For trajectory generation of an industrial robot, evaluate the coefficients of the fifth-order polynomial s(t) = ast³ + a4t¹ + a3t³ + a₂t² + a₁t + ao with time scaling that satisfies s(T) = 1 and s(0) = s(0) =š(0) = s(T) = S(T) = 0, where the initial time t = 0 and the final time T =1.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
For trajectory generation of an industrial robot, evaluate the coefficients of the fifth-order polynomial
s(t) a5t5 + a4tª + a3t³ + a₂t² + a₁t + ao with time scaling that satisfies s(T) = 1 and s(0) = s(0) =ŝ(0) =
s(T) =s(T) = 0, where the initial time t = 0 and the final time T =1.
=
Transcribed Image Text:For trajectory generation of an industrial robot, evaluate the coefficients of the fifth-order polynomial s(t) a5t5 + a4tª + a3t³ + a₂t² + a₁t + ao with time scaling that satisfies s(T) = 1 and s(0) = s(0) =ŝ(0) = s(T) =s(T) = 0, where the initial time t = 0 and the final time T =1. =
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