Article ID Journal Published Year Pages File Type
6957789 Signal Processing 2018 27 Pages PDF
Abstract
This paper deals with the L2−L∞ filtering problem for stochastic systems with time-varying delay. First, based on the Bessel-Legendre inequality, a new stochastic integral inequality is established, which is called Bessel-Legendre stochastic inequality. Then, a new Lyapunov-Krasovskii functional is constructed for a stochastic time-varying delay system by utilizing Legende polynomials. With the help of the Bessel-Legendre stochastic inequality and the new Lyapunov-krasovskii functional, an L2−L∞ filter is developed, which can guarantee the filtering error system to be asymptotically mean-square stable with a prescribed L2−L∞ performance level. Finally, numerical examples are given to illustrate the effectiveness of the proposed filtering approach. The example results show that the proposed approach is less conservative than existing ones in designing the L2−L∞ filter for the stochastic time-delay system.
Related Topics
Physical Sciences and Engineering Computer Science Signal Processing
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