2012
DOI: 10.1007/s11465-012-0304-9
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Trajectory planning of mobile robots using indirect solution of optimal control method in generalized point-to-point task

Abstract: This paper presents an optimal control strategy for optimal trajectory planning of mobile robots by considering nonlinear dynamic model and nonholonomic constraints of the system. The nonholonomic constraints of the system are introduced by a nonintegrable set of differential equations which represent kinematic restriction on the motion. The Lagrange's principle is employed to derive the nonlinear equations of the system. Then, the optimal path planning of the mobile robot is formulated as an optimal control p… Show more

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Cited by 12 publications
(7 citation statements)
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“…A Wheeled Mobile Robot (WMR) was an indirect solution to the optimal control strategy for optimal trajectory planning, taking into account the nonlinear dynamic model of the system and the nonholonom constraints [40].…”
Section: Trajectory Planning: Minimum Energymentioning
confidence: 99%
“…A Wheeled Mobile Robot (WMR) was an indirect solution to the optimal control strategy for optimal trajectory planning, taking into account the nonlinear dynamic model of the system and the nonholonom constraints [40].…”
Section: Trajectory Planning: Minimum Energymentioning
confidence: 99%
“…The control algorithm that has been developed is designed to maintain the desired course [6][7][8]. This course in the final stage of the project will be given from the vision navigation.…”
Section: Control Algorithmmentioning
confidence: 99%
“…Furthermore, Nazemzadeh et al presented an optimum control strategy to plan the optimal trajectory for mobile robots. Through the indirect solution of the optimal control technique, they introduced the trajectory planning of mobile robots [4]. Yen and Cheng introduced an algorithm (fuzzy control with ant colony) that discovers the shortest pathway, distinguishes the entire obstacles found ahead of the robot via ultrasonic transducers, and modifies the mobile robot's turning angles to avoid obstacles [5].…”
Section: Introductionmentioning
confidence: 99%