Robust H∞ deconvolution filtering for uncertain singular Markovian jump systems with time‐varying delays |
| |
| Authors: | Guangming Zhuang Shengyuan Xu Baoyong Zhang Huiling Xu Yuming Chu |
| |
| Affiliation: | 1. School of Automation, Nanjing University of Science Technology, Nanjing, China;2. School of Mathematical Sciences, Liaocheng University, Liaocheng, China;3. Department of Applied Mathematics, Nanjing University of Science Technology, Nanjing, China;4. School of Science, Huzhou Teachers College, Huzhou, China |
| |
| Abstract: | The problem of H∞ deconvolution filter design for a class of singular Markovian jump systems with time‐varying delays and parameter uncertainties is considered in this paper. By constructing a more comprehensive stochastic Lyapunov‐Krasovskii functional, novel delay‐dependent conditions are established to guarantee the filtering error system is not only stochastically admissible, but also satisfies a prescribed H∞‐norm level for all admissible uncertainties. The desired filter parameters can be obtained by solving a set of strict linear matrix inequalities. Two examples and an electrical RLC circuit example are employed to verify the effectiveness and usefulness of the proposed methods in the paper. Copyright © 2015 John Wiley & Sons, Ltd. |
| |
| Keywords: | deconvolution filtering singular Markovian jump system time‐varying delay parameter uncertainties stochastically admissible |
|
|
