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# ps5 580 - ECE 580 FEEDBACK CONTROL SYSTEMS(I Problem Set#4...

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ECE 580 FEEDBACK CONTROL SYSTEMS (I) Problem Set #4 Issued: Thursday, October 13, 2011 Due: Tuesday, October 25, 2011 Problem 1: Automatic control of helicopters is necessary because, unlike fixed wing aircraft, the helicopter is quite unstable. A helicopter control system that uses an automatic control loop is shown in Figure 1.When the pilot is not using the command stick, the switch may be considered to be open. The dynamics of the helicopter transfer function are: G s ( ) = 25 s + 0.03 ( ) s + 0.4 ( ) s 2 ! 0.36 s + 0.16 ( ) a) With the pilot control loop open (hands off), plot the root locus for the automatic stabilization loop. Determine the gain K 2 that results in a damping ratio for the complex closed-loop poles of ! = 0.707 . b) For the gain K 2 determined in part a, determine the steady-state error due to a

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