This project surveys nonlinear analysis and control methods for a specific two-degree-of-freedom analytical delta wing model. Linearization, phase plane analysis and existence theorems are used to describe the overall system behavior without solving the differential equations. A describing function is developed for the nonlinear system and favorably compares to the actual limit cycle amplitudes and frequencies. Linear pole placement and Ricatti control methods and nonlinear sliding mode and Lyapunov control laws are developed for stabilization and tracking.

Sliding Mode Control Schematic

See the full project at wingrock.pdf