Numerical sensitivity of Linear Matrix Inequalities for shorter sampling periods
Paper in proceeding, 2012

The numerical sensitivity of Linear Matrix Inequalities (LMIs) arising in the H∞ norm computation in discrete time is analyzed. Rapid sampling scenarios are examined comparing both shift and delta operator formulations of the equations. The shift operator formulation is shown in general to be arbitrarily poorly conditioned as the sampling rate increases. The delta operator formulation includes both recentering (to avoid cancellation problems) and rescaling, and avoids these difficulties. However, it is also shown that rescaling of the shift operator formulation gives substantial improvements in numerical conditioning, whilst recentering is of more limited benefit.

Author

Bengt Lennartson

Chalmers, Signals and Systems, Systems and control

R. Middleton

University of Newcastle

Proceedings of the IEEE Conference on Decision and Control

07431546 (ISSN) 25762370 (eISSN)

Article number 6425801 4247-4252 6425801
978-1-4673-2064-1 (ISBN)

Subject Categories

Mathematics

Electrical Engineering, Electronic Engineering, Information Engineering

DOI

10.1109/CDC.2012.6425801

ISBN

978-1-4673-2064-1

More information

Created

10/7/2017