E10.13 The design of Example 10.3 determined a lead network in order to obtain desirable dominant root locations using a cascade compensator G s c ( ) 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.