Limit-cycle stability study of a feedback control system by a new describing-function technique
- 1 July 1959
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in Transactions of the American Institute of Electrical Engineers, Part II: Applications and Industry
- Vol. 78 (3) , 129-134
- https://doi.org/10.1109/tai.1959.6371551
Abstract
A NEW describing-function technique is used in this paper to show the effects of several gain-controlling nonlinearities on the limit-cycle stability of an aircraft roll-stabilization system. The new method leads to a stability diagram which is divided not into the usual two regions of ¿stable¿ and ¿unstable¿ operation but rather into numerous regions each of which is associated with a particular type of limit-cycle oscillation or singular point. Such a diagram gives considerable insight into the mechanism of oscillations often observed in physical equipment. Very satisfactory agreement with analog computer studies is demonstrated for the new technique.Keywords
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