TY - GEN
T1 - The generation and optimization of trigonometric joint trajectories for robotic manipulators
AU - Simon, D.
AU - Isik, C.
PY - 1991
Y1 - 1991
N2 - A method of manipulator path planning is presented, and a trajectory interpolation algorithm is given. Closed-form and numerical path optimization methods are discussed. This new method consists of the use of trigonometric splines of order 4. Continuity of the first 3 derivatives is ensured, and the first 3 derivatives at the endpoints can be constrained to any desired value. Trigonometric splines are computationally less expensive than algebraic splines, because there is no need to solve a set of simultaneous linear equations. The derivatives of a trigonometric spline are generally much lower than the derivatives of the corresponding algebraic spline. Trigonometric polynomials are very smooth functions due to the orthogonality of cosine and sine terms.
AB - A method of manipulator path planning is presented, and a trajectory interpolation algorithm is given. Closed-form and numerical path optimization methods are discussed. This new method consists of the use of trigonometric splines of order 4. Continuity of the first 3 derivatives is ensured, and the first 3 derivatives at the endpoints can be constrained to any desired value. Trigonometric splines are computationally less expensive than algebraic splines, because there is no need to solve a set of simultaneous linear equations. The derivatives of a trigonometric spline are generally much lower than the derivatives of the corresponding algebraic spline. Trigonometric polynomials are very smooth functions due to the orthogonality of cosine and sine terms.
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U2 - 10.23919/acc.1991.4791753
DO - 10.23919/acc.1991.4791753
M3 - Conference contribution
AN - SCOPUS:0026382235
SN - 0879425652
SN - 9780879425654
T3 - Proceedings of the American Control Conference
SP - 2027
EP - 2032
BT - Proceedings of the American Control Conference
PB - Publ by American Automatic Control Council
T2 - Proceedings of the 1991 American Control Conference
Y2 - 26 June 1991 through 28 June 1991
ER -