This paper is concerned with stability analysis and stabilisation of uncertain Networked Control Systems (NCS) with network-induced delay and packet dropouts. This proposal aims at maximising the allowable upper bound of network-induced delay, together with the number of consecutive packet dropouts, from which uncertain and disturbed NCS plants are stable. A novel augmented Lyapunov–Krasovskii functionals (LKF), dependent on both the lower and upper bounds of the network-induced time-varying delay, is considered to derive the proposed delay-dependent LMI-based $H_{\mathrm{\infty }}$ stability conditions. Relaxation of these conditions are obtained by exploiting simple and double integral Wirtinger's inequalities to introduce more degrees of freedom from the LKF terms than existing related conditions in the literature. Finally, numerical examples and simulation results are presented to illustrate the effectiveness and the conservatism improvement raised by this proposal compared to previous related results.

本文涉及具有网络引起的延迟和数据包丢失的不确定网络控制系统 (NCS) 的稳定性分析和稳定性。该提议旨在最大化网络引起的延迟的允许上限，以及连续丢包的数量，其中不确定和受干扰的 NCS 设备是稳定的。一种新颖的增强 Lyapunov-Krasovskii 泛函 (LKF)，依赖于网络引起的时变延迟的下限和上限，被认为可以推导出所提出的基于 LMI 的延迟依赖$H_{\mathrm{\infty }}$稳定条件。这些条件的松弛是通过利用简单和双积分 Wirtinger 不等式从 LKF 项引入比文献中现有相关条件更多的自由度来获得的。最后，给出了数值例子和模拟结果，以说明与以前的相关结果相比，该建议提出的有效性和保守性改进。