4.4. Results and discussions
A robot system is illustrated as shown in Figure 11. The
parameters of the mobile robot are listed in Table 1.
The authors set the time for the motion as tf ¼ 10 s, the
number of the particle as s ¼ 100, and the iterations as
k ¼ 100. After using the proposed approach to generate
the time-jerk synthetic optimal trajectory based on the
dynamic model, some results can be obtained for different
kinds of weighting ratios
J=
T.
The optimal trajectories of each joint and the
response of the platform and manipulator are shown
in Figures 13 to 15. From these figures, some assertions
can be arrived at as follows:
1. Owing to use the cubic splines interpolation, the position,
velocity and acceleration of each joint are continuous
after optimization.