2014
DOI: 10.1007/s11071-013-1219-7
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Optimal motion planning of non-linear dynamic systems in the presence of obstacles and moving boundaries using SDRE: application on cable-suspended robot

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Cited by 37 publications
(20 citation statements)
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“…Controlling the behavior of mechanical systems is an integral concept that inevitably arises in entire engineering research fields from dynamics and robotics [9][10][11] to fluid mechanics [12][13][14] and turbulent boundary layers [4][5][6][7]. Boundary layer can be controlled through a passive method, which not needs a controller, and/or an active method, which requires a controller and controlling sensors [8].…”
Section: Boundary Layer Control Methodsmentioning
confidence: 99%
“…Controlling the behavior of mechanical systems is an integral concept that inevitably arises in entire engineering research fields from dynamics and robotics [9][10][11] to fluid mechanics [12][13][14] and turbulent boundary layers [4][5][6][7]. Boundary layer can be controlled through a passive method, which not needs a controller, and/or an active method, which requires a controller and controlling sensors [8].…”
Section: Boundary Layer Control Methodsmentioning
confidence: 99%
“…SDRE method provides an optimal controller that can be applied to complicated nonlinear dynamic systems easily and systematically [14]. Authors in [15] has done a thorough survey of SDRE that contains details like formulation and structure, optimality concept, state dependent parameterization and stability conditions.…”
Section: Introductionmentioning
confidence: 99%
“…In comparison with LQR, SDRE is proved to be more robust [16]. Difficulties of SDRE's exact solution has given rise to numerical techniques like power series [17], which are developed for the most general cases [14].…”
Section: Introductionmentioning
confidence: 99%
“…When carrying a heavy payload, instability of the base and greater energy consumption [14] absolutely cannot be ignored. Considering that the nonlinear optimal control using SDRE is an efficient approach for the motion planning problem of manipulator systems which have a large number of DOF and multiple objects [15,16], it is employed in this paper.…”
Section: Introductionmentioning
confidence: 99%