Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900753 | Applied Mathematics and Computation | 2018 | 11 Pages |
Abstract
This paper is concerned with the robust Hâ control problem of uncertain linear system with interval time-varying delays. Firstly, by using Wirtinger inequality approach, after constructing a new Lyapunov functional, the novel robust delay-dependent stability and stabilization criteria are developed. These improved results are expected to have less conservatism, due to the utilization of Wirtinger inequality and consideration of the information of the lower bound of time delay. Secondly, based on the obtained criteria, the memoryless Hâ state feedback controller design scheme is presented, thus robust Hâ controller design and performance analysis for uncertain linear system are developed. For a prescribed Hâ performance level, the designed robust Hâ controller can guarantee the uncertain linear system to be robustly stable and endure a larger delay. At last, numerical examples are provided to illustrate the effectiveness and superiority of the developed results.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yonghui Sun, Ning Li, Mouquan Shen, Zhinong Wei, Guoqiang Sun,