The problem of robust stabilisation for a class of uncertain dynamical systems with multiple delayed state perturbations is considered. In this paper, the upper bound of the nonlinearity and uncertainty, including delayed states, is assumed to be a linear function of some parameters which are still assumed to be unknown and an improved adaptation law with $\sigma -$modification is proposed to estimate these unknown gains. Moreover, by making use of the updated values of these unknown bounds, we propose a memoryless state feedback controller for such a class of uncertain time-delay systems. Based on Lyapunov stability theory and Lyapunov-Krasovskii functional, it is shown that the closed-loop dynamical system resulting from the proposed adaptive robust control schemes in the presence of multiple delayed state perturbations is globally uniformly practically exponentially stable. Finally, a numerical example is given to demonstrate the validity of the results.

考虑了一类具有多个延迟状态扰动的不确定动力系统的鲁棒镇定问题。在本文中，非线性和不确定性的上限，包括延迟状态，被假设为一些参数的线性函数，这些参数仍然假设是未知的，并且改进了自适应律$\sigma -$建议修改以估计这些未知的收益。此外，通过利用这些未知边界的更新值，我们为这类不确定时滞系统提出了一种无记忆状态反馈控制器。基于 Lyapunov 稳定性理论和 Lyapunov-Krasovskii 泛函，表明在存在多个延迟状态扰动的情况下，由所提出的自适应鲁棒控制方案产生的闭环动态系统是全局一致的，实际上指数稳定。最后,给出了一个数值例子来证明结果的有效性。