Repeat Problem 4.2-3 with (T=0.01 mathrm{~s}). Problem 4.2-3. Find the (z)-transform of the following functions, using (z)-transform
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Repeat Problem 4.2-3 with \(T=0.01 \mathrm{~s}\).
Problem 4.2-3.
Find the \(z\)-transform of the following functions, using \(z\)-transform tables. Compare the pole-zero locations of \(E(z)\) in the \(z\)-plane with those of \(E(s)\) and \(E^{*}(s)\) in the \(s\)-plane (see Problems 3.4-1). Let \(T=0.5 \mathrm{~s}\).
(a) \(E(s)=\frac{10}{(s+1)(s+3)}\)
(b) \(E(s)=\frac{s+7}{s(s+3)}\)
(c) \(E(s)=\frac{s+2}{s(s+1)}\)
(d) \(E(s)=\frac{s+2}{s^{2}(s+1)}\)
(e) \(E(s)=\frac{s^{2}+3 s+2}{s(s+1)(s+2)}\)
(f) \(E(s)=\frac{2}{s^{2}+2 s+5}\)
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Related Book For
Digital Control System Analysis And Design
ISBN: 9781292061221
4th Global Edition
Authors: Charles Phillips, H. Nagle, Aranya Chakrabortty
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