Upper Limb Robot Mediated Stroke Therapy ? GENTLE/s Approach

Hence, the polynomial becomes:
' 1 0 p
'' 1 0 p
' 1 0 p
'' 1 0 p
We can then identify the coefficients of the polynomial as:
Where:
p a b
a
p pend pstart
9)
Mid velocity needs to be determined in order to minimise the integral given by
equation (10) and achieve a minimum jerk movement.
J
Thus, to achieve maximum smoothness, mid velocity should be expressed by:
If equations 8 and 11 are used, due to the minimum jerk movement the polynomial
is reduced to a 5 th 15
b p
(11)
16
order polynomial. The minimum jerk model and polynomials presented
in this section were used to implement the therapy modes explained in section 3.2 and to
generate minimum jerk paths for the Bead-Highway explained in section 2. Polynomial
coefficients are calculated between Haptic Interface end-effector's current position (P1 in
Figure 3.1 ) and target‟s position (P2 in Figure 3.1 ).
3 5
d
f
h
p p
start
p'
o
2
b v
end
mid
35
d p 3b
16
21
f 3 b p
8
15
h p b
16
1
1
2
p'''
d
7
10)
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3)
4)
5)
6)
7)
8)
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(
(
(
(
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