In the recent research, we have shown the intimate relationship between the state trajectory sensitivity of a linear uncertain system and the normality of the system matrix. Utilizing this property, we introduce two different indices of the normality of matrices as the basis and propose two new methods for the synthesis of low sensitivity linear state feedback regulators. In addition to the description of the background theory, the two new methods are respectively applied to practical and academic design examples for illustration. Finally, computer simulations verify the effectiveness of the design methods.