IEEE Robotics & Automation Magazine - December 2018 - 42

π /2
0
0

5

10

15

20 25
Time (s)

θdesy

30

35

40

Position (m)

Pitch Angle
(rad)

π

1.5
1
0.5
0
-0.5
-1
-1.5
0

θest,y

2
pdes,x

4
pest,x

0.2
0
-0.2
-0.4
0

5

10

15

20 25
Time (s)

θerrx

θerry

30

35

40

0

2

4

θerrz

6
Time (s)

θerrx

pest,y

12
perr,z

8

θerry

10

12

10

12

θerrz

(b)

0.5
0
-0.5
0

5

10

15

20 25
Time (s)

perrx

perry

30

35

40

Tilting
Angles (rad)

Position (m)

pdes,y

10

0.2
0.1
0
-0.1
-0.2

(b)

π /2
π /4
0
-π /4
-π /2
0

perrz

(c)
Tilting
Angles (rad)

8

(a)
Rotation (rad)

Orientation
(rad)

(a)

6
Time (s)

2
α1

π
π /2
0
-π /2
-π

4
α2

6
Time (s)
α3

α4

8
α5

α6

(c)

0

5

10

α1

15
α2

20 25
Time (s)
α3

α4

30
α5

35

40

Figure 10. The (a) position, (b) rotation, and (c) tilting angles
of the Voliro UAV during the horizontal plus maneuver. The
orientation is given in zxy-Euler angles iv. The desired rotation
angle around the x axis is 50c .

α6

(d)

Rotor
Speeds

1
0.8
0.6
0.4
0

5
n12

10

15
n22

20 25
Time (s)
n32

n42

30

n52

35

40

n62

(e)
Figure 9. The (a) pitch angle, (b) orientation, (c) position,
(d) tilting angles, and (e) rotor speeds during the Voliro's
transition to upside-down flight. The x axis of all of the plots
displays the time in seconds. The orientation is given in zxyEuler angles iv. The squared rotor speeds are scaled, with 1
representing the maximal thrust produced by a rotor.

42

*

IEEE ROBOTICS & AUTOMATION MAGAZINE

*

december 2018

Figure 11. The three-sphere module mounted on the Voliro
prototype.



IEEE Robotics & Automation Magazine - December 2018

Table of Contents for the Digital Edition of IEEE Robotics & Automation Magazine - December 2018

Contents
IEEE Robotics & Automation Magazine - December 2018 - Cover1
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