Research of the transient processes for discrete control systems

Abstract

The dynamic characteristics of discrete systems, as in the theory of continuous systems, include transfer functions, time (impulse, transient) and frequency characteristics. When determining time characteristics, a single discrete impulse and a single discrete function are used as typical signals. The transient characteristic of a linear discrete system is the response to the single discrete function under zero initial conditions. The study of discrete systems begins with an assessment of their fundamental operability, that is, stability. The stability of continuous linear systems is determined by the behavior of the transient component of the general solution of a homogeneous differential equation of the system under study. Similarly, the problem is solved for discrete systems described by linear difference equations. A discrete system is called stable if the transient process tends to zero over time. The analysis of the discrete control system on the stability and accuracy of the transient process is conducted. Conclusion: in a discrete system stability, accuracy and control quality depend on the parameters of the gain system and the time.