NDLI: Weighted induced L/sup 2/ mixed sensitivity optimization for multi-rate distributed parameter systems

Content Provider	IEEE Xplore Digital Library
Author	Metzger Jr., R.P. Carter, D.R. Rodriguez, A.A.
Copyright Year	2002
Description	Author affiliation: Dept. of Electr. Eng., Arizona State Univ., Tempe, AZ, USA (Metzger, R.P., Jr.; Carter, D.R.; Rodriguez, A.A.)
Abstract	This paper considers the problem of designing near-optimal finite-dimensional controllers for stable multiple-input multiple-output (MIMO) distributed parameter plants under multi-rate sampled-data control. A weighted H/sup /spl infin//-style mixed-sensitivity measure which penalizes the control is used to define the notion of optimality. Controllers are generated by solving a "natural" finite-dimensional sampled-data optimization. A priori computable conditions are given on the approximants such that the resulting finite-dimensional controllers stabilize the multi-rate sampled-data controlled distributed parameter plant and are near-optimal. The proof relies on the fact that the control input is appropriately penalized in the optimization. The technique presented also assumes and exploits the fact that the plant can be approximated uniformly by finite-dimensional systems. Moreover, it is shown how the optimal performance may be estimated to any desired degree of accuracy by solving a single finite-dimensional problem using a suitable finite-dimensional approximant. The constructions given are simple. Finally, it should be noted that no infinite-dimensional spectral factorizations are required. In short, the paper provides a straight forward control design approach for a large class of MIMO distributed parameter systems under multi-rate sampled-data control.
Sponsorship	IEEE Control Syst. Soc
Starting Page	2322
Ending Page	2327
File Size	418529
Page Count	6
File Format	PDF
ISBN	0780375165
ISSN	01912216
DOI	10.1109/CDC.2002.1184879
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2002-12-10
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Distributed parameter systems MIMO Control system synthesis Optimal control Distributed control Control systems Distributed computing Control design Partial differential equations Delay
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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