title: Non-fragile H∞ filtering for nonlinear discrete-time delay systems with randomly occurring gain variations.
abstract: In this paper,the problem of H∞ filtering for a class of nonlinear discrete-time delay systems is investigated. The time delay is assumed to be belonging to a given interval, and the designed filter includes additive gain variations which are supposed to be random and satisfy the Bernoulli distribution. By the augmented Lyapunov functional approach, a sufficient condition is developed to ensure that the filtering error system is asymptotically mean-square stable with a prescribed H∞ performance. In addition, an improved result of H∞ filtering for linear system is also derived. The filter parameters are obtained by solving a set of linear matrix inequalities. For nonlinear systems, the applicability of the developed filtering result is confirmed by a longitudinal flight system, and an additional example for linear system is presented to demonstrate the less conservativeness of the proposed design method.
authors.affiliation: Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan 38541, Republic of Korea; Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Academia Sinica, Beijing 100190, PR China.
authors.forename: Yajuan
authors.initials: Y
authors.lastname: Liu
authors.affiliation: Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan 38541, Republic of Korea. Electronic address: jessie@ynu.ac.kr.
authors.forename: Ju H
authors.initials: JH
authors.lastname: Park
authors.affiliation: Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Academia Sinica, Beijing 100190, PR China; School of Computational and Applied Mathematics, University of the Witwatersrand, Wits 2050, Johannesburg, South Africa.
authors.forename: Bao-Zhu
authors.initials: BZ
authors.lastname: Guo
keywords: Interval time-delay; Non-fragile filter; Nonlinear discrete-time systems; Randomly occurring gain variations