速度や変位の絶対値で切り替わるメカニカルハイブリッドシステムの同定法

摘要

微分方程式などにより記述される連続的な動特性と，スイッチのON/OFFなどの離散事象が混在したシステムをハイブリッドシステムという。%In this paper, we propose a system identification method for hybrid systems switched by the absolute value of velocity or displacement. First, it is shown that the regression vector space of a mechanical system switched by the absolute value of velocity or displacement cannot be separated by a hyperplane. Then a method based on support vector machines with a polynomial kernel is proposed. The effectiveness is shown by simulations using a spring-mass-damper system.