The main fields of application of land gyroscopic orientation are considered. It is shown that in order to reduce the measurement time, a compensating method for measuring the azimuth is used in the gyrotodolites, and a functional diagram of the device is presented.A new structure of the feedback controller is proposed, the coefficients of which are determined by modal control methods in the case of incompletely measured state space vector. The mathematical model of the device in the form of a state space is considered. The controllability analysis for a given structure of state matrices and control transfer is carried out. The matrix transfer functions of the control object and the coefficients of the PD controller are determined on the basis of the required values of the two roots of the characteristic equation of the closed-loop control system.The obtained functional dependences of the coefficients of the PD controller on the parameters of the device and the desired placement of the roots of the characteristic polynomial of the closed system allow for the design of control systems for various types of objectsModeling of the operation of the control system using a software model is carried out, the adequacy of which has been verified on the basis of certain analytically fundamental frequencies. The results of the simulation showed that the application of the proposed controller allows to significantly reduce transient process end time at a similar amplitude of control.In the future, studies can be aimed at developing and improving methods for determining the angular velocity of a sensitive element in the azimuth. Perspective is the analysis of the possibilities of constructing control systems that use other informative signals, for example, signals of a two-coordinate auto-collimator.