The Parametric Transfer Function Of The Non-Stationary AUV And Mothership Docking System Properties Analysis

Studies of adaptive systems often lead to problems in the theory of automatic control systems with variable coefficients and, to the issues of representation and analysis of the behavior of their solutions. One of the apparatuses for representation and analysis of solutions of non-stationary systems, is the parametric transfer function apparatus. At the same time, the issues of applying the apparatus of parametric transfer functions, which are primarily related to the problems of the theory of essentially non-stationary systems, need further development. In the article, using the example of an AUV rendezvous system and a base ship, a mathematical description of an essentially non-stationary system in the form of a parametric transfer function is considered and its properties are analyzed.