Numerical Sensitivity of Linear Matrix Inequalities Using Shift and Delta Operators
Artikel i vetenskaplig tidskrift, 2012
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.
shift operators
sampling periods
discrete-time control
system scaling
LMI
cancellation problems
delta operators
scaling procedure
linear matrix inequalities
numerical sensitivity
Författare
Bengt Lennartson
Chalmers, Signaler och system, System- och reglerteknik
R. Middleton
University of Newcastle
Ivar Gustafsson
Göteborgs universitet
Chalmers, Matematiska vetenskaper, Matematik
IEEE Transactions on Automatic Control
0018-9286 (ISSN) 1558-2523 (eISSN)
Vol. 57 11 2873-2879 6176205Styrkeområden
Produktion
Ämneskategorier
Beräkningsmatematik
Reglerteknik
DOI
10.1109/TAC.2012.2192361