Control of Longitudinal motion Ing. Pavel Hospodář, hospop1@fel.cvut.cz Czech technical university in Prague, Faculty of electrical engineering , Department of control engineering October , 2008
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]
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!
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": 3.7632 s (s+0.7894) (s+0.06408) --------------------------------------------------------------------- (s^2 + 0.04318s + 0.01628) (s^2 + 3.21s + 5.401)
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
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
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
Low damping Stability Elementary variables Model of longitudinal motion Short period – Damper Phugoid mode – autopilot Low damping Stability
Elementary variables Model of longitudinal motion Short period – Damper Phugoid mode – autopilot
Autopilot - simulink model Elementary variables Model of longitudinal motion Short period – Damper Phugoid mode – autopilot Servo – command saturation – rate saturation