Title :
Improved robust H∞ filtering for polytopic delta operator systems
Author :
Zhang, Ying ; Zhang, Rui ; Li, Baopu ; Liao, Jingsheng
Author_Institution :
Shenzhen Grad. Sch., Harbin Inst. of Technol., Shenzhen, China
Abstract :
The problem of robust H∞ filtering for polytopic Delta operator systems is investigated. The main purpose is to obtain a stable and proper linear filter such that the filtering error system remains robustly stable with a prescribed H∞ attenuation level. Based on the bounded real lemma, a more efficient evaluation of robust H∞ performance can be obtained by a matrix inequality condition which contains additional free parameters. When applying this new matrix inequality condition to be the robust filter design, these parameters provide extra degrees of freedom in optimizing the guaranteed H∞ performance and lead to a less-conservative design. A numerical example is included to illustrate the effectiveness of the proposed approach.
Keywords :
H∞ filters; H∞ control; linear matrix inequalities; robust control; H∞ attenuation level; bounded real lemma; filtering error system; linear filter; linear matrix inequality condition; polytopic delta operator system; robust H∞ filtering; robust H∞ performance; robust filter design; robust stability; Educational institutions; Linear matrix inequalities; Lyapunov methods; Robustness; Uncertain systems; Uncertainty; Vectors; H∞ performance; Linear matrix inequality; Polytopic uncertainty; Robust filtering;
Conference_Titel :
Intelligent Control and Automation (WCICA), 2012 10th World Congress on
Conference_Location :
Beijing
Print_ISBN :
978-1-4673-1397-1
DOI :
10.1109/WCICA.2012.6358206