1. Control of Longitudinal motion
Ing. Pavel Hospodář,
Czech technical university in Prague,
Faculty of electrical engineering ,
Department of control engineering
October , 2008

2. Elementary variables
Model of longitudinal motion
Short period – Damper
Phugoid mode – autopilot
L – lift [N] D – drag [N] T – thrust of engine [N] My – diving moment [N.m] θ – pitch angle [rad] α – angle of attack [rad] γ – flight path angle γ = θ-α [rad]

3. All variables in state-space model are in additional shape!
Inputs of the system
thrust of engine
elevator deviation
System outputs
Air speed
Angle of attack
Pitch rate
Pitch angle
Elementary variables
Model of longitudinal motion
Short period – Damper
Phugoid mode – autopilot
All variables in state-space model are in additional shape!

4. Model of longitudinal motion
Elementary variables
Model of longitudinal motion
Short period – Damper
Phugoid mode – autopilot
Zero/pole/gain from input "dv" to output "rate_pitch": s (s ) (s ) (s^ s ) (s^ s )

5. Short period mode - high frequence Phugoid mode - low frequence
Elementary variables
Model of longitudinal motion
Short period – Damper
Phugoid mode – autopilot
Short period mode - high frequence Phugoid mode - low frequence

6. Select higher damping for shorter period mode
Elementary variables
Model of longitudinal motion
Short period – Damper
Phugoid mode – autopilot
Select higher damping for shorter period mode

7. Low speed at top High speed at bottom Elementary variables
Model of longitudinal motion
Short period – Damper
Phugoid mode – autopilot
Low speed at top
High speed at bottom

8. Low damping Stability Elementary variables
Model of longitudinal motion
Short period – Damper
Phugoid mode – autopilot
Low damping Stability

9. Elementary variables
Model of longitudinal motion
Short period – Damper
Phugoid mode – autopilot

10. Autopilot - simulink model
Elementary variables
Model of longitudinal motion
Short period – Damper
Phugoid mode – autopilot
Servo – command saturation
– rate saturation