Gain-scheduled H∞ filtering of parameter-varying systems

✍ Scribed by Shaosheng Zhou; Baoyong Zhang; Wei Xing Zheng

• Book ID: 104590831
• Publisher: John Wiley and Sons
• Year: 2006
• Tongue: English
• Weight: 159 KB
• Volume: 16
• Category: Article
• ISSN: 1049-8923
• DOI: 10.1002/rnc.1062

✦ Synopsis

Abstract

This paper deals with the gain‐scheduled H~∞~ filtering problem for a class of parameter‐varying systems. A sufficient condition for the existence of a gain‐scheduled filter, which guarantees the asymptotic stability with an H~∞~ noise attenuation level bound for the filtering error system, is given in terms of a finite number of linear matrix inequalities (LMIs). The filter is designed to be parameter‐varying and have a nonlinear fractional transformation structure. A numerical example is presented to demonstrate the application of the proposed method. Copyright © 2006 John Wiley & Sons, Ltd.