Abstract

Abstract It is well-known that the performance of linear time-invariant (LTI) feedback control is hampered by fundamental limitations. In this paper, it is shown that by using a so-called hybrid integrator-gain system (HIGS) in the controller, important fundamental LTI performance limitations can be overcome. In particular, in this paper, we show this for two well-known limitations, where overshoot in the step-response of the system has to be present for any stabilizing LTI controller. For each case, it is shown that by using HIGS-based control, one can avoid overshoot in the step-response of the system. Key design considerations for HIGS-based controllers as well as the stability of the resulting closed-loop interconnections are discussed.

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