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Fractional dynamic sliding mode control for non-identical uncertain fractional chaotic systems

机译:非相同不确定分数混沌系统的分数动态滑模控制

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摘要

Using the fractional calculus a novel dynamic sliding mode control is proposed for control and synchronisation between different fractional chaotic systems with matched disturbances. Lyapunov stability theory has guaranteed the stability of the closed-loop system. The synchronisation and control of two chaotic Lorenz-Stenflo (LS) and Qi systems in master-slave configuration are realised by the presented controller. Furthermore, the obtained chaotic fractional LS and Qi motions are sorted out for qualitative and quantitative study using Lyapunov exponents and bifurcation diagrams with respect to fractional-order of the systems. In the fractional-order LS and Qi systems chaos can exist with order as low as 3.76 and 3.48, respectively. The control method is presented for eliminating chattering disadvantage of sliding mode control in a finite time.
机译:使用分数微积分新颖的动态滑模控制,用于控制和同步与匹配干扰的不同分数混沌系统。 Lyapunov稳定性理论保证了闭环系统的稳定性。 通过所提出的控制器实现了主从配置中的两个混沌Lorenz-stenflo(LS)和QI系统的同步和控制。 此外,通过Lyapunov指数和分叉图对系统的分数顺序,对所获得的混沌分数LS和QI运动进行分类出用于定性和定量研究。 在分数阶LS和QI系统中,混沌可以分别存在低至3.76和3.48的顺序。 提供了控制方法,用于消除有限时间中滑模控制的抖动缺点。

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