For multi-input, multi-output (MIMO) nonlinearly parameter dependent linear parameter-varying (LPV) systems with multiple parameters, a design method of gain-scheduled state feedback control using a minimum sensitivity eigenvalue assignment of the frozen parameter closed-loop system with quadratic stability checks is proposed. The proposed design method is applied to the bank-to-turn (BTT) control of a flight vehicle, and the nonlinear 6 degree of freedom (DOF) simulations are performed to show the usefulness as a gain-scheduled state feedback control scheme.