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This paper makes a research about the vibration damping of a flexible riser system. The partial-ordinary differential equations can be used to describe the riser system. Through the fusion of the boundary control and backstepping technique, a control strategy is proposed for suppressing riser's vibration and globally stabilizing the riser system at its equilibrium position, an auxiliary system is...
This paper is concerned with vibration control and boundary tension constraint of an axially moving string system. The main control objectives are to suppress the vibration of the string system and ensure the boundary tension in a constrained region. To this end, a boundary control strategy is developed via constructing a proper barrier Lyapunov function. In addition, the disturbance observer including...
An adaptive boundary controller is developed in this article for minimizing the vibration displacement of a flexible riser. The dynamics of riser system is represented by partial-ordinary differential equations. Through combining boundary control, adaptive technique with backstepping technique, an adaptive boundary controller is given for realizing vibration restraint for the riser system, where an...
This article presents a boundary control for the vibration reduction of an axially moving belt with high acceleration/deceleration in the presence of unknown disturbances. The nonhomogeneous infinite-dimensional model of the belt system is obtained via the extended Hamilton's principle. In an appropriate mathematical manner, the Lyapunov's direct method is adopted to construct a control law for the...
In this paper, the modeling and vibration control problem of an axially moving belt with high acceleration/deceleration under unknown disturbances are addressed. The dynamic model of the belt system is represented by a nonhomogeneous hyperbolic partial differential equation and two ordinary differential equations. Boundary control with disturbance adaption is developed to stabilize the transverse...
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