H ∞ filtering for stochastic singular fuzzy systems with time-varying delay

Zhao, Feng and Zhang, Qingling and Yan, Xinggang and Cai, Min (2014) H ∞ filtering for stochastic singular fuzzy systems with time-varying delay. Nonlinear Dynamics, 79 (1). pp. 215-228. ISSN 0924-090X. (doi:https://doi.org/10.1007/s11071-014-1658-9) (Full text available)

Abstract

This paper considers the H∞ filtering problem for stochastic singular fuzzy systems with timevarying delay. We assume that the state and measurement are corrupted by stochastic uncertain exogenous disturbance and that the system dynamic is modeled by Ito-type stochastic differential equations. Based on an auxiliary vector and an integral inequality, a set of delay-dependent sufficient conditions is established, which ensures that the filtering error system is eλt - weighted integral input-to-state stable in mean (iISSiM). A fuzzy filter is designed such that the filtering error system is impulse-free, eλt -weighted iISSiM and the H∞ attenuation level from disturbance to estimation error is belowa prescribed scalar.Aset of sufficient conditions for the solvability of the H∞ filtering problem is obtained in terms of a new type of Lyapunov function and a set of linear matrix inequalities. Simulation examples are provided to illustrate the effectiveness of the proposed filtering approach developed in this paper.

Item Type:	Article
Subjects:	T Technology
Divisions:	Faculties > Sciences > School of Engineering and Digital Arts Faculties > Sciences > School of Engineering and Digital Arts > Instrumentation, Control and Embedded Systems
Depositing User:	Tina Thompson
Date Deposited:	23 Sep 2015 11:50 UTC
Last Modified:	18 Jan 2017 05:43 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/50592 (The current URI for this page, for reference purposes)