H-infinity filtering for discrete-time switched systems with known sojourn probabilities

Tian, Engang, Wong, W K, Yue, Dong and Yang, Tai-Cheng (2015) H-infinity filtering for discrete-time switched systems with known sojourn probabilities. IEEE Transactions on Automatic Control, 60 (9). pp. 2446-2451. ISSN 0018-9286

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Abstract

This paper deals with the design of mode-dependent H-infinity filters for a class of discrete-time switched systems with nonlinearities. In this class of systems, when the system mode changes, the filter designed for the specific subsystem also switches accordingly. The main contribution is on the use of the information of the sojourn probability - the probability of the switched system staying in each subsystem - to build new kind of switched system model when this additional information is available. Sojourn probabilities are easier to obtain than the transition probabilities commonly used in Markovian jump systems. Applying the Lyapunov functional method, the bounded real lemma (BRL) for the resulting filtering error system is obtained in Theorem 1. The filter parameters are designed in Theorem 2 by solving a set of linear matrix inequalities. Finally, two illustrative examples are given to demonstrate the effectiveness and potential of the proposed approach.

Item Type: Article
Additional Information: © 2015 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Schools and Departments: School of Engineering and Informatics > Engineering and Design
Subjects: T Technology
Depositing User: Tai Yang
Date Deposited: 29 Jan 2018 09:56
Last Modified: 29 Jan 2018 09:56
URI: http://sro.sussex.ac.uk/id/eprint/73173

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