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Sustained small oscillations in nonlinear control systems (1975)

Gunderson, R. W. ; Hahn, H. ; George, J. H.

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Publication Date: 2019-06-27

Description: Some results of bifurcation theory were used to study the existence of small-amplitude periodic behavior in launch vehicle dynamics, assuming that nonlinearity exists as a cubic term in the rudder response. The analysis follows closely Sattinger's (1973) approach to the theory of periodic bifurcations. The conditions under which a bifurcating branch of orbitally stable periodic solutions will exist are determined. It is shown that in more complicated cases, the conditions under which the system matrix has a pair of simple purely imaginary eigenvalues can be determined with the aid of linear stability techniques.

Keywords: CYBERNETICS

Type: AIAA Journal; 13; Sept

Format: text

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