Trajectory Tracking Control for the Flexible Wings of a Micro Aerial Vehicle

This paper mainly regulates a flexible wing of a micro aerial vehicle to track two spatiotemporally varying trajectories. By utilizing Lyapunov's direct method, two boundary control laws are designed to guarantee uniform boundedness of the closed-loop target system along the time axis. Based on Schur complement lemma, nonlinear inequalities derived from the theoretical deduction are rewritten as matrixes, which are solved through the LMI toolbox in MATLAB. In addition, the tracking control problem is formulated as an optimization problem. The simulation examples are conducted to prove the effectiveness of the proposed boundary control laws.