Robust H_∞ filtering for neutral jump system with time-delays and uncertainties

HE Shu-ping, Liu Fei

Institute of Automation, Jiangnan University, Wuxi 214122, China



Abstract:

The problem of robust H∞ filtering for a class of neutral jump systems with time-delay and norm-bounded uncertainties is considered. By re-constructing the system, the dynamics of overall augmented error systems is obtained which involves unknown inputs represented by disturbances, model uncertainties and time-delays. As to the nominal system, sufficient conditions are provided for the existence of the mode-dependent H∞ filter by selecting the appropriate Lyapunov-Krasovskii function and the robust H∞ filter is proposed for the jump system while considering the time-delays and uncertainties. Both of above conditions for the existence of the H∞ filter and roust H∞ filter are presented in terms of linear matrix inequalities, and convex optimization problems are formulated to design the desired filters. By employing the proposed mode-dependent H∞ filter, the systems have the stochastic stability and better ability of restraining disturbances stochastically, and the given prescribed H∞ performance is guaranteed. Simulation results illustrate the effectiveness of developed techniques.

Key words:  neutral jump systems  robust H∞ filtering  time-delays  uncertainties  linear matrix inequality

DOI：10.11916/j.issn.1005-9113.2009.01.009

Clc Number:TN713

Fund: