Page 137 - Modern Control Systems

Section 2.8 Design Examples 1 1 1

Honeycomb platform
FIGURE 2.48 Exploded view of the ORCA robot showing the components [15]. (Courtesy of
Beckman Coulter, Inc.)

EXAMPLE 2,17 Design of a low-pass filter
Our goal is to design a first-order low-pass filter that passes signals at a frequency
below 106.1 Hz and attenuates signals with a frequency above 106.1 Hz. In addition,
1
the DC gain should be / 2.
A ladder network with one energy storage element, as shown in Figure 2.49(a),
l
will act as a first-order low-pass network. Note that the DC gain will be equal to / 2
(open-circuit the capacitor).The current and voltage equations are
h = (Vi - Vi)G,
h = 05 - v 3)G,
V 2 = (/, - I 2)R,
Vj, = I 2Z,