- 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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