Finite-Time Containment Control for Second-Order Multiagent Systems Under Directed Topology

This paper investigates the formation-containment control of second-order multiagent systems with intermittent communication. Distributed coordination control algorithms are proposed under aperiodic intermittent communication, where each agent only communicates with its neighboring agents on some disconnected time intervals. By means of constructing Lyapunov functions, sufficient convergence conditions are obtained for the leaders reaching a prescribed formation asymptotically and the followers converging into the convex hull formed by leaders asymptotically, respectively. Besides, sufficient convergence conditions are also provided for second-order multiagent systems converging to the desired formation-containment under time-varying communication delay and intermittent communication. Finally, the validity of theoretical results is illustrated by numerical simulations.

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Finite-time time-varying group formation tracking for second-order multiagent systems by continuous integral sliding mode

2020 Chinese Control And Decision Conference (CCDC) ◽

10.1109/ccdc49329.2020.9164618 ◽

2020 ◽

Author(s):

Lei Tian ◽

Qing Li ◽

Yongzhao Hua ◽

Xiwang Dong ◽

Qingdong Li ◽

...

Keyword(s):

Multiagent Systems ◽

Finite Time ◽

Sliding Mode ◽

Group Formation ◽

Second Order ◽

Time Varying ◽

Integral Sliding Mode ◽

Formation Tracking

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

Kybernetes ◽

10.1108/k-06-2013-0113 ◽

2014 ◽

Vol 43 (8) ◽

pp. 1248-1261 ◽

Cited By ~ 5

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.

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