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

Abstract

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.

Keywords

• switching signal selection
• H ∞ $H_{\infty} $ performance analysis
• switching control
• discrete switched systems
• Wirtinger inequality