Page 205 - Modern Control Systems
P. 205
Section 3.4 Signal-Flow Graph and Block Diagram Models 179
+—o w*>
(a)
U(s) + Y(.s)
(b)
FIGURE 3.13 (a) Alternative flow graph state model for Equation (3.46). This model is called the
input feedforward canonical form, (b) Block diagram of the input feedforward canonical form.
EXAMPLE 3.2 Two state variable models
A single-loop control system is shown in Figure 3.14. The closed-loop transfer
function of the system is
Y(s) = 2s 2 + 8s + 6
T(s) = 3 2
U(s) ~ s + 8s + 16s + 6'
2{s+ 1)(^- + 3)
FIGURE 3.14 W.v) G(s) = s(s + 2)(s + 4) - • Y(s)
Single-loop control
system.
