Non-fragile H ∞ filter design for linear continuous-time systems
This paper studies the problem of non-fragile H ∞ filter design for linear continuous-time systems. The filter to be designed is assumed to include additive gain variations, which result from filter implementations. A notion of structured vertex separator is proposed to approach the problem, and exp...
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Published in | Automatica (Oxford) Vol. 44; no. 11; pp. 2849 - 2856 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
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Elsevier Ltd
01.11.2008
Elsevier |
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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 include additive gain variations, which result from filter implementations. A notion of structured vertex separator is proposed to approach the problem, and exploited to develop sufficient conditions for the non-fragile
H
∞
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 below a prescribed level. A numerical example is given to illustrate the effect of the proposed method. |
---|---|
AbstractList | This paper studies the problem of non-fragile
H
∞
filter design for linear continuous-time systems. The filter to be designed is assumed to include additive gain variations, which result from filter implementations. A notion of structured vertex separator is proposed to approach the problem, and exploited to develop sufficient conditions for the non-fragile
H
∞
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 below a prescribed level. A numerical example is given to illustrate the effect of the proposed method. |
Author | Yang, Guang-Hong Che, Wei-Wei |
Author_xml | – sequence: 1 givenname: Guang-Hong surname: Yang fullname: Yang, Guang-Hong email: yangguanghong@ise.neu.edu.cn, yang_guanghong@163.com – sequence: 2 givenname: Wei-Wei surname: Che fullname: Che, Wei-Wei email: cwwemail1980@126.com, cwwemail1980@gmail.com |
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Keywords | Linear systems Additive gain variations LMIs H ∞ filtering Fragility Estimation error Error estimation H∞ filtering Signal estimation H infinite control Continuous time Linear time Asymptotic stability Linear filter Linear matrix inequality |
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H
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filter design for linear continuous-time systems. The filter to be designed is assumed to include additive... |
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SubjectTerms | [formula omitted] filtering Additive gain variations Applied sciences Computer science; control theory; systems Control system analysis Control theory. Systems Exact sciences and technology Fragility Linear systems LMIs Modelling and identification |
Title | Non-fragile H ∞ filter design for linear continuous-time systems |
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