2023
DOI: 10.48550/arxiv.2303.08707
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On the design of persistently exciting inputs for data-driven control of linear and nonlinear systems

Abstract: In the context of data-driven control, persistence of excitation (PE) of an input sequence is defined in terms of a rank condition on the Hankel matrix of the input data. For nonlinear systems, recent results employed rank conditions involving collected input and state/output data, for which no guidelines are available on how to satisfy them a priori. In this paper, we first show that a set of discrete impulses is guaranteed to be persistently exciting for any controllable LTI system. Based on this result, for… Show more

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