Finite-time Control Design of Flexible Risers with Input Saturation Constraints
DOI:
https://doi.org/10.54097/6h4a8d42Keywords:
Marine flexible risers; finite time control; output constraints; vibration control; input saturation constraints.Abstract
To control the vibration of flexible riser systems affected by uncertain perturbation, this paper utilizes the transverse vibration control equations of marine flexible risers established based on Hamiton's principle and conducts a controlled study by combining the problems of input saturation and output limitation that exists in the practical engineering applications. A finite time control algorithm for flexible risers with input saturation constraints and output constraints is proposed. The barrier Lyapunov function is used to limit the end of the flexible riser to a given range, and the hyperbolic tangent function is introduced to deal with the saturation nonlinearity. The stability of the system is proved using the Lyapunov stability theory. Finally, the superiority of the control algorithm proposed in this paper is illustrated with simulation examples.
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