In this work, we analyzed a bifurcational behavior of a longitudinal flight nonlinear dynamics, taking as an example the F-8 aircraft “Crusader.” We deal with an analysis of high angles of attack in order to stabilize the oscillations; those were close to the critical angle of the aircraft, in the flight conditions, established. We proposed a linear optimal control design applied to the considered nonlinear aircraft model below angle of stall, taking into account regions of Hopf and saddled noddle bifurcations.
On Nonlinear Dynamics and an Optimal Control Design to a Longitudinal Flight
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Pereira, D. C., Balthazar, J. M., Chavarette, F. R., and Rafikov, M. (December 12, 2007). "On Nonlinear Dynamics and an Optimal Control Design to a Longitudinal Flight." ASME. J. Comput. Nonlinear Dynam. January 2008; 3(1): 011012. https://doi.org/10.1115/1.2802111
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