IEEE Trans Cybern. 2019 Apr;49(4):1512-1523. doi: 10.1109/TCYB.2018.2807587. Epub 2018 Mar 7.
This paper investigates the stabilization problem of uncertain networked control systems with additive time-varying delays by using nonfragile sampled-data control. Suitable Lyapunov-Krasovskii functional (LKF) is constructed which includes more information about the additive time-varying delays. The main aim of this paper is to design a nonfragile sampled-data control scheme which guarantees asymptotic stability of the considered system. Besides that, the Jensen's and improved integral inequalities are used for estimating the single and double integral terms in the derivative of LKFs and the sufficient conditions are expressed in terms of linear matrix inequalities. Finally, the effectiveness of proposed theoretical results are validated and compared with existing literature by numerical examples and their simulation results.
本文研究了具有加性时变时滞的不确定网络控制系统的稳定化问题，采用非脆弱采样数据控制。构造了合适的李雅普诺夫-克拉索夫斯基泛函（LKF），该泛函包含了更多关于加性时变时滞的信息。本文的主要目的是设计一种非脆弱采样数据控制方案，以保证所考虑系统的渐近稳定性。此外，采用 Jensen 积分不等式和改进的积分不等式来估计 LKF 导数中的单个和双个积分项，并用线性矩阵不等式表示充分条件。最后，通过数值示例及其仿真结果验证了所提出的理论结果的有效性，并与现有文献进行了比较。
