A Frequency Domain Robust Stability Theorem for Infinite Dimensional Systems with Parametric Uncertainty

A Frequency Domain Robust Stability Theorem for Infinite Dimensional Systems with Parametric Uncertainty

A robust stability theorem of non-Kharitonov type for parametric uncertainty is formulated and proved: A closed loop system depending on a connected set of parameters whose maximum frequency response is bounded is either stable for all the parameters or for none. Realistic illustrative examples are...

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Veröffentlicht in:SIAM journal on control and optimization 2000-01, Vol.39 (5), p.1423-1440
Hauptverfasser: Brosilow, Coleman, Leitman, Marshall J.
Format: Artikel
Sprache:eng
Schlagworte:
Hypotheses
Laplace transforms
Mathematical functions
Process controls
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Beschreibung
Zusammenfassung:A robust stability theorem of non-Kharitonov type for parametric uncertainty is formulated and proved: A closed loop system depending on a connected set of parameters whose maximum frequency response is bounded is either stable for all the parameters or for none. Realistic illustrative examples are provided.
ISSN:0363-0129
1095-7138
DOI:10.1137/S0363012999357550