Modiri Arshia, Mobayen Saleh
Advanced Control Systems Laboratory, Department of Electrical Engineering, Faculty of Engineering, University of Zanjan, Zanjan 3879145371, Iran.
Advanced Control Systems Laboratory, Department of Electrical Engineering, Faculty of Engineering, University of Zanjan, Zanjan 3879145371, Iran; Future Technology Research Center, National Yunlin University of Science and Technology, 123 University Road, Section 3, Douliou, Yunlin 64002, Taiwan, ROC.
ISA Trans. 2020 Oct;105:33-50. doi: 10.1016/j.isatra.2020.05.039. Epub 2020 May 27.
The main goal in this article is synchronization of fractional-order uncertain chaotic systems in the finite time. For this aim, a terminal sliding mode controller with fractional sliding surface is employed to synchronize the states of two different fractional order chaotic systems with parameter uncertainties and external disturbances. This approach is robust when the effects of perturbations are derived into account. A fractional-order adaptive terminal sliding mode controller is developed to estimate the upper bounds of perturbations. Both suggested control laws are useful for fractional-order uncertain chaotic master-slave systems. Demonstrative simulation outcomes for Lorenz and Chen fractional-order systems with model perturbations and the engineering application on message telecommunication indicate the efficiency and usefulness of the recommended design.
本文的主要目标是在有限时间内实现分数阶不确定混沌系统的同步。为此，采用具有分数阶滑模面的终端滑模控制器来同步两个具有参数不确定性和外部干扰的不同分数阶混沌系统的状态。当考虑扰动的影响时，该方法具有鲁棒性。开发了一种分数阶自适应终端滑模控制器来估计扰动的上界。这两种建议的控制律对分数阶不确定混沌主从系统都很有用。对具有模型扰动的Lorenz和Chen分数阶系统的演示仿真结果以及在消息通信中的工程应用表明了所推荐设计的有效性和实用性。
