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Exponential stabilization of chaotic systems based on fuzzy time-triggered intermittent control
Chaos, Solitons & Fractals ( IF 7.8 ) Pub Date : 2022-07-30 , DOI: 10.1016/j.chaos.2022.112390
Shuo Peng, Qingzhi Wang, Baozeng Fu

The exponential stabilization of chaotic systems is studied via fuzzy time-triggered intermittent control (FTIC). For the Takagi-Sugeno (T-S) fuzzy model representing a chaotic system, the mathematical description of FTIC is presented initially. Compared with fuzzy intermittent control (FIC), FTIC just needs the information at sampling instants on control time intervals. Compared with fuzzy sampled-data control (FSC), FTIC only transmits partial sampling data. Then, for the deduced FTIC system, a novel mixed Lyapunov functional is constructed to establish an exponential stabilization theorem. Based on it, FTIC can be designed. Further, the amount of transmitted data and the cost function are considered as two performance indexes. Finally, the inverted pendulum system and the chaotic Lorenz system are taken as examples to show the effectiveness and superiority of FTIC.



中文翻译:

基于模糊时间触发间歇控制的混沌系统指数镇定

通过模糊时间触发间歇控制(FTIC)研究了混沌系统的指数稳定性。对于代表混沌系统的Takagi-Sugeno(TS)模糊模型,首先给出了FTIC的数学描述。与模糊间歇控制 (FIC) 相比,FTIC 只需要控制时间间隔上的采样时刻信息。与模糊采样数据控制 (FSC) 相比,FTIC 仅传输部分采样数据。然后,对于推导的 FTIC 系统,构造了一个新的混合 Lyapunov 泛函,以建立指数稳定定理。在此基础上,可以设计FTIC。此外,传输数据量和成本函数被视为两个性能指标。最后,

更新日期:2022-07-31
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