A robust control scheme for synchronizing fractional order disturbed chaotic systems with uncertainty and time-varying delay

IF 3.2 Q2 AUTOMATION & CONTROL SYSTEMS Systems Science & Control Engineering Pub Date : 2022-05-13 DOI:10.1080/21642583.2022.2040059
Hai-Bo Gu, Jianhua Sun, H. Imani
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Abstract

In this paper, a new method is presented for synchronization between two fractional order delayed chaotic systems, while there is uncertainty on the models and external disturbances enter the systems at the same time. The considered delay in the fractional order system is unspecified and varied with time, and of course it is present in different forms in master and slave systems. External disturbances enter the master–slave systems in a finite manner, albeit with an undetermined upper bound, and uncertainty is present in the nonlinear functions of chaotic systems. The goal of synchronizing a particular class of master–slave chaotic systems is achieved through a combination of adaptive and sliding mode techniques. The sliding mode method has been used to cover the effects of uncertainties and delay functions, and an adaptive method has been applied to ensure the stability of the proposed synchronization technique, disturbance upper bound estimation and overcoming the effects of delay variability. A practical example of the innovative method is simulated in MATLAB environment and the obtained results confirm the optimal efficiency of the proposed synchronization method.
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具有不确定性和时变时滞的分数阶扰动混沌系统同步的鲁棒控制方案
针对两个分数阶延迟混沌系统存在不确定性和外部干扰同时存在的情况,提出了一种新的同步方法。分数阶系统中所考虑的延迟是不确定的,并且随时间而变化,当然,它在主从系统中以不同的形式存在。外部干扰以有限的方式进入主从系统,尽管具有不确定的上界,并且混沌系统的非线性函数中存在不确定性。通过自适应和滑模技术的结合,实现了对一类主从混沌系统的同步。采用滑模方法覆盖不确定性和延迟函数的影响,并采用自适应方法确保所提出的同步技术的稳定性、干扰上界估计和克服延迟可变性的影响。在MATLAB环境中对该方法进行了仿真,仿真结果验证了该同步方法的最佳效率。
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来源期刊
Systems Science & Control Engineering
Systems Science & Control Engineering AUTOMATION & CONTROL SYSTEMS-
CiteScore
9.50
自引率
2.40%
发文量
70
审稿时长
29 weeks
期刊介绍: Systems Science & Control Engineering is a world-leading fully open access journal covering all areas of theoretical and applied systems science and control engineering. The journal encourages the submission of original articles, reviews and short communications in areas including, but not limited to: · artificial intelligence · complex systems · complex networks · control theory · control applications · cybernetics · dynamical systems theory · operations research · systems biology · systems dynamics · systems ecology · systems engineering · systems psychology · systems theory
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