Noise tolerance improvement of the Linear Periodic Model reference adaptive control using vigorous probing

The use of a linear periodic controller (LPC) has been proposed as a new approach in the field of model reference adaptive control. The resulting controller can handle rapid changes in plant parameters, and it provides smooth transient behavior for a closed-loop system. Moreover, the LPC generates control signals, which are modes in size when measured using the infinity norm. Although the LPC has these advantages, it suffers from poor noise tolerance. The smaller the sampling time is the less noise tolerant the controller is. In this work, to alleviate this drawback, we apply a probing signal with a larger size. The probing size is inversely proportional to the sampling time. The proposed method has significantly better noise rejection but larger control signal.