Modification of an adaptive controller for systems with input saturation and available output derivatives up to the order of relative degree

In this paper, the main attention is focused on transient property of control input signal, we propose a novel adaptive controller for time-continuous single-input single-output linear systems with an input saturation in which i-th derivatives of the output signal (i = 1, ..., relative degree) are available. In the proposed adaptive controller, arbitrary deterministic signals can be used as an input of the reference models. It is shown theoretically that the tracking error between the controlled object output and the reference model output can converge to zero when the initial value of the tracking error satisfies a condition. Moreover, it is also shown theoretically that tracking performance can be improved by setting design parameter.