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Controller design for fractional-order interconnected systems with unmodeled dynamics
Nonlinear Dynamics ( IF 5.6 ) Pub Date : 2021-02-15 , DOI: 10.1007/s11071-020-06177-2
Changchun Hua , Jinghua Ning , Xinping Guan

This paper focuses on the output feedback tracking control for fractional-order interconnected systems with unmodeled dynamics. The reduced order high gain K-filters are designed to construct the estimation of the unavailable system state. Unmodeled dynamics is extended to the general fractional-order dynamical systems for the first time which is characterized by introducing a dynamical signal r(t). An adaptive output feedback controller is established using the fractional-order Lyapunov methods and proposed by novel dynamic surface control strategy. Then, it is confirmed that the considered system is semi-globally bounded stable and the errors between outputs and the desired trajectories can concentrate to a small neighborhood of the origin. Finally, a simulation example is introduced to demonstrate the correctness of the supplied controller.



中文翻译:

具有未建模动力学的分数阶互连系统的控制器设计

本文重点研究具有未建模动力学的分数阶互连系统的输出反馈跟踪控制。降阶高增益K滤波器被设计为构造不可用系统状态的估计。未建模的动力学首次扩展到一般分数阶动力学系统,其特征是引入了动力学信号rt)。利用分数阶Lyapunov方法建立了自适应输出反馈控制器,并提出了一种新颖的动态表面控制策略。然后,可以确定所考虑的系统是半全局有界的稳定系统,并且输出和所需轨迹之间的误差可以集中到原点的较小邻域上。最后,引入一个仿真示例来演示所提供控制器的正确性。

更新日期:2021-02-16
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