Abstract: Based on Bifurcation Analysis and catastrophe theory, a novel theoretical method to forecast jump bifurcation phenomena in the control space is established with nonlinear mathematical models. The jump bifurcation is a type of phenomenon which often occurs in the aircraft maneuvers, such as rapid-roll divergence departure, entry into stall and then into spin from steady, straight flight, or recovery into the state of low angle of attack from high angle of attack. Apparently prediction of these phenomena in the control space will be of much help in the design of control law. By means of studying singular lines in the bifurcation surfaces, we get the critical values of control surfaces avoiding rapid-roll divergence and provide the guide to extend rapid-toll maneuver scope. According to the change of numbers and stability of equilibrium solutions in the bifurcation surfaces, the thesis works out the control law of bringing planes entry into stall, spin, then returning to stable and controllable state at low angle of attack. The calculation of time history proves the conclusion.

Key words: maneuver, control law, bifurcation surface