DocumentCode :
2259624
Title :
Robust stability analysis of sampled-data systems via periodically time-varying scaling
Author :
Hagiwara, Tomomichi ; Mori, Ryouta
Author_Institution :
Dept. of Electr. Eng., Kyoto Univ.
fYear :
2006
fDate :
14-16 June 2006
Abstract :
Stimulated by a general necessary and sufficient condition for robust stability of sampled-data systems derived through the Nyquist stability criterion in an operator-theoretic framework, we introduce linear periodically time-varying (LPTV) scaling to sampled-data systems in this paper. We first give a simple example demonstrating that this new scaling can lead to exact robust stability analysis. We then study some basic properties of LPTV scaling, and show that the effectiveness of such scaling is unique to sampled-data systems (and LPTV systems) in the sense that it offers no advantage over the conventional linear time-invariant (LTI) scaling when the feedback loop consists of only LTI systems. It turns out, however, that LPTV scaling is generally more effective than the conventional LTI scaling regarding robust stability analysis when there is at least one norm-bounded static uncertainty block
Keywords :
feedback; linear systems; periodic control; robust control; sampled data systems; time-varying systems; feedback loop; linear periodically time-varying scaling; necessary condition; robust stability analysis; sampled-data systems; stability criterion; sufficient condition; Control systems; Digital control; Feedback loop; Particle separators; Robust stability; Stability criteria; Sufficient conditions; Terminology; Time varying systems; Uncertainty;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
American Control Conference, 2006
Conference_Location :
Minneapolis, MN
Print_ISBN :
1-4244-0209-3
Electronic_ISBN :
1-4244-0209-3
Type :
conf
DOI :
10.1109/ACC.2006.1655357
Filename :
1655357
Link To Document :
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