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Trajectory optimization involving sloshing media
Author(s) -
Leonpacher Harald,
Douglas Steven S.,
Woolley Neil H.,
Kraft Dieter
Publication year - 2002
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.701
Subject(s) - container (type theory) , sequential quadratic programming , computer science , position (finance) , trajectory , quadratic programming , mathematical optimization , optimization problem , slosh dynamics , trajectory optimization , optimal control , motion (physics) , equations of motion , mathematics , engineering , physics , mechanical engineering , aerospace engineering , finance , astronomy , artificial intelligence , economics , quantum mechanics
This paper is concerned with the optimization of the transport motion of an open topped fluid filled container within a warehouse environment. In particular, optimal trajectories of the motion of the driver–container system in two‐dimensional space will be investigated via numerical solutions of the model equations using sequential quadratic programming. The fluid and the mechanical facility that moves the container are subject to several constraints. The objective of the optimization is the time to transport the container from an initial position to its final destination within the warehouse. Optimization criteria are investigated to control the movement of the fluid within the container. The systems of ordinary and partial differential equations, representing the dynamics of the models are solved numerically using a direct shooting method. The resulting non‐linear programming problem is solved using sequential quadratic programming (SQP). Copyright © 2002 John Wiley & Sons, Ltd.