Title :
A new H∞ filter design for linear time delay systems
Author :
Fridman, E. ; Shaked, Uri
Author_Institution :
Dept. of Electr. Eng., Tel Aviv Univ., Israel
fDate :
11/1/2001 12:00:00 AM
Abstract :
A new delay-dependent H∞ filtering design is proposed for linear, continuous, time-invariant systems with time delay. The obtained filter is of the Luenberger observer type. The design guarantees that the H∞-norm of the system, relating the exogenous signals to the estimation error, is less than a prescribed level. The filter is based on the application of a newly derived version of the bounded real lemma for time-delayed systems. This novel approach is compared, via an example, with another solution that appears in the literature
Keywords :
H∞ optimisation; continuous time systems; delays; filtering theory; linear systems; matrix algebra; observers; H∞ filter design; Luenberger observer; bounded real lemma; continuous time-invariant systems; estimation error; linear matrix inequalities; linear time delay systems; Absorption; Cost function; Delay effects; Equations; Filtering; Nonlinear filters; Signal design; Transfer functions; Vectors;
Journal_Title :
Signal Processing, IEEE Transactions on
