Title :
Non-fragile H∞ Filter Design with Additive Gain Variations
Author :
Yang, Guang-hong ; Che, Wei-Wei
Author_Institution :
Coll. of Inf. Sci. & Eng., Northeastern Univ., Shenyang
Abstract :
This paper studies the problem of non-fragile H∞ filter design for linear continuous-time systems. The filter to be designed is assumed to be with additive gain variations, which are due to the finite word length (FWL) effects when the filter is implemented. A notion of structured vertex separator is proposed to approach the problem, and exploited to develop sufficient conditions for the non-fragile filter design in terms of solutions to a set of linear matrix inequalities (LMIs). The designs guarantee the asymptotic stability of the estimation errors, and the H∞ performance of the system from the exogenous signals to the estimation errors less than a prescribed level. A numerical example is given to illustrate the effect of the proposed method
Keywords :
H∞ control; asymptotic stability; continuous time systems; control system synthesis; filtering theory; linear matrix inequalities; linear systems; H∞ filter design; additive gain variations; asymptotic stability; estimation errors; exogenous signals; finite word length effects; linear continuous-time systems; linear matrix inequality; nonfragile filter design; structured vertex separator; sufficient conditions; Control systems; Estimation error; Filtering; Linear matrix inequalities; Nonlinear filters; Particle separators; Riccati equations; Signal design; Sufficient conditions; Uncertainty; H∞ filtering; Linear Systems; additive gain variations; fragility; linear matrix inequalities (LMIs);
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.377460
