a joint-space, cubic-splined path-planning system. butine that your system should include is Procedure CUBCOEF (VAR th0, thf, thdot0, thdotf: real; VAR cc: vec4); where th0 = initial position of 0 at beginning of skgment, thf = final position of 0 at segment end, thdot0 = initial velocity of segment, thdotf = final velocity of segment. These four quantities are inputs, and “c", an array of the four cubic coefficients, is the output. Your program should accept up to (at least) five via-point specifications–in the form of tool frame, {T}, relative to station frame, {S}–in the usual user form: (x, y, 4). To keep life simple, all segments will have the same duration. Your system should solve for the coefficients of the cubics, using some reasonable heuristic for assigning joint velocities at the via points Hint: See ontion 2 in Section 73

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1. Write a joint-space, cubic-splined path-planning system. One routine that your
system should include is
Procedure CUBCOEF (VAR th0, thf, thdot0, thdotf: real; VAR
сс:
vec4);
where
th0 = initial position of 0 at beginning of segment,
thf = final position of 0 at segment end,
thdot0 = initial velocity of segment,
thdotf = final velocity of segment.
These four quantities are inputs, and “c", an array of the four cubic coefficients, is
the output.
Your program should accept up to (at least) five via-point specifications-in the
form of tool frame, {T}, relative to station frame, {S}–in the usual user form:
(x, y, 4). To keep life simple, all segments will have the same duration. Your system
should solve for the coefficients of the cubics, using some reasonable heuristic for
assigning joint velocities at the via points. Hint: See option 2 in Section 7.3.
Transcribed Image Text:1. Write a joint-space, cubic-splined path-planning system. One routine that your system should include is Procedure CUBCOEF (VAR th0, thf, thdot0, thdotf: real; VAR сс: vec4); where th0 = initial position of 0 at beginning of segment, thf = final position of 0 at segment end, thdot0 = initial velocity of segment, thdotf = final velocity of segment. These four quantities are inputs, and “c", an array of the four cubic coefficients, is the output. Your program should accept up to (at least) five via-point specifications-in the form of tool frame, {T}, relative to station frame, {S}–in the usual user form: (x, y, 4). To keep life simple, all segments will have the same duration. Your system should solve for the coefficients of the cubics, using some reasonable heuristic for assigning joint velocities at the via points. Hint: See option 2 in Section 7.3.
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