Containment Control of Linear Multiagent Systems With Stochastic Disturbances via Event-Triggered Strategies

Containment Control of Linear Multiagent Systems With Stochastic Disturbances via Event-Triggered Strategies
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通过事件触发策略对具有随机扰动的线性多智能体系统进行遏制控制

DOI:
10.1109/jsyst.2020.2975247
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发表时间:
2020-03
影响因子:
4.4
通讯作者:
Xiang Zhengrong
Xiang Zhengrong
中科院分区:
计算机科学2区
文献类型:
--
作者:
Zou Wencheng;Huang Yueying;Ahn Choon Ki;Xiang Zhengrong

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在本文中,我们研究了一类多智能体系统的事件触发遏制控制问题,其中智能体由受随机扰动的高阶线性动力学描述。在事件触发的控制场景中,当指定的错误达到给定阈值时,控制操作就会更新。由于随机因素的存在,给定的阈值可能在任意短的时间间隔内达到,这使得芝诺行为难以避免。鉴于此,我们针对具有随机扰动的底层多智能体系统提出了两种新颖的事件触发遏制控制方案。利用随机控制理论、图论和李亚普诺夫泛函方法,证明追随者状态几乎肯定可以收敛到领导者状态所跨越的凸包。注意,不需要代理之间的连续通信,并且每个代理的事件间间隔的下限为正常数。因此,所提出的控制方案既实用又可实施。最后,给出了一个数值例子来说明所开发方案的有效性。
In this article, we investigate the event-triggered containment control problem for a class of multiagent systems, where agents are described by higher-order linear dynamics subject to stochastic disturbances. In event-triggered control scenarios, the control action is updated when a specified error reaches a given threshold. Due to the existence of stochastic factors, the given threshold may be reached in an any short time interval, which makes it hard to avoid Zeno behavior. In view of this, we propose two novel event-triggered containment control schemes for the underlying multiagent systems with stochastic disturbances. Using the stochastic control theory, graph theory, and Lyapunov functional method, it is proven that the followers' states can almost surely converge to the convex hull spanned by the leaders’ states. It is noted that the continuous communications among agents are not required and each agent's inter-event intervals are lower-bounded by a positive constant. As such, the proposed control schemes are both practical and implementable. Finally, a numerical example is presented to illustrate the developed schemes’ effectiveness.
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