NDLI: Central suboptimal $H_{∞}$ filter design for linear time-varying systems with state and measurement delays

Content Provider	IEEE Xplore Digital Library
Author	Basin, M. Peng Shi Calderon-Alvarez, D.
Copyright Year	2008
Description	Author affiliation: Dept. of Phys. & Math. Sci., Autonomous Univ. of Nuevo Leon, San Nicolas de los Garza, Mexico (Basin, M.) \|\| Dept. of Comput. & Math. Sci., Univ. of Glamorgan, Pontypridd, UK (Peng Shi; Calderon-Alvarez, D.)
Abstract	This paper presents the central finite-dimensional $H_{∞}$ filters for linear systems with state and measurement delays, that are suboptimal for a given threshold g with respect to a modified Bolza-Meyer quadratic criterion including the attenuation control term with the opposite sign. The paper first presents the central suboptimal $H_{∞}$ filter for linear systems with state and measurement delays, which consists, in the general case, of an infinite set of differential equations. Then, the finite-dimensional central suboptimal $H_{∞}$ filter is designed in case of linear systems with commensurable state and measurement delays, which contains a finite number of equations for any fixed filtering horizon; however, this number still grows unboundedly as time goes to infinity. To overcome that difficulty, the alternative central suboptimal $H_{∞}$ filter is designed for linear systems with state and measurement delays, which is based on the alternative optimal $H_{2}$ filter from [39]. Numerical simulations are conducted to verify performance of the designed central suboptimal filters for linear systems with state and measurement delays against the central suboptimal $H_{∞}$ filter available for linear systems without delays.
Starting Page	672
Ending Page	677
File Size	186009
Page Count	6
File Format	PDF
ISBN	9781424431236
ISSN	01912216
DOI	10.1109/CDC.2008.4738769
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-12-09
Publisher Place	Mexico
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Nonlinear filters Linear systems Attenuation measurement Centralized control Control systems Differential equations Time measurement Delay effects Filtering H infinity control
Content Type	Text
Resource Type	Article

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