School of Electrical Engineering and Automation, Henan Polytechnic University, 454000 Henan, China.
School of Automation Science and Electrical Engineering, Beihang University, 100191 Beijing, China.
ISA Trans. 2019 Oct;93:137-144. doi: 10.1016/j.isatra.2019.03.001. Epub 2019 Mar 22.
This work investigates the stability and H performance of interval time-varying delay systems. The aim is to find new optimal analysis method, which can integrate the constructed Lyapunov-Krasovskii functional (LKF) with estimating technique effectively to reduce the conservatism of the main results. A new augmented vector and LKF with triple integral terms are constructed to establish relationships among different vectors firstly. Then two different integral inequalities are used to show how to integrate constructed LKF with estimating technique effectively to reduce the conservatism of the main criteria. Meanwhile, less conservative criteria are derived compared with some existing results. Numerical examples are also given to show the superiority of the proposed approaches.
本文研究了区间时变时滞系统的稳定性和 H 性能。目的是找到新的最优分析方法，该方法可以有效地将构建的 Lyapunov-Krasovskii 泛函 (LKF) 与估计技术结合起来，以减少主要结果的保守性。首先构建了一个新的增广向量和具有三重积分项的 LKF，以建立不同向量之间的关系。然后使用两个不同的积分不等式来展示如何有效地将构建的 LKF 与估计技术结合起来，以减少主要判据的保守性。同时，与一些现有结果相比，得出了更不保守的判据。数值例子也给出了所提出方法的优越性。
