Question: Consider an open loop system having a transfer function G(s) = (s + 4)1 and a sampler at the input. Find its output c(t) by

Consider an open loop system having a transfer function G(s) = (s + 4)–1 and a sampler at the input. Find its output c(t) by the conventional z-transform analysis, for a unit step input u(t) and also using delta operational transfer function (DOTF) for a sampling period h = 0.125 s. Consider m = 8 and T = 1 s.
Compare the results obtained using DOTF and through conventional z-transform analysis by estimating the percentage errors.

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