The global and continuous flight control law was designed via the bifurcation tailoring and eigenstructure assignment methods. Based on the equilibrium branches of aircraft flight dynamics, the feedforward control law was designed by utilizing the continuous method, by which the shape of the equilibrium branches was modified to make the output variables trace the input commands. The uncoupled gain-scheduled feedback control law was designed via the eigenstructure assignment technique to meet the requirement of flying qualities, and the equilibrium branches of the uncommand motion were tailored. Control bifurcation was analyzed for the feedforward open-loop control system and the feedback closed-loop control system. The control law design and computer simulation for a static unstable aircraft were presented to demonstrate that the unexpected bifurcation behaviors were restrained and the stable flight envelope was extended.
Goman M G, Zagainov G I, Khramtsovsky A V. Application of bifurcation methods to nonlinear flight dynamics problems[J].Progress of Aerospace Science.1997,33(9):539-586
Littleboy D M, Smith P R. Closed loop analysis of a simple aircraft model using bifurcation methods . AIAA-96-35090, 1996
Gibson L P, Nichols N K, Littleboy D M. Bifurcation analysis of eigenstructure assignment control in a simple nonlinear aircraft model[J].Journal of Guidance, Control, and Dynamics.1998, 21(5):792-798
Sinha N, Ananthkrishnan N. Use of the extended bifurcation analysis method for flight control law design . AIAA-2002-0249, 2002
�迵.�ɻ���ӭ�Ƿ����Զ���ѧ�ķֲ�������������ۺ� .����:�������պ����ѧ�����������Ӧ����ѧϵ,2003 Li Kang. Bifurcation analysis and control synthesis of aircraft nonlinear dynamics at high angle of attack . Beijing: Department of Flight Vehicle Design and Applied Mechanics, Beijing University of Aeronautics and Astronautics, 2003 (in Chinese)
Richardson T, Lowenberg M, diBernardo M M, et al. Design of a gain-scheduled flight control system using bifurcation analysis[J].Journal of Guidance, Control, and Dynamics.2006, 29(2):444-453
Andry A N, Shapiro E Y, Chung J C. Eignstructure assignment for linear systems[J].IEEE Trans Aerospace & Electronics Systems.1983, 19(5):711-729