Consider the system of Fig. P4.10-1. The plant is described by the first-order differential equation Let T

Consider the system of Fig. P4.10-1. The plant is described by the first-order differential equation

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Let T = 2 s. E(s) dy(t) + 0,05y (t) = 0.1m(t) dt G(s) A/D Digital filter DIA G(s) G (s) C(s) Fig. P4.10-1 (a) Find the system transfer function Y(z)/E(z)* (b) Draw a discrete simulation diagram, using the results of part (a), and give the state equations for this diagram. (c) Draw a continuous-time simulation diagram for and given the state equations for this diagram. (d) Use the state-variable model of part (c) to find a discrete state model for the system. The state vectors of the discrete system and the continuous-time system are to be the same. (e) Draw a simulation diagram for the discrete state model in part (d).