Adaptive robust state feedback controllers for a class of dynamical systems with delayed state perturbations
Adaptive robust state feedback controllers for a class of dynamical systems with delayed state perturbations
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一类具有延迟状态扰动的动力系统的自适应鲁棒状态反馈控制器
DOI：
10.1109/acc.2000.879253
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发表时间：
2000
期刊：
影响因子：
--
通讯作者：
Hansheng Wu
中科院分区：
文献类型：
--
作者：
Hansheng Wu
研究了一类具有时滞状态扰动的动力系统的鲁棒镇定问题。在本文中，时滞状态扰动的界是未知的，并提出了一个自适应律来估计这个未知的界。此外，利用这个未知界的更新值，我们提出了一个无记忆状态反馈控制器。基于Lyapunov-Krasovskii泛函，证明了所提出的自适应鲁棒控制方案所得到的闭环系统在一致最终有界意义下是全局稳定的.最后，通过数值算例验证了结果的有效性.
The problem of robust stabilization for a class of dynamical systems with delayed state perturbations is considered. In this paper, the bound of the delayed state perturbations is assumed to be unknown, and an adaptation law is proposed to estimate this unknown bound. Moreover, by making use of the updated values of this unknown bound we propose a memoryless state feedback controller. Based on the Lyapunov-Krasovskii functional, it is shown that the closed-loop system resulting from the proposed adaptive robust control schemes is globally stable in the sense of uniform ultimate boundedness. Finally, a numerical example is given to demonstrate the validity of the results.