%0 Electronic Article
%A X.-G. Guo
%A G.-H. Yang
%K filter coefficient variations
%K delta operator formulated systems
%K continuous time systems
%K discrete time systems
%K shift operator approach
%K linear matrix inequality
%K Finsler lemma
%K sensitivity function
%K additive-multiplicative coefficient variations
%K H∞ filter design
%K multiplicative objective optimisation problem
%X The problem of designing H∞ filters for delta operator formulated systems with low sensitivity to filter coefficient variations is investigated. The delta operator provides a theoretically unified formulation of continuous-time and discrete-time systems and also has the advantage of better numerical properties at high sampling rates. In addition to the standard H∞ criterion, the H∞ norm of the sensitivity function is introduced in order to improve the designed filter's insensitivity to the filter coefficient variations. Finsler's Lemma is used to derive novel sufficient conditions which are adapted to treat this multiplicative objective optimisation problem in a potentially less conservative framework. Linear matrix inequality conditions are obtained for the existence of admissible filters with respect to additive/multiplicative coefficient variations based on two different types of sensitivity measures. Finally, the effectiveness of the proposed method is illustrated by a numerical example. It is shown that the delta operator approach offers better coefficient sensitivity than the traditional shift operator approach when the sampling rate is high.
%@ 1751-8644
%T *H*_{∞} filter design for delta operator formulated systems with low sensitivity to filter coefficient variations
%B IET Control Theory & Applications
%D October 2011
%V 5
%N 15
%P 1677-1688
%I Institution of Engineering and Technology
%U https://digital-library.theiet.org/;jsessionid=1d7rkaoq54n36.x-iet-live-01content/journals/10.1049/iet-cta.2010.0500
%G EN