Compensation of the nonlinear effects on a hydrostatic driver for the keel system in a yacht using bilinear system

Abstract

Technical systems have almost nonlinear system behaviors. For the descriptions of their dynamical causes and effects on system, the physical information, which is concerned as a nonlinear mathematic model, has been used. But the corresponding equations are generally not easy to solve in complete form or their solutions are so complicated to see through the coherence. A common way to settle such a problem is to linearize system exactly in a state space or on a operating points with Taylor's series approximately. An advanced method to an approximation is a bilinear system that offers global separations principle. In this paper, an extended application of this theory is given in a modeling and control on the hydrostatic driver for the keel system in a yacht that mostly have not only advantage of high performance, small volume of building and weight but also high nonlinear behavior.