Question: Consider the first-order system of Problem 9.1. Identify the system using deconvolution process for the same value of (m, T) and similar input in NOBPF

Consider the first-order system of Problem 9.1. Identify the system using "deconvolution" process for the same value of $m, T$ and similar input in NOBPF and optimal block pulse function (OBPF) approaches. Compared to direct expansions in respective domains, compute percentage error for each segment and make your observation with respect to oscillation in the result.

Data From Problem 9.1

Consider an open-loop system having a transfer function $G(s)=(s+2)^{-1}$. Find its output $c(t)$ in block pulse function (BPF) domain as well as in non-optimal block pulse function (NOBPF) domain, for a step input $u(t)$ using the convolution matrix. Consider $m=4$ and $T=1 \mathrm{~s}$. Determine the percentage errors of different coefficients. Finally, compare the two results of the output and discuss.

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