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Singular Perturbation Margin assessment of linear slowly time-varying systems

Authors: Xiaojing Yang; J. Jim Zhu;

Singular Perturbation Margin assessment of linear slowly time-varying systems

Abstract

Singular Perturbation Margin (SPM) is a stability margin for Nonlinear (NL) systems established from the view of the singular perturbation (time-scale separation) parameter. This paper provides two SPM assessment methods: quantitative and qualitative methods for Linear Slowly Time-Varying (LSTV) systems. Quantitative method offers a more accurate estimated SPM than the qualitative method, while the latter is more insightful for the system analysis, and will be helpful for the SPM gauge design in the future. The effectiveness of the two methods is shown by a gain scheduling design example. The results in this paper could also be extended to nonlinear slowly time-varying systems by its linearization thereof.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
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