Brief paper: Separator-type robust stability theorem of sampled-data systems allowing noncausal LPTV scaling

Authors:
Tomomichi Hagiwara
Affiliations:
Department of Electrical Engineering, Kyoto University, Kyotodaigaku-Katsura, Nishikyo-ku, Kyoto 615-8510, Japan
Venue:
Automatica (Journal of IFAC)
Year:
2009

Citing 4
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Brief paper: Noncausal linear periodically time-varying scaling for robust stability analysis of discrete-time systems: Frequency-dependent scaling induced by static separators

Automatica (Journal of IFAC)

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Abstract

This paper derives a necessary and sufficient condition for robust stability of sampled-data systems, which is stated by using the notion of separators that are dealt with in an operator-theoretic framework. Such operator-theoretic treatment of separators provides a new perspective, which we call noncausal linear periodically time varying scaling and leads to reducing conservativeness in robust stability analysis. A numerical example is given to demonstrate the results.