NDLI: <formula formulatype=inline><tex Notation=TeX>${cal H}_{infty }$</tex></formula> Filter for Bilinear Systems Using LPV Approach

Content Provider	IEEE Xplore Digital Library
Author	Gerard, B. Souley Ali, H. Zasadzinski, M. Darouach, M.
Copyright Year	1963
Abstract	The aim of this technical note is to present a linear paramater varying (LPV) approach for the design of a functional filter for bilinear systems with a disturbance attenuation specification. The unbiasedness requirement on the observation error is guaranteed by the solution of Sylvester equations obtained by parametrizing the filter gain matrix. This parametrization leads to a non convex optimization problem which is overcome by introducing a constraint on the gain matrix. To take into account the whole set of the inputs in the filter design, an LPV approach is used to obtain the gain matrix guaranteeing the quadratic stability of the observation error and a given level of disturbance attenuation. This approach is then applied to the high gain observer design in order to consider the level of disturbance attenuation.
Sponsorship	IEEE Control Systems Society
Starting Page	1668
Ending Page	1674
Page Count	7
File Size	289744
File Format	PDF
ISSN	00189286
Volume Number	55
Issue Number	7
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-07-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Nonlinear filters Nonlinear systems Attenuation Discrete event systems Petri nets State-space methods Polynomials System testing Event detection Monitoring observability Bilinear systems functional filter high gain filter ${\cal H}_{\infty }$ performance linear parameter varying (LPV) approach
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Electrical and Electronic Engineering Computer Science Applications

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