NDLI: Weighted H/sup infinity / optimization for stable infinite dimensional systems using finite dimensional techniques

Content Provider	IEEE Xplore Digital Library
Author	Rodriguez, A.A. Dahleh, M.A.
Copyright Year	1990
Description	Author affiliation: Dept. of Electr. Eng., Arizona State Univ., Tempe, AZ, USA (Rodriguez, A.A.)
Abstract	An approximate/design approach is taken to the problem of designing near-optimal finite-dimensional compensators for scalar infinite dimensional plants. The criteria used to determine optimality are standard H/sup infinity / weighted sensitivity and mixed-sensitivity measures. More specifically, it is shown that, given a 'suitable' finite-dimensional approximant for an infinite-dimensional plant, one can solve a 'natural' finite-dimensional problem to obtain a near-optimal finite-dimensional compensator. Moreover, very weak conditions are presented to indicate what a 'suitable' approximant is. In addition, it is shown that the optimal performance can be computed by solving a sequence of finite-dimensional eigenvalue/eigenvector problems rather than the typical infinite-dimensional eigenvalue/eigenfunction problem which appears in the literature.<>
Starting Page	1814
Ending Page	1820
File Size	688847
Page Count	7
File Format	PDF
DOI	10.1109/CDC.1990.203932
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1990-12-05
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	H infinity control Eigenvalues and eigenfunctions Measurement standards Intelligent control Art Topology Image analysis
Content Type	Text
Resource Type	Article

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