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Quasi-linear analysis of oscillating servo-systems with random inputs

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1 Author(s)
Yen Lim ; Bell Telephone Labs, Inc., Whippany, NJ, USA

This paper presents an approximate analysis of oscillating servo systems with random inputs. The power spectrum relations for these systems are established by extending the dual-input describing function method. The analysis shows that the system exhibits a quasi-linear mode of operation similar to that previously shown to exist for a sinusoidal input. Distortion components resulting from the closed loop system are examined, and conditions for quasi-linear operation (small distortion) are given in terms of signal level and bandwidth. Some analog computer results are presented to demonstrate the applicability of the quasi-linear theory to the random input case.

Published in:

Automatic Control, IEEE Transactions on  (Volume:10 ,  Issue: 2 )