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Preview repetitive control for polytopic nonlinear discrete-time systems

Sci Prog. 2022 Apr-Jun;105(2):368504221075472. doi: 10.1177/00368504221075472.

ABSTRACT

In this study, a preview repetitive control (PRC) strategy was developed for uncertain nonlinear discrete-time systems subjected to a previewable periodic reference signal. The proposed preview repetitive controller was designed such that the system output tracked a previewable periodic reference signal even with model uncertainties and nonlinear terms. An augmented two-dimensional (2D) model was constructed based on the 2D model approach and state augmented technique. Second, considering the state unmeasured and periodic tracking reference signal, a static output PRC law was designed using the linear matrix inequality (LMI) techniques. Finally, the effectiveness of the proposed controller was verified through two illustrative examples.

PMID:35542984 | DOI:10.1177/00368504221075472

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