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Geometric criterion for the absence of limit cycles in nonlinear control systems

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2 Author(s)
Rootenberg, Jacob ; Columbia University, New York, USA ; Walk, Ralph

In most autonomous systems, the generation of periodic modes is considered to be an instability. Considering feedback systems composed of a time-invariant linear operator in cascade with an odd memoryless nonlinearity, a method is derived which provides a geometric interpretation of frequency regions in the Nyquist plane, over which simple oscillations cannot occur. This criterion answers a question of system behaviour when the Popov criterion is violated.

Published in:

Electronics Letters  (Volume:8 ,  Issue: 20 )