Further results on delay-dependent robust H∞ control for uncertain systems with interval time-varying delays. (1st April 2021)

• Record Type: Journal Article
• Authors: Liu, Haibo; Qian, Wei; Xing, Weiwei; Zhao, Zhizheng
• Is Part Of: Systems science & control engineering. Volume 9(2021)Supplement 1
• Page Start: 30
• Page End: 40
• Publication Date: 2021-04-01
• Subjects: Uncertain systems -- interval time-varying delay -- robust H∞ control -- reciprocally convex approach; System theory -- Periodicals; Automatic control -- Periodicals; 003.05
• DOI: 10.1080/21642583.2020.1833785
• Languages: English
• ISSNs: 2164-2583

Abstract

Abstract : This work focuses on the delay-dependent robust H ∞ control for uncertain linear systems with interval time-varying delays. The key features of the method include employment of a tighter integral inequality and construction of an appropriate Lyapunov–Krasovskii functionals (LKF). Meanwhile, the delay-dependent conditions with less conservatism are derived owing to the consideration of the information of the lower bound of time delay. Based on the obtained criteria, robust H ∞ controller design and performance analysis for the uncertain system are presented. Some numerical examples are also provided to show the effectiveness and advantage of the main results.