Distributed consensus tracking of unknown nonlinear chaotic delayed fractional-order multi-agent systems with external disturbances based on ABC algorithm

Distributed consensus tracking of unknown nonlinear chaotic delayed fractional-order multi-agent systems with external disturbances based on ABC algorithm
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基于ABC算法的外部扰动未知非线性混沌时滞分数阶多智能体系统分布式一致性跟踪

DOI:
10.1016/j.cnsns.2018.11.011
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发表时间:
2019-06
影响因子:
3.9
通讯作者:
于永光
于永光
中科院分区:
数学2区
文献类型:
--
作者:
胡伟;闻国光;Rahmani Ahmed;于永光

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研究了分数阶数和系统参数未知的具有外部扰动的非线性时滞分数阶多智能体混沌系统(FOMAS)的分布式一致性跟踪问题.首先,为了辨识时滞非线性FOMAS的未知参数,提出了一种基于人工蜂群算法的参数估计方法。其次,基于估计的参数,利用分数阶导数不等式和线性时滞分数阶方程的比较原理,提出了一种非连续分布控制方案,使跟踪误差渐近收敛到零。第三,为了克服不连续控制器引起的抖振现象,进一步设计了连续分布控制算法,可以获得一致最终有界(UUB)的跟踪误差,并减少到所需的小。最后,数值仿真验证了所提出的参数估计方案和控制算法的有效性。
In this paper, the distributed consensus tracking of unknown nonlinear chaotic delayed fractional-order multi-agent systems (FOMASs) with external disturbances is investigated, where the fractional orders and system parameters are unknown. Firstly, in order to identify the unknown parameters of the delayed nonlinear FOMASs, an efficient artificial bee colony algorithm (ABC)-based parameters estimation approach is put forward. Secondly, based on the estimated parameters, by using fractional derivative inequality and comparison principle of linear fractional equation with delay, a discontinuous distributed control protocol is proposed to make the tracking errors converge to zero asymptotically. Thirdly, to overcome the undesirable chattering phenomenon caused by the discontinuous controller, a continuous distributed control algorithm is further designed and uniformly ultimately bounded (UUB) tracking errors can be obtained and reduced as small as desired. Finally, numerical simulations are given to test the effectiveness of the proposed parameters estimation scheme and the deigned control algorithms.
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