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Navigation Functionalities for an Autonomous UAV Helicopter

Navigation Functionalities for an Autonomous UAV Helicopter

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104 APPENDIX A.<br />

Fig. 5. Mode sequence leading to touch down. Note that all tr<strong>an</strong>sitions are onedirectional:<br />

once a mode is exited it c<strong>an</strong> not be re-entered.<br />

throttle comm<strong>an</strong>d is ramped down, inducing loss of lift <strong>an</strong>d touch down.<br />

The control laws of the helicopter consist of <strong>an</strong> inner loop (pitch, roll <strong>an</strong>d<br />

yaw <strong>an</strong>gle control, <strong>an</strong>d vertical velocity control) <strong>an</strong>d <strong>an</strong> outer loop (position<br />

<strong>an</strong>d velocity control). The inner loop consists of the Yamaha Attitude Control<br />

System (YACS), the properties of which have been identified with a dedicated<br />

system identification session. The control equations of the outer loop c<strong>an</strong> be<br />

summarized as following:<br />

θC = KpxδX + KpvxδVX + KivxδVXsum<br />

∆φC = KpyδY + KpvyδVY + KivyδVY sum<br />

VZC = KivzδVZsum + Kpvz(VZtarget − VZ) (6)<br />

VZtarget = limit(0.75δZ, VZmin, VZmax)<br />

ωC = limit(Kpwδψ, −26 deg/s, 26 deg/s)<br />

where the subscripted K are control gains, the δ are control errors, the<br />

subscript sum indicates the integral terms, θC is the comm<strong>an</strong>ded pitch <strong>an</strong>gle,<br />

∆φC is the comm<strong>an</strong>ded roll <strong>an</strong>gle variation, ωC is the comm<strong>an</strong>ded yaw rate<br />

<strong>an</strong>d VZC is the comm<strong>an</strong>ded vertical velocity 2 .<br />

5 Experimental Results<br />

The helicopter used <strong>for</strong> experimentation is a slightly modified Yamaha RMAX<br />

(Fig. 1). It has a total length of 3.6 m (incl. main rotor) <strong>an</strong>d a take-off weight<br />

2 During the descent <strong>an</strong>d touch down phases, the gains of the velocity terms (Kpvx<br />

<strong>an</strong>d Kpvx) are increased by one fifth <strong>an</strong>d the integral terms in the horizontal<br />

control are activated, <strong>for</strong> faster <strong>an</strong>d more precise position control.

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