2022
DOI: 10.1007/s11071-022-07470-y
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Correction to: Research on nonlinear coupled tracking controller for double pendulum gantry cranes with load hoisting/lowering

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Cited by 2 publications
(3 citation statements)
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“…There is no friction at the suspension points. To build a nonlinear mathematical DAR model, let's use Lagrange equations of the second kind [8][9][10]. In our case, the coordinates are generalized q i and generalized speeds dq i /dt let's take the relative deviation angles of the stretched pendulum threads β and γ, and relative angular velocities of the links dβ/dt; dγ/dt.…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…There is no friction at the suspension points. To build a nonlinear mathematical DAR model, let's use Lagrange equations of the second kind [8][9][10]. In our case, the coordinates are generalized q i and generalized speeds dq i /dt let's take the relative deviation angles of the stretched pendulum threads β and γ, and relative angular velocities of the links dβ/dt; dγ/dt.…”
Section: Methodsmentioning
confidence: 99%
“…Today, various systems are being developed that function to increase the safety of using tower cranes. The task of reducing the swinging of the load when the rope breaks has been studied in many works by scientists around the world [6,[8][9][10][11]. At the same time, it should be noted that in known studies, insufficient attention is paid to the dynamic description of failure modes of cable systems within the framework of establishing and solving differential-algebraic levels (hereinafter DAR), which determines the relevance of this work.…”
Section: Introductionmentioning
confidence: 99%
“…For this reason, some meaningful results have been reported to deal with the control issues of overhead cranes with double-pendulum phenomena. [25][26][27][28] Especially, taking parameters uncertain and rope length variation into consideration, Lu et al design an adaptive control method, which achieves enhanced coupling between the trolley and the payload/hook. 26 Sun et al propose a new quasi-PID control approach for the control of overhead cranes with double-pendulum phenomena.…”
Section: Introductionmentioning
confidence: 99%