Automatic guided vehicles are used in factories and

Chapter , Problem 12.28

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Automatic guided vehicles are used in factories and warehouses to transport materials. They require a guide path in the floor and a control system for sensing the guide path and adjusting the steering wheels. Figure P12.28 is a block diagram of such a control system. Obtain the transfer function \(G_c(s)\) so that the step response has an overshoot no greater than 20% with a 2%

                                                       

settling time of no more than 1 s, and a steady-state unit-ramp error of no more than 0.1 m.

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