Bifurcation Analysis for Sailing Stability of Autonomous Underwater Vehicle
There are several nonlinear elements in the equations of Autonomous Underwater Vehicle(AUV) movements. It is difficult to deal nonlinear problem with traditional methods. A hydrodynamic parameter interference is chosen as bifurcation parameter at first. Then the sailing stability of AUV with proportional-derivative controller is analysed by bifurcation theory. The center manifold theory is used to get the expression of system state parameters. And the Hopf bifurcation of system is analysed. The result is verified by numerical simulations. It shows that the hydrodynamic parameter’s changing will bring Hopf bifurcation for depthkeeping saiiling. And the range of hydrodynamic parameter value that insures AUV sailing stability is given.
S. S. Shao et al., "Bifurcation Analysis for Sailing Stability of Autonomous Underwater Vehicle", Applied Mechanics and Materials, Vols. 44-47, pp. 1682-1686, 2011