Abstract
It is well-known that for a class of minimum-phase relative degree-one linear-time-invariant (LTI) systems, with a unit feedback control structure, overshoot must happen if the plant transfer function has poles at zero or unstable poles. This work aims to overcome this overshoot performance limitation by using a novel reset controller, which has a generalized first order reset element (GFORE) structure. By tuning parameters of this reset controller carefully, the non-overshoot performance can be ensured. Furthermore, the implementation of reset controller with a high-pass filter is provided. This shows that the performance limitation on overshoot can be removed by using the proposed reset controller. An illustrative example is given to show the effectiveness of the proposed methods.
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