Simulating the Effect of the Sampling Time in Different Discrete Transformations for the First Order System Using MATLAB Software

The basic model type of continuous-time dynamic systems is the differential equation. Analogously, the basis model type of discrete-time dynamic systems is the difference equation. Numerical analysis has great importance in the field of Engineering, Science and Technology etc. In numerical analysis, we get the result in numerical form by computing methods of given data. The base of numerical analysis is calculus of finite difference which deals with the changes in the dependent variable due to changes in the independent variable. This paper studies mathematically with examples different sampling times in different transformations (Difference equations ,Direct z-transform and Zero Order Hold transform ).Also in this paper, continuous and these discrete transformations were compared and simulated using MATLAB package. Linear Time Invariant systems LTI with backward, forward, and bilinear approximation methods, direct z-transform and Zero Order Hold were simulated to study the effect of different sampling times in open loop.