Nonlinear Adaptive Vibration Absorber for Linear Uncertain Systems Experiencing Uuknown Sinusoidal Disturbances

摘要

This paper describes the design and implementation of a nonlinear adaptive disturbance rejection approach for single-input-single-output (SISO) linear-time-invariant (LTI) uncertain systems subject to sinusoidal disturbances with unknown amplitude and frequency. The technique requires the construction of a set of stabilizing tuning functions utilizing a state estimate observer in a backstepping fashion to achieve asymptotic disturbance rejection. Utilizing only the system output, a virtual control input is used in place of non-measurable and unknown signals. The performance of the adaptation algorithm is demonstrated through simulations on a two-degree-of-freedom (2DOF) system, representing a mass-spring-damper vibration absorber setting appended on a single DOF (SDOF) primary system with unknown parameters.