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

70

the COM in the lateral dimension. Figure 4.13 shows the resulting Qi*for such an attempt based

on the walk of Figure 4.11, which exhibits tightrope walking. A lateral Qd
component of ±0.03 is

used instead of 0.0. The sign of Qd
is such that foot placement target is away from the COM.

The resulting walk does not fall and exhibits much more realistic lateral foot placement.

4. 3

Stance-COM Regulation Variables

While using the up-vector and swing-COM RVs achieves

reasonable

success

in

generating

walking motions, similar use of the stance-COM RVs does not. Most trials fall during the second

controlled step. The failures are due to the fact that even modest changes in the stance-COM RVs

require very large stance hip perturbations which cause very large changes in the biped's state.

Figure 4.14 illustrates this idea. Because of this result, the chosen balance parameters fail to reach

a suitable state from which to begin the next cycle, even though the desired RV value might be

attained.

IMAGE Imgs/thesis.final.w6145.gif

IMAGE Imgs/thesis.final.w6147.gif

IMAGE Imgs/thesis.final.w6146.gif

[!]Qfwdsmall

[!]K large

Figure 4.14 - Variation of stance-COM RV with stance hip pitch ([!]K)


While the walks all fall quickly, two interesting observations can be made:

  1. The first controlled step reaches Qdwith a high degree of accuracy, i.e. the discrete


system model of the first step is accurate.

[CONVERTED BY MYRMIDON]