Sampled-data repetitive control for a class of non-minimum phase nonlinear systems subject to period variation

Quan Quan and Kai-Yuan Cai

International Journal of Systems Science, 2020, vol. 51, issue 4, 704-718

Abstract: The robust sampled-data repetitive control (RC, or repetitive controller, also designated RC) problem for non-minimum phase nonlinear systems is both challenging and practical. This paper proposes a sampled-data output-feedback RC design for a class of non-minimum phase systems with measurable nonlinearities to improve the robustness against the period variation. The design relies on additive-state decomposition, by which the output-feedback RC problem is decomposed into an output-feedback RC problem for a linear time-invariant component and a state-feedback stabilisation problem for a nonlinear component. Thanks to the decomposition, existing controller design methods in both the frequency domain and the time domain are employed to make the robustness and discretisation for a continuous-time nonlinear system tractable. In order to demonstrate the effectiveness, an illustrative example is given.

Date: 2020
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DOI: 10.1080/00207721.2020.1737755

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