The design of Example 10.3 determined a lead network in order to obtain desirable dominant root locations using a cascade compensator G_c(s) in the system configuration shown in Figure 10.1 (a). The same lead network would be obtained if we used the feedback compensation configuration of Figure 10.1(b). Determine the closed-loop transfer function T(s) - Y(s)/R(s) of both the cascade and feedback configurations, and show how the transfer function of each configuration differs. Explain how the response to a step R(s) will be different for each system.

FIGURE 10.1

Example 10.3

Let us consider again the system of Example 10.1 where the uncompensated loop transfer function is

Example 10.1

Let us consider a single-loop feedback control system as shown in Figure 10.1(a), where