Abstract
A direct method for solving the repetitive control (RC, or repetitive controller; also abbreviated as RC) problem for nonlinear systems is to transform them into linear time-invariant (LTI) systems using feedback linearization. Existing design methods that facilitate RC design can be used directly on transformed systems; however, some nonlinear systems cannot be linearized. Therefore, transformed systems are often subject to nonlinearities—assumed to be weak in this chapter—such as Lipschitz conditions or sector conditions. This chapter aims to answer the following question: How is RC applied to linearized systems subject to weak nonlinearities?
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Notes
- 1.
An introduction to sector will be given in Sect. 5.1.3.
References
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Quan, Q., Cai, KY. (2020). Filtered Repetitive Control with Nonlinear Systems: Linearization Methods. In: Filtered Repetitive Control with Nonlinear Systems. Springer, Singapore. https://doi.org/10.1007/978-981-15-1454-8_5
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DOI: https://doi.org/10.1007/978-981-15-1454-8_5
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