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Apr.  2014

IEEE/CAA Journal of Automatica Sinica

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Article Navigation >  IEEE/CAA Journal of Automatica Sinica  > 2014  >  1(2): 134-140
Huiyang Liu, Long Cheng, Min Tan and Zengguang Hou, "Containment Control of General Linear Multi-agent Systems with Multiple Dynamic Leaders: a Fast Sliding Mode Based Approach," IEEE/CAA J. of Autom. Sinica, vol. 1, no. 2, pp. 134-140, 2014.
Citation: Huiyang Liu, Long Cheng, Min Tan and Zengguang Hou, "Containment Control of General Linear Multi-agent Systems with Multiple Dynamic Leaders: a Fast Sliding Mode Based Approach," IEEE/CAA J. of Autom. Sinica, vol. 1, no. 2, pp. 134-140, 2014.
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Containment Control of General Linear Multi-agent Systems with Multiple Dynamic Leaders: a Fast Sliding Mode Based Approach

  • State Key Laboratory of Management and Control for Complex Systems, Institute of Automation, Chinese Academy of Sciences, Beijing 100190, China

Funds:

This work was supported by China Postdoctoral Science Foundation (2012M520459), National Natural Science Foundation of China (61370032, 61273337, 61304170, 61225017), and Beijing Nova Program (Z121101002512066).

    Abstract
  • In this paper, distributed containment control problems of general linear multi-agent systems are investigated. The objective is to make the followers in a multi-agent network converge to the convex hull spanned by some leaders whose control inputs are nonzero and not available to any followers. Sliding mode surfaces are defined for the cases of reduced order and non-reduced order, respectively. For each case, fast sliding mode controllers are designed. It is shown that all the error trajectories exponentially reach the sliding mode surfaces in a finite time if for each follower, there exists at least one of the leaders who has a directed path to the follower, and the leaders' control inputs are bounded. The control Lyapunov function for exponential finite time stability, motivated by the fast terminal sliding mode control, is used to prove reachability of the sliding mode surfaces. Simulation examples are given to illustrate the theoretical results.

     

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