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An Analytic Closed-Form Solution For Trajectory Generation on A Path Along An Arc of A Circle
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نویسنده
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Barghi Jond Hossein ,V. Nabiyev Vasif ,Akbarimajd Adel
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منبع
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Majlesi Journal Of Electrical Engineering - 2016 - دوره : 10 - شماره : 1 - صفحه:1 -6
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چکیده
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A polynomial trajectory is a time-traveled distance function used to describe trajectory of the robot. optimal high-degree polynomial trajectories considering initial and the final velocity conditions besides the acceleration constraints are desired. in this paper, a trajectory optimization problem aiming travel maximum distance for a robot that follows an arc based path is formulated. along the path, the robot requires observing initial and final zero velocity conditions as well as certain acceleration limits. a high-degree polynomial equation along the trajectory is proposed inside of the optimization problem. the closed-form solution of the problem had been obtained analytically. the solution includes the coefficients of the any high-degree trajectory polynomial equation where the coefficients are obtained in closed-form. simulations several experiments show that the resulting high-degree trajectories satisfy the initial and final zero velocity conditions as well as acceleration constraint.
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کلیدواژه
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Planning ,Mobile Robot ,Constrained Optimization ,Analytic Solution
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آدرس
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Slamic Azad University, Ahar Branch, Young Researchers And Elite Club, Iran, Karadeniz Technical University, Department Of Computer Engineering, Turkey, University Of Mohaghegh Ardabili, Department Of Electrical And Computer Engineering, Iran
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پست الکترونیکی
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akbarimajd@uma.ac.ir
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Authors
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