Lp. Gibson et al., BIFURCATION-ANALYSIS OF EIGENSTRUCTURE ASSIGNMENT CONTROL IN A SIMPLENONLINEAR AIRCRAFT MODEL, Journal of guidance, control, and dynamics, 21(5), 1998, pp. 792-798
Aircraft systems are highly nonlinear and time varying. High-performan
ce aircraft at high angles of incidence experience undesired coupling
of the lateral and longitudinal variables, resulting in departure from
normal controlled flight. The construction of a robust closed-loop co
ntrol that extends the stable and decoupled flight envelope as far as
possible is pursued. For the study of these systems, nonlinear analysi
s methods are needed. Previously, bifurcation techniques have been use
d mainly to analyze open loop nonlinear aircraft models and to investi
gate control effects on dynamic behavior. Linear feedback control desi
gns constructed by eigenstructure assignment methods at a fixed flight
condition are investigated for a simple nonlinear aircraft model. Bif
urcation analysis, in conjunction with linear control design methods,
is shown to aid control law design for the nonlinear system.