H∞ Sampled-Data Control for Singular Neutral System. (12th January 2017)

• Record Type: Journal Article
• Authors: Zheng, Minjie; Zhou, Yujie; Yang, Shenhua; Li, Lina; Suo, Yongfeng
• Other Names: Loiseau Jean J. Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2017(2017)
• Publication Date: 2017-01-12
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2017/8919714
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : This study is concerned with the H ∞ control problem for singular neutral system based on sampled-data. By input delay approach and a composite state-derivative control law, the singular system is turned into a singular neutral system with time-varying delay. Less conservative result is derived for the resultant system by incorporating the delay decomposition technique, Wirtinger-based integral inequality, and an augmented Lyapunov-Krasovskii functional. Sufficient conditions are derived to guarantee that the resulting system is regular, impulse-free, and asymptotically stable with prescribed H ∞ performance. Then, the H ∞ sampled-data controller is designed by means of linear matrix inequalities. Finally, two simulation results have shown that the proposed method is effective.