Selection of the gain factors of the feedback circuit of the electro-hydraulic executive device of a digital system of automatic control of a moving object

Abstract

Most modern moving objects, including military moving objects, are equipped with guidance and stabilization systems with electro-hydraulic executive devices. Intercontinental ballistic missiles, space vehicles, aircraft, the main armament of tanks and ships have high-precision digital guidance and stabilization systems with electro-hydraulic actuators with potentiometric feedback, capable of ensuring high accuracy of stabilization of a moving object in a given direction. The work is devoted to the development of a methodology for selecting the value of the feedback channel amplification coefficient, which provides the maximum margin of stability and the maximum speed of the closed digital system of guidance and stabilization of a moving object. The proposed technique is based on the application of a discrete-continuous mathematical model of a closed digital system of guidance and stabilization of a moving object, which contains ordinary differential equations for describing the disturbed motion of the continuous part of the stabilized object, as well as difference equations for describing a discrete stabilizer. To construct the characteristic equation of a closed discrete system, the mathematical model is reduced to a system of difference equations using matrix series. At the same time, the number of considered members of the matrix series depends on the value of the quantization period of the digital stabilizer, therefore, in addition to determining the amplification coefficient of the feedback channel of the executive device, the proposed technique also includes the determination of the value of the quantization period of the digital stabilizer.