The presented report examines the isolated longitudinal movement of a mini unmanned air vechicle type flying wing. The overall dimensions and the mass characteristics are taked from the developed MUAV. These features are introduced into the software environment of the virtual aerodynamic tunnel. The resulting mathematical model is statically balanced in the isolated longitudinal movement and the openloop system has been stability examined. The received state matrix is introduced into the state space model of the isolation longitudinal movement and the system is tested for stability and controlability. A matrix of the compensator is synthesized, and its optimal coefficients are found by two methods.