In this paper, stabilizing the unstable periodic orbits (UPO) in a chaotic fractional order system called Van der Pol is studied. Firstly, a technique for finding unstable periodic orbit in chaotic fractional order systems is stated. Then by applying this technique to the van der Pol system, unstable periodic orbit of system is found. After that, a method is presented for stabilization of the discovered UPO based on theories stability of the linear integer order and fractional order systems. Finally, a linear feedback controller was applied to the system and simulation is done for demonstration of controller performance.
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机译：在本文中，研究了稳定在称为van der Pol的混沌分数阶系统中的不稳定周期轨道（UPO）。首先，陈述了用于在混沌分数阶系统中寻找不稳定的周期性轨道的技术。然后通过将该技术应用于van der Pol系统，找到了系统的不稳定周期性轨道。之后，基于线性整数顺序和分数阶系统的理论稳定性，提出了一种用于稳定所发现的UPO的方法。最后，应用了线性反馈控制器对系统，进行了模拟，用于演示控制器性能。
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