. In other words, in order to construct the compensator for a certain agents, the values of measurement output of each agent and its neighbor agents are monitored for the construction of compensator. Considering the limited bandwidth of communication networks, the state variable of compensator is used by the controller for each follower to construct a novel periodically intermittent control algorithm, which can effectively reduce the communication frequency among agents in the control process. By combing stability theory and algebra graph theory, the criteria are obtained for the achievement of global exponential bipartite consensus under a fixed directed topology. Finally, some numerical examples are provided to illustrate the performance of the proposed control algorithm.

scholarly journals Robust Consensus Problem of Heterogeneous Uncertain Second-Order Multi-Agent Systems Based on Sliding Mode Control

2021 ◽  
Vol 2 ◽  
Author(s):  
Ni ZHAO ◽  
Jian-dong ZHU
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Second Order ◽  
Uncertain Parameters ◽  
Consensus Problem ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Mode Control ◽  
Multi Agent ◽  
Robust Consensus

This paper investigates the robust consensus problem for heterogeneous second-order multi-agent systems with uncertain parameters. Based on the sliding mode control method, novel robust consensus protocols are designed for the linear multi-agent systems with uncertain parameters and a class of uncertain nonlinear multi-agent systems. Finally, numerical simulations are given to verify the effectiveness of the proposed protocols.

Formation Tracking Control of Second-Order Multi-Agent Systems With Time-Varying Delay

2018 ◽  
Vol 140 (11) ◽  
Author(s):  
Tao Li ◽  
Zhipeng Li ◽  
Haitao Zhang ◽  
Shumin Fei
Keyword(s):  
Tracking Control ◽  
Second Order ◽  
Time Varying ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Time Varying Delay ◽  
Formation Tracking ◽  
Communication Time ◽  
Multi Agent ◽  
Varying Delay

This paper considers the problem on formation tracking control of second-order multi-agent systems (MASs) with communication time-varying delay. Sufficient conditions on the directed interaction topology and existence of the feedback gains to ensure the desired control are presented. Through choosing two augmented Lyapunov–Krasovskii (L–K) functionals and using some novel Wirtinger-based integral inequalities, the previously ignored information can be reconsidered and the application area of derived results can be greatly extended. Moreover, a novel constructive technique is given to compute out the controller gain by resorting to solving the achieved linear matrix inequalities (LMIs). Finally, a numerical example with comparisons and simulations is provided to illustrate the obtained results.

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