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THE NYQUIST ROBUST STABILITY MARGIN—A NEW METRIC FOR THE STABILITY OF UNCERTAIN SYSTEMS

✍ Scribed by Haniph A. Latchman; Oscar D. Crisalle; V. R. Basker

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
345 KB
Volume
7
Category
Article
ISSN
1049-8923

No coin nor oath required. For personal study only.

✦ Synopsis

The Nyquist robust stability margin k , is proposed as a new tool for analysing the robustness of uncertain systems. The analysis is done using Nyquist arguments involving eigenvalues instead of singular values, and yields exact necessary and sufficient conditions for robust stability. The concept of a critical line on the Nyquist plane is defined and used to calculate a critical perturbation radius which in turn is used to produce k ,

. The new approach gives alternatives to computing exact stability margins in some cases of highly directional uncertainty templates where other models are not applicable.

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