1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
![]() |
74 |
![]() |
|||||||||||||||||||||||||||||||||||||||||||
transition
|
![]() |
|||||||||||||||||||||||||||||||||||||||||||
DOF: |
1 0 |
2:0 |
80 |
-95 |
45 |
6:0 |
55 |
-65 |
10 |
![]() |
||||||||||||||||||||||||||||||||||
S1 |
0 |
|
-45 |
0 |
0 |
15 |
25 |
-25 |
0 |
![]() |
||||||||||||||||||||||||||||||||||
state |
![]() |
|||||||||||||||||||||||||||||||||||||||||||
Figure 4.17 - Robo-bird base PCG for running |
![]() |
|||||||||||||||||||||||||||||||||||||||||||
|
![]() |
|||||||||||||||||||||||||||||||||||||||||||
Figure 4.18 - A running robo-bird |
![]() |
|||||||||||||||||||||||||||||||||||||||||||
While both the robo-bird and human models are bipeds, their dynamics are different. |
When |
![]() |
||||||||||||||||||||||||||||||||||||||||||
standing and walking, the human model is supported by the rigidity of its straight stance leg, |
![]() |
|||||||||||||||||||||||||||||||||||||||||||
which typically has little or no freedom in the vertical direction. |
In theory, no actuator forces are |
![]() |
||||||||||||||||||||||||||||||||||||||||||
required to prevent the human model from collapsing. The leg structure of the robo-bird model is |
![]() |
|||||||||||||||||||||||||||||||||||||||||||
such that actuator forces must constantly be applied even to remain standing upright. |
This means |
![]() |
||||||||||||||||||||||||||||||||||||||||||
there is a significant amount of vertical compliance when moving, leading to "bouncy" motions. As well, the base of the robo-bird model is wide enough to make standing on one foot for any |
![]() |
|||||||||||||||||||||||||||||||||||||||||||
length of time difficult. for this model. |
These factors make a dynamic running motion more natural than a walk |
![]() |
||||||||||||||||||||||||||||||||||||||||||
4. 6 |
Conclusions |
![]() |
||||||||||||||||||||||||||||||||||||||||||
In |
this |
chapter |
we |
have |
presented |
evidence |
that |
the |
discrete |
limit |
cycle |
control |
technique |
![]() |
||||||||||||||||||||||||||||||
introduced in Chapter 3 can be used to generate balanced walking motions for the human model |
![]() |
|||||||||||||||||||||||||||||||||||||||||||
and a running motion for the robo-bird model. |
Two choices of RV, based on the up-vector and |
![]() |
||||||||||||||||||||||||||||||||||||||||||
the swing-COM vector, were successfully applied to this end. |
A torso servo was shown to be |
![]() |
||||||||||||||||||||||||||||||||||||||||||
useful in improving the aesthetics of the human model's motion. |
Finally, a running motion for |
![]() |