Simple switching signal design for H∞ performance and control of switched time-delay systems. (August 2018)

• Record Type: Journal Article
• Authors: Lien, Chang-Hua; Yu, Ker-Wei; Hsieh, Jer-Guang; Chung, Long-Yeu; Chen, Jenq-Der
• Is Part Of: Nonlinear analysis. Volume 29(2018)
• Page Start: 203
• Page End: 220
• Publication Date: 2018-08
• Subjects: Stabilizability -- H∞ performance -- Wirtinger-based inequality -- Switched system -- Switching signal -- Switching control; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2018.02.001
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: In this paper, a simple switching signal design scheme for H ∞ performance analysis and control of switched time-delay systems with linear fractional perturbations is developed. Delay-dependent LMI-based criteria are proposed to achieve the design of switching signal and control. All the LMI problems in our main results can be solved numerically by Matlab LMI toolbox. Wirtinger-based inequality is used in our approach to improve the conservativeness of the past research results. Finally, some numerical examples are illustrated to show the main improvement. Highlights: The results provide less LMI variables and shorter program running time. The design scheme for switching signal is simple and more flexible. The Wirtinger-based inequality is used to improve the results.