8. The motion of a helicopter, Figure 3(a), is controlled by controlling the pitch angle (angle of attack) of the blades, Figure 3(b). PITCH YAW ROLL Figure 3 (a) The directions a helicopter can move in and the associated name of control. Angle of attack Horizontal airflow Rotor blade (end view) Direction of blade rotation Figure 3 (b) Pitch angle (angle of attack) of the blades The pitch angle to blade control of a helicopter can be represented by the following (simplified) transfer function: e(s) R(s) 20 2s² + s + 0.4 What are the poles of the system? Is the system stable? b) What are the natural frequency and damping ratio? c) d) What is the steady-state error of the system to a unit step input? What are the rise time and percent overshoot? e) MATLAB. f) Plot the time response for the open loop system for a unit step input using Add a proportional controller K and a unity feedback, see Figure 3(c), find a proper gain K such that the steady-state error to a unit step input decreases to 0.005.

Automotive Technology: A Systems Approach (MindTap Course List)
6th Edition
ISBN:9781133612315
Author:Jack Erjavec, Rob Thompson
Publisher:Jack Erjavec, Rob Thompson
Chapter22: Basics Of Electronics And Computer Systems
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8.
The motion of a helicopter, Figure 3(a), is controlled by controlling the pitch
angle (angle of attack) of the blades, Figure 3(b).
PITCH
YAW
ROLL
Figure 3 (a) The directions a helicopter can move in and the associated name of control.
Angle of attack
Horizontal airflow
Rotor blade (end view)
Direction of blade rotation
Figure 3 (b) Pitch angle (angle of attack) of the blades
The pitch angle to blade control of a helicopter can be represented by the following
(simplified) transfer function:
e(s)
R(s)
20
2s² + s + 0.4
What are the poles of the system? Is the system stable?
b)
What are the natural frequency and damping ratio?
c)
d)
What is the steady-state error of the system to a unit step input?
What are the rise time and percent overshoot?
e)
MATLAB.
f)
Plot the time response for the open loop system for a unit step input using
Add a proportional controller K and a unity feedback, see Figure 3(c), find
a proper gain K such that the steady-state error to a unit step input decreases to 0.005.
Transcribed Image Text:8. The motion of a helicopter, Figure 3(a), is controlled by controlling the pitch angle (angle of attack) of the blades, Figure 3(b). PITCH YAW ROLL Figure 3 (a) The directions a helicopter can move in and the associated name of control. Angle of attack Horizontal airflow Rotor blade (end view) Direction of blade rotation Figure 3 (b) Pitch angle (angle of attack) of the blades The pitch angle to blade control of a helicopter can be represented by the following (simplified) transfer function: e(s) R(s) 20 2s² + s + 0.4 What are the poles of the system? Is the system stable? b) What are the natural frequency and damping ratio? c) d) What is the steady-state error of the system to a unit step input? What are the rise time and percent overshoot? e) MATLAB. f) Plot the time response for the open loop system for a unit step input using Add a proportional controller K and a unity feedback, see Figure 3(c), find a proper gain K such that the steady-state error to a unit step input decreases to 0.005.
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