Consider the rocket-positioning system shown in Fig. 5.62. (a) Show that if the sensor

Chapter 5, Problem 5.31

(choose chapter or problem)

Consider the rocket-positioning system shown in Fig. 5.62. (a) Show that if the sensor that measures x has a unity transfer function, the lead compensator stabilizes the system. (b) Assume that the sensor transfer function is modeled by a single pole with a 0.1 sec time constant and unity DC gain. Using the root-locus procedure, find a value for the gain K that will provide the maximum damping ratio. Figure 5.63 Control system for 5.32

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