Stabilisation of Dynamic Positioning Ships Based on Sampled-data Control

Abstract

This study investigates the control problem for a dynamic positioning ship (DPS) based on sampled-data. Firstly, the sampled-data control model for the DPS is established. The lower and upper bounds of the time-varying delay is taken into consideration. Then the criteria for asymptotically stability analysis and controller synthesis are provided by means of linear matrix inequalities. And less conservative results can be obtained by introducing convex reciprocal inequalities. Finally, an illustrative example is exhibited that the sampled-data controller is effective to guarantee that the states of the DPS are stable and have good H_? performance under the external disturbance.