Projective synchronisation of variable‐order systems via fractional sliding mode control approach
Projective synchronisation of variable‐order systems via fractional sliding mode control approach
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DOI：
10.1049/iet-cta.2019.0608
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发表时间：
2020-01
影响因子：
2.6
通讯作者：
Xin Meng;Y. Kao;Cunchen Gao;Baoping Jiang
中科院分区：
文献类型：
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作者：
Xin Meng;Y. Kao;Cunchen Gao;Baoping Jiang
研究了分数阶变阶主从系统的投影同步问题。首先，基于Grunwald-Letnikov定义，对所考虑的分数阶变阶系统设计了一个适用的指数律。其次，提出了两种不同的分数阶变阶滑动曲面函数来研究投影同步问题。同时，得到了保证投影同步误差渐近稳定的充分条件。最后通过数值算例验证了该方法的有效性和可行性。
This study concerns with the projective synchronisation problem of fractional variable-order master-slave systems via the fractional sliding mode control. Firstly, an applicative index law is designed for the considered fractional variable-order system based on the Grunwald-Letnikov definition. Secondly, two different fractional variable-order sliding surface functions are proposed to study this projective synchronisation problem. Meanwhile, sufficient conditions are obtained to ensure the projective synchronising error is asymptotically stable. Finally, numerical examples show the validity and feasibility of the proposed approach.