Question

Homework 1 Homework 1 Problem 1 Known the differential equations of a system $x_1(t) = r(t) - c(t)$ $T_1 \frac{dx_1(t)}{dt} + x_1(t) = K_1x_2(t)$ $x_2(t) = x_1(t) - K_2c(t)$ $T_2 \frac{dc(t)}{dt} + c(t) = K_3x_2(t)$ $r(t)$ denotes input. $c(t)$ denotes output. $x_1(t)$, $x_2(t)$ and $x_3(t)$ are intermediate variables. $K_1, K_2, K_3, T_1, T_2$ are all constants. All initial conditions are zero. Draw the block diagram and find transfer function of the system. Problem 2 Find the transfer function of the system shown in Fig.problem2 (block diagram reduction)

          Homework 1
Homework 1
Problem 1
Known the differential equations of a system
$x_1(t) = r(t) - c(t)$
$T_1 \frac{dx_1(t)}{dt} + x_1(t) = K_1x_2(t)$
$x_2(t) = x_1(t) - K_2c(t)$
$T_2 \frac{dc(t)}{dt} + c(t) = K_3x_2(t)$
$r(t)$ denotes input. $c(t)$ denotes output.
$x_1(t)$, $x_2(t)$ and $x_3(t)$ are intermediate variables.
$K_1, K_2, K_3, T_1, T_2$ are all constants.
All initial conditions are zero.
Draw the block diagram and find transfer function of the system.
Problem 2
Find the transfer function of the system shown in Fig.problem2 (block
diagram reduction)

Homework 1
Homework 1
Problem 1
Known the differential equations of a system
x1(t) = r(t) - c(t)
T1 (dx1(t))/(dt) + x1(t) = K1x2(t)
x2(t) = x1(t) - K2c(t)
T2 (dc(t))/(dt) + c(t) = K3x2(t)
r(t) denotes input. c(t) denotes output.
x1(t), x2(t) and x3(t) are intermediate variables.
K1, K2, K3, T1, T2 are all constants.
All initial conditions are zero.
Draw the block diagram and find transfer function of the system.
Problem 2
Find the transfer function of the system shown in Fig.problem2 (block
diagram reduction)

Added by Eugenia S.

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