Abstract
The problem of stabilizing switched linear systems under asynchronous switching is addressed. The admissible edge-dependent average dwell time method is applied to design a switching signal that comprises slow admissible edge-dependent average dwell time and fast admissible edge-dependent average dwell time. Under this switching signal, the restriction that the maximum delay of asynchronous switching is known in advance is removed. The constructed Lyapunov function is associated with both the system mode and controller mode. The stabilization criteria and the corresponding algorithm are presented to obtain the controller gains and to design the switching signal. Finally, two examples are given to demonstrate the effectiveness of the proposed results.
摘要
本文研究异步切换条件下切换线性系统的镇定问题。采用可容许边依赖平均驻留时间方法, 设计包含慢可容许边依赖平均驻留时间和快可容许边依赖平均驻留时间的切换信号。这种切换信号设计方法消除了异步切换最大延迟事先已知的限制。构造的李雅普诺夫函数与系统模态和控制器模态均相关。给出了获取控制器增益和设计切换信号的稳定性准则及相应算法。最后, 通过两个算例验证了所提结果的有效性。
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Linlin HOU designed the research. Linlin HOU and Xuan MA processed the data. Xuan MA carried out the simulations. Linlin HOU drafted the paper. Haibin SUN helped organize the paper. Xuan MA and Haibin SUN revised and finalized the paper.
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Linlin HOU, Xuan MA, and Haibin SUN declare that they have no conflict of interest.
Project supported by the National Natural Science Foundation of China (Nos. 61873331, 61773236, and 61773235) and the Natural Science Foundation of Shandong Province, China (No. ZR2020YQ48)
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Hou, L., Ma, X. & Sun, H. Stabilization of switched linear systems under asynchronous switching subject to admissible edge-dependent average dwell time. Front Inform Technol Electron Eng 23, 810–822 (2022). https://doi.org/10.1631/FITEE.2000698
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DOI: https://doi.org/10.1631/FITEE.2000698