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This paper demonstrates a good application of SDRE technology to propose optimal controllers for a flexible transporter system with arbitrarily varying lengths. A model for a flexible cable transporter system with varying cable lengths is developed using Hamilton's principle. Galerkin's method is applied to transform the infinite dimensional system into a set of finite dimensional ordinary differential...
Modeling for coupled vibrations of a varying length flexible cable transporter system with arbitrary axial velocity is presented using the extended Hamilton's principle. Both transverse and longitudinal vibrations are considered simultaneously in the derivation. The inertia and damping of the pulleys and actuators are included in the model. The derived governing equations provide guidelines for future...
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