Robust stability criteria for uncertain linear systems with interval time-varying delay |
| |
Authors: | Krishnan RAMAKRISHNAN and Goshaidas RAY |
| |
Affiliation: | Department of Electrical Engineering, Indian Institute of Technology Kharagpur, Kharagpur 721 302, West Bengal, India |
| |
Abstract: | This paper considers the robust delay-dependent stability problem of a class of linear uncertain system with interval time-varying delay and proposes less conservative stability criteria for computing the maximum allowable bound of the delay range. Less conservatism of the proposed stability criteria is attributed to the delay-central point method of stability analysis, wherein the delay interval is partitioned into two subintervals of equal length, and the time derivative of a candidate Lyapunov-Krasovskii functional based on delay decomposition technique is evaluated in each of these delay segments. In deriving the stability conditions in LMI framework, neither model transformations nor bounding techniques using free-weighting matrix variables are employed for dealing the cross-terms that emerge from the time derivative of the Lyapunov-Krasovskii functional; instead, they are dealt using tighter integral inequalities. The proposed analysis subsequently yields a stability condition in convex LMI framework that can be solved using standard numerical packages. For deriving robust stability conditions, two categories of system uncertainties, namely, time-varying structured and polytopic-type uncertainties, are considered. The effectiveness of the proposed stability criteria is validated through standard numerical examples. |
| |
Keywords: | Lyapunov-Krasovskii functional Robust stability Interval time-delay Delay-range-dependent stability Linear matrix inequality |
本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录! |
| 点击此处可从《控制理论与应用(英文版)》浏览原始摘要信息 |
|
点击此处可从《控制理论与应用(英文版)》下载全文 |
|