4.3-2. (a) Find the system response at the sampling instants to a unit step input for the system of Fig. P4.3-2. Plot \( c(n T) \) versus time. (b) Verify your results of (a) by determining the input to the plant, \( m(t) \), and then calculating \( c(t) \) by continuous-time techniques. (c) Find the steady-state gain for a constant input (dc gain), from both the pulse transfer function and from the plant transfer function. (d) Is the gain in part (c) obvious from the results of parts (a) and (b)? Why? FIGURE P4.3-2 System for Problem 4.3-2.
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- The system consists of a zero-order hold and a plant. - The zero-order hold has a transfer function \( \frac{1 - e^{-Ts}}{s} \). - The plant has a transfer function \( \frac{2s}{s + 0.2} \). - The sampling period \( T = 0.5 \) seconds. Show more…
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