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Jump resonant frequency islands in nonlinear feedback control systemsA new type of jump resonance is predicted and observed in certain nonlinear feedback control systems. The new jump resonance characteristic is described as a 'frequency island' due to the fact that a portion of the input-output transfer characteristic is disjoint from the main body. The presence of such frequency islands was predicted by using a sinusoidal describing function characterization of the dynamics of an inertial gyro employing nonlinear ternary rebalance logic. While the general conditions under which such islands are possible has not been examined, a numerical approach is presented which can aid in establishing their presence. The existence of the frequency islands predicted for the ternary rebalanced gyro was confirmed by simulating the nonlinear system and measuring the transfer function.
Document ID
19750043843
Document Type
Reprint (Version printed in journal)
Authors
Koenigsberg, W. D. (Charles Stark Draper Laboratory, Inc. Cambridge, Mass., United States)
Dunn, J. C. (U.S. Army, Electronics Command, Fort Monmouth N.J., United States)
Date Acquired
August 8, 2013
Publication Date
April 1, 1975
Publication Information
Publication: IEEE Transactions on Automatic Control
Volume: AC-20
Subject Category
CYBERNETICS
Funding Number(s)
CONTRACT_GRANT: NAS12-508
Distribution Limits
Public
Copyright
Other