Operator-based Robust Nonlinear Vibration Control System for A Flexible Arm with Double-sided SMA

The nonlinear vibration control system for a flexible arm using shape memory alloy (SMA) is discussed in this paper. The dynamic model of the flexible arm with SMA actuator is described. For considering the effect of hysteresis nonlinearity, an operator-based nonlinear control scheme is introduced to satisfy stability of the nonlinear control system. Simultaneously, the tracking performance is considered by designed n-times feedback loops based on operator theory. And, the desired vibration control performance can be obtained by the designed nonlinear control scheme. Finally, numerical simulations are conducted to verify the effectiveness of the designed control system.