Numerical sensitivity of linear matrix inequalities using shift and delta operators

Title: Numerical sensitivity of linear matrix inequalities using shift and delta operators
Creator: Lennartson, Bengt; Middleton, Richard H.; Gustafsson, Ivar
Relation: IEEE Transactions on Automatic Control Vol. 57, Issue 11, p. 2874-2879
Publisher Link: http://dx.doi.org/10.1109/TAC.2012.2192361
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Resource Type: journal article
Date: 2012
Description: The numerical sensitivity of linear matrix inequalities (LMIs) arising from discrete-time control with short sampling periods is analyzed using shift and delta operators. The delta operator avoids cancellation problems for short sampling periods, and it includes a system scaling proportional to the inverse of the sampling period. The numerical sensitivity of both these mechanisms is investigated analytically, and verified by numerical examples. The conclusion is that the scaling procedure is (somewhat surprisingly) much more essential for shorter sampling periods than avoiding the cancellation problem.
Subject: delta operator; digital control; linear matrix inequalities; numerical sensitivity; shift operator
Identifier: http://hdl.handle.net/1959.13/1317738
Identifier: uon:23487
Identifier: ISSN:0018-9286
Language: eng
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