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.

1.
Planeaux
,
J. B.
,
Barth
,
T. J.
, and
Eglin
,
A. F. B.
, 1998, “
High-Angle-of-Attack Dynamic Behavior of a Model High-Performance Fighter Aircraft
,”
AIAA Atmospheric Flight Mechanics Conference I
,
Minneapolis, MN
, Aug. 15–17, Paper No. AIAA-88-4368.
2.
Jahnke
,
C. C.
, and
Culliak
,
F. E. C.
, 1994, “
Application of Bifurcation Theory to the High-Angle-of-Attack Dynamics of the F-14
,”
J. Aircr.
0021-8669,
31
, pp.
26
34
.
3.
Goman
,
M. G.
, and
Khramtsovskyt
,
A. V.
, 1997, “
Global Stability Analysis of Nonlinear Aircraft Dynamics
,” Report No. AIAA-97-3721, pp.
662
672
.
4.
Sibilski
,
S. K.
, and
Roman
,
R.
, 2006, “
The Continuation Design Framework for Nonlinear Aircraft Control
,”
44th AIAA Aerospace Sciences Meeting and Exhibit
, Jan. 9–12
Reno, NV
, Paper No. AIAA 2006-426.
5.
Garrard
,
W. L.
, and
Jordan
,
J. M.
, 1977, “
Design of Nonlinear Automatic Flight Control Systems
,”
Automatica
0005-1098,
13
(
5
), pp.
497
505
.
6.
Liaw
,
D.-C.
, and
Song
,
C.-C.
, 2001, “
Analysis of Longitudinal Flight Dynamics: A Bifurcation-Theoretic Approach
,”
J. Guid. Control Dyn.
0731-5090,
24
(
1
), pp.
109
116
.
7.
Liaw
,
D.-C.
, 2003, “
Two-Parameter Bifurcation Analysis of Longitudinal Flight Dynamics
,”
IEEE Trans. Aerosp. Electron. Syst.
0018-9251,
39
(
3
), pp.
1103
1110
.
8.
Rafikov
,
M.
, and
Balthazar
,
J. M.
, 2005, “
Optimal Linear and Nonlinear Control Design for Chaotic Systems
,”
Proceedings of IDETC’05, 2005 ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference Long Beach
,
CA
, Sept. 24–28, Paper No. DETC2005-84998.
9.
Rafikov
,
M.
, and
Balthazar
,
J. M.
, 2007, “
On Control and Synchronization in Chaotic and Hyperchaotic Systems via Linear Feedback Control
,”
Commun. Nonlinear Sci. Numer. Simul.
1007-5704, in press.
10.
Dhooge
,
A.
,
Govaerts
,
W.
, and
Kuznetsov
,
Y. A.
, 2003, “
Matcont: A Matlab Package for Numerical Bifurcation Analysis of Odes
,”
ACM Trans. Math. Softw.
0098-3500,
29
(
2
), pp.
141
164
.
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