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Adams amplitude analog model analog pilot bank angle Bergeron Closed-loop characteristics Root-mean control loop control technique damping ratio decrease direct proportion Disturbance break-point frequency Engineer G Figure 17 Fixed gain simulation gains Closed-loop characteristics Hugh human pilot HUMAN TRANSFER FUNCTIONS inner loop Kincaid Langley Research Center limited stick limited torque Cut-off limited torque Limit LINEAR CONTROL linear model linear stick low saturated control maximum voltage MEASURE HUMAN TRANSFER Measured gains 2.5 Measured gains Closed-loop multi-loop problem NASA TN nonlinear on-off torque Step oscilloscope performing task Pilot B performing radian per second Real roots radians/sec root-mean-square error roots radians/sec radians/sec saturated control torques simulated torque output single-axis tests single-loop tests Sketch square error static error step inputs stick deflection stick output SUMMARY OF DATA table l(b torque Cut-off voltage Torque level torque Measured gains torque Step voltage vehicle dynamics volts Analog-pilot output volts Kl radians/sec volts Measured gains