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Finite-time H∞ static and dynamic output feedback control for a class of switched nonlinear time-delay systems
Applied Mathematics and Computation ( IF 4 ) Pub Date : 2021-01-01 , DOI: 10.1016/j.amc.2020.125557
Hadi Gholami , Mohammad Hossein Shafiei

Abstract In this paper, static and dynamic output feedback controllers are designed for a class of switched nonlinear time-delay systems in the presence of exogenous disturbances and parameter uncertainties to achieve finite-time boundedness (FTB) of the closed-loop system. Moreover, an H∞ index is guaranteed with respect to the exogenous disturbances using auxiliary matrices and the average dwell time method (ADT). The presented theorems in this paper are less conservative compared to the existing papers and there are more degrees of freedom to achieve a feasible solution. Then, the proposed static and dynamic controllers are derived for linear cases to avoid unnecessary conservatism. Finally, to illustrate the capabilities of the designed controllers, three examples are simulated and the performance of the proposed controllers is compared with existing methods.

中文翻译:

一类开关非线性时滞系统的有限时间H∞静态和动态输出反馈控制

摘要 本文针对一类存在外源扰动和参数不确定性的开关非线性时滞系统设计了静态和动态输出反馈控制器,以实现闭环系统的有限时间有界性(FTB)。此外,使用辅助矩阵和平均停留时间方法 (ADT) 保证了相对于外生干扰的 H∞ 指数。与现有论文相比,本文提出的定理不太保守,并且有更多的自由度来实现可行的解决方案。然后,针对线性情况推导出所建议的静态和动态控制器,以避免不必要的保守。最后,为了说明设计的控制器的功能,
更新日期:2021-01-01
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