Sampled-Data H^ Optimization of Systems With I/O Delays via Analog Loop Shifting

The problem of sampled-data H 2 control of systems with a single input delay is studied. Conventional solutions of sampled-data optimal control problems begin with a conversion to a discrete-time problem with input delays, followed by a matching optimization method, geared to handle delays. We propo...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 59; no. 3; pp. 787 - 791
Main Authors Mirkin, Leonid, Shima, Tal, Tadmor, Gilead
Format Journal Article
LanguageEnglish
Published IEEE 01.03.2014
Subjects
Control systems
Delays
Finite impulse response filters
H^{2} optimization
input-delay systems
Linear systems
Optimization
sampled-data systems
Transfer functions
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Summary:The problem of sampled-data H 2 control of systems with a single input delay is studied. Conventional solutions of sampled-data optimal control problems begin with a conversion to a discrete-time problem with input delays, followed by a matching optimization method, geared to handle delays. We propose reversing that order and address the delay first, by an analog loop transformation. Hence, discretization and optimization involve no delays and are amenable to any standard method. The proposed, streamlined, approach fits also previously unsolved problems where sampling and/or hold functions are design parameters.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2013.2276046