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Limit-cycle stability study of a feedback control system by a new describing-function technique

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1 Author(s)
Harrington, H. J. ; Convair-Astronautics, A Division of General Dynamics Corporation, San Diego, Calif.; Solar Aircraft Company, San Diego, Calif.

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.

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American Institute of Electrical Engineers, Part II: Applications and Industry, Transactions of the  (Volume:78 ,  Issue: 3 )