Page 345 - Mechanical Engineers' Handbook (Volume 2)
P. 345
336 Mathematical Models of Dynamic Physical Systems
Figure 19 Location of the upper complex pole in the s-plane in terms of the parameters of the standard
second-order system.
Transient Performance Measures
The transient response of a system is commonly described in terms of the measures defined
in Table 7 and shown in Fig. 22. While these measures apply to any output, for a second-
order system these can be calculated exactly in terms of the damping ratio and natural
frequency, as shown in column 3 of the table. A common practice in control system design
is to determine an initial design with dominant second-order poles that satisfy the perform-
ance specifications. Such a design can easily be calculated and then modified as necessary
to achieve the desired performance.
Figure 20 Unit impulse response for selected upper complex pole locations in the s-plane.
