A design of robust H∞ reduced-order filter for uncertain singular systems with multiple time-varying state delays
WU Bao-wei, TONG Yun-xu, CHEN Min
(College of Mathematics and Information Science, Shaanxi Normal University, Xi′an 710062, Shaanxi, China)
Abstract:
The problem of designing robust H∞ reduced-order filter for singular systems with multiple time-varying state delays and uncertain is considered. The purpose is to design linear filters with a specified order lower than the given system assuring asymptotic stability and a prescribed H∞ performance level for the filtering error dynamic system, irrespective of the uncertainties and the time delays. Sufficient conditions for the solvability of this problem are 0≤ETY,rank X≤,Π1
KeyWords:
uncertain singular system; time delay; robust H∞ filter; reduced-order filter; linear matrix inequality