To verify if the discretized function gives the same output for a step response as the continuous version (equation (1)), we are going to implement equation (22) in Xcos as a block diagram. In the forward Euler discretization method, the variable s is replaced with: \ convert these recursion coefficients into the z-domain transfer function, and. In the Control System domain, through discretization, a transfer function H (s) is converted from the s-domain (Laplace) into the z-domain (discrete) transfer function H (z). Forward Euler (difference) discretization The Laplace transform deals with differential equations, the s-domain. Using the discretization methods above, we are going to convert the transfer function of the first order system H(s) from continuous time domain (s) to discrete time domain (z). Image: Step input system response – continuous system
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