Abstract
In this paper, we present a new cost function with fading memory and time-window in order to decrease the influence of old data in unfalsified adaptive control applications where the plant varies slowly or changes suddenly with time. Based on the unfalsified adaptive PID control, when the controller inserted in the system cannot guarantee the stability of the system, the cost function with a fading memory can detect the instability more quickly and then switch into a new stabilizing controller faster.
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