Question: P7.19 In recent years, many automatic control systems for guided vehicles in factories have been installed. One system uses a magnetic tape applied to the

P7.19 In recent years, many automatic control systems for guided vehicles in factories have been installed.

One system uses a magnetic tape applied to the floor to guide the vehicle along the desired lane [10, 15].

Using transponder tags on the floor, the automatically guided vehicles can be tasked (for example, to speed up or slow down) at key locations. An example of a guided vehicle in a factory is shown in Figure P7.19(a).Controller Actuator and vehicle s + 4s +100 s(s+2)(s+6) Y(s) Direction of

Sketch a root locus and determine a suitable gain

Ka so that the damping ratio of the complex roots is

ζ > 0.707.

Controller Actuator and vehicle s + 4s +100 s(s+2)(s+6) Y(s) Direction of travel FIGURE P7.19 R(s) E(s) Direction Ka (a) An automatically guided vehicle. reference (Photo courtesy of the Vanit Janthra/ Shutterstock.) (b) Block diagram. (b)

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