Problem 4 (Trajectory Generation): Consider a LSPB trajectory of the following form: q(t) = 9 +-t², 2 9f + 90 - V tf 2 at af - 2 0 ≤t ≤ tb +Vt, tb

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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Problem 4 (Trajectory Generation): Consider a LSPB trajectory of the following form:
q(t)
=
9 +-t²,
2
9f + 90 - V tf
2
at
af
-
2
0 ≤t ≤ tb
+Vt, tb <t≤ tf - tb
α
tf
+ α tft-t², tf - to <t≤t
15 (deg/sec), determine the LSPB trajectory that will satisfy the following constraints:
(a) Choose V =
to = 0 (second)
tf = 3 (second)
q(to) = qo = 0°
q(tf) = qƒ = 30°
C + 42012
0
28/180°/a singularity camiguration of this robor?
of this robot?
(b) Compute the position, velocity, and acceleration for t = 1.5 (second)
Transcribed Image Text:Problem 4 (Trajectory Generation): Consider a LSPB trajectory of the following form: q(t) = 9 +-t², 2 9f + 90 - V tf 2 at af - 2 0 ≤t ≤ tb +Vt, tb <t≤ tf - tb α tf + α tft-t², tf - to <t≤t 15 (deg/sec), determine the LSPB trajectory that will satisfy the following constraints: (a) Choose V = to = 0 (second) tf = 3 (second) q(to) = qo = 0° q(tf) = qƒ = 30° C + 42012 0 28/180°/a singularity camiguration of this robor? of this robot? (b) Compute the position, velocity, and acceleration for t = 1.5 (second)
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