H ∞ ${H} _{ {\infty}} $ analysis and switching control for uncertain discrete switched time-delay systems by discrete Wirtinger inequality

Autor: Ker-Wei Yu, Chang-Hua Lien, Hao-Chin Chang
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Advances in Difference Equations, Vol 2017, Iss 1, Pp 1-22 (2017)
Druh dokumentu: article
ISSN: 1687-1847
DOI: 10.1186/s13662-017-1405-x
Popis: Abstract In this paper, the H ∞ $H_{\infty} $ performance analysis and switching control of uncertain discrete switched systems with time delay and linear fractional perturbations are considered via a switching signal design. Lyapunov-Krasovskii type functional and discrete Wirtinger inequality are used in our approach to improve the conservativeness of the past research results. Less LMI variables and shorter program running time are provided than our past proposed results. Finally, two numerical examples are given to show the improvement of the developed results.
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