In this paper, An extended Generalized Kalman-Yakubovich-Popov (GKYP) Lemma, specifically addressing the stability and performance analysis problems of unmanned multi-order fractional-order systems, is established. The implications of the proposed extended GKYP Lemma are illustrated by solving the stability analysis problems of unmanned multi-order fractional-order systems. It is shown that the proposed GKYP Lemma can convert certain classes of frequency domain inequalities into linear matrix inequalities, and can offer several advantages, including global stability analysis, robustness to uncertainties, numerical efficiency. Finally, A numerical example is provided to verify the effectiveness of our results.