NDLI: Pointwise gap metrics on transfer matrices

Content Provider	IEEE Xplore Digital Library
Author	Qiu, L. Davison, E.J.
Copyright Year	1990
Description	Author affiliation: Dept. of Electr. Eng., Toronto Univ., Ont., Canada (Qiu, L.; Davison, E.J.)
Abstract	A new family of metrics, called pointwise gap metrics, in the space of real rational matrices of fixed size is developed. These metrics are then used to study open-loop and closed-loop stability robustness of lumped linear time-invariant finite-dimensional continuous-time systems. It is shown that pointwise gap metrics have the desired qualitative properties for the study of stability robustness. Necessary and sufficient conditions on the open- and closed-loop stability robustness are obtained in terms of the radii of the pointwise gap metric balls centered at the nominal plant and/or the nominal controller. The new metric is compared with the available metrics, e.g. the gap metric and the graph metric. All these metrics induce the same topology. It is shown that many of the quantitative properties of pointwise gap metrics are the same as those of the gap metric, although they differ in value. In the scalar case they have a very simple expression which is potentially useful for accessing the relationship between the uncertainty of physical parameters and the uncertainty measured by pointwise gap metrics.<>
Starting Page	2431
Ending Page	2436
File Size	729871
Page Count	6
File Format	PDF
DOI	10.1109/CDC.1990.204061
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1990-12-05
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Robust stability Open loop systems Uncertain systems Feedback loop Stability analysis Sufficient conditions Robust control Topology Measurement uncertainty Size measurement
Content Type	Text
Resource Type	Article

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