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Author Orlov, Y. ♦ Bentsman, J.
Source IEEE Xplore Digital Library
Content type Text
Publisher Institute of Electrical and Electronics Engineers, Inc. (IEEE)
File Format PDF
Copyright Year ©1998
Language English
Subject Domain (in DDC) Technology ♦ Engineering & allied operations ♦ Other branches of engineering
Subject Keyword Adaptive systems ♦ Distributed parameter systems ♦ Parameter estimation ♦ Convergence ♦ Adaptive control ♦ Measurement errors ♦ Industrial engineering ♦ Partial differential equations ♦ Signal processing ♦ Signal generators
Abstract Presents synthesis of adaptive identifiers for distributed parameter systems (DPS) described by partial differential equations (PDEs) of parabolic and hyperbolic type. The features of the PDE setting are utilized to obtain the not directly intuitive parameter estimation algorithms that use spatial derivatives of the output data with the order reduced from that of the highest spatial plant derivative. The plant parameter estimates are computed in terms of their orthogonal expansion through the integration of the adjustable identifier parameters. In this regard, the approach of the paper is in the spirit of finite dimensional observer realization in terms of integrating rather than differentiating the output data, only applied to the spatial rather than temporal domain. The constructively enforceable identifiability conditions, formulated in terms of the sufficiently rich input signals referred to as generators of persistent excitation, are shown to guarantee the existence of a unique zero steady state for the parameter errors. Under such inputs, the adjustable parameters in the adaptive identifiers proposed are shown to converge in L/sub 2/ to their nominal space-varying values guaranteeing the pointwise convergence of their orthogonal expansions, which represent plant parameter estimates, to the actual plant parameters.
Description Author affiliation: Dept. of Electron. & Telecommun., CICESE, Ensenada, Mexico (Orlov, Y.)
ISBN 0780343948
ISSN 01912216
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research ♦ Reading
Education Level UG and PG
Learning Resource Type Article
Publisher Date 1998-12-18
Publisher Place USA
Rights Holder Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Size (in Bytes) 710.95 kB
Page Count 6
Starting Page 4016
Ending Page 4021

Source: IEEE Xplore Digital Library