Brief paper: Non-fragile H∞ filter design for linear continuous-time systems

Authors:
Guang-Hong Yang;Wei-Wei Che
Affiliations:
College of Information Science and Engineering, Northeastern University, Shenyang, 110004, PR China and Key Laboratory of Integrated Automation of Process Industry (Ministry of Education), Northea ...;College of Information Science and Engineering, Northeastern University, Shenyang, 110004, PR China and Key Laboratory of Integrated Automation of Process Industry (Ministry of Education), Northea ...
Venue:
Automatica (Journal of IFAC)
Year:
2008

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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.