First-order systems Bode diagrams

The Bode diagram for a first order system is given in Figure 7.45. 

The Bode diagram in this case (Fig. 7.46) is distinguished by the fact that f is a parameter which affects both the AR and the yr plots. However, the asymptotes may be determined in the same manner as for the first-order system. It is found that, for all , the AR high frequency asymptote is a straight line of slope -2 passing through the point (1,1) and the LFA is represented by the line AR = 1. The yr plots all tend to zero degrees as tor- 0 and to -180° as When toc= lr, y/--90°... 

Construct the Bode diagram and Nyquist plot of a first-order system with dead time, having a transfer function... 

Figure 17.3 Bode diagrams for first-order system.

The Bode diagram, given in Figure 6.10, is the mirror image, about the frequeney axis, of the first-order lag system. Note that the transfer funetion given in equation (6.35) is also that of a PD eontroller. 

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