NDLI: H∞ LPV filtering for discrete-time linear systems subject to additive and multiplicative uncertainties in the measurement

Content Provider	IEEE Xplore Digital Library
Author	Lacerda, M.J. Tognetti, E.S. Oliveira, R.C.L.F. Peres, P.L.D.
Copyright Year	2013
Description	Author affiliation: Electr. Eng. Dept., Univ. of Brasilia, Brasilia, Brazil (Tognetti, E.S.) \|\| Sch. of Electr. & Comput. Eng., Univ. of Campinas-UNICAMP, Campinas, Brazil (Lacerda, M.J.; Oliveira, R.C.L.F.; Peres, P.L.D.)
Abstract	This paper is concerned with the problem of $H_{∞}$ linear parameter-varying (LPV) filter design for discrete-time linear systems where the measurement of the scheduling parameters may be affected by additive and multiplicative uncertainties. By conveniently modeling the uncertainties and the time-varying parameters, new robust linear matrix inequality (LMI) conditions for the existence of a full order LPV filter assuring a prescribed $H_{∞}$ performance, irrespective of the uncertainties affecting the measures, are given. The design procedure can simultaneously handle time-invariant uncertainties and arbitrary time-varying parameters as well. The problem is solved through LMI relaxations based on homogeneous polynomial matrices of arbitrary degree. A numerical experiment illustrates the performance of the proposed LPV filter when compared to other filters obtained with methods from the literature.
Starting Page	1823
Ending Page	1828
File Size	157428
Page Count	6
File Format	PDF
ISBN	9783033039629
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-07-17
Publisher Place	Switzerland
Access Restriction	Subscribed
Rights Holder	EUCA
Subject Keyword	Uncertainty Additives Symmetric matrices Measurement uncertainty Polynomials Linear matrix inequalities Time-varying systems
Content Type	Text
Resource Type	Article

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